{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "184e2620-4a92-4a16-9bb7-e5cb5424b785",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import pandas as pd"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "id": "572ed40f-72a3-47d6-b1de-2451a2d34bf3",
   "metadata": {},
   "outputs": [],
   "source": [
    "datos11 = pd.read_csv('11.txt', delimiter=',', names=['t(s)', 'y(m)', 'v_y(m/s)', 'a_y(m/s^2)'])\n",
    "datos12 = pd.read_csv('12.txt', delimiter=',', names=['t(s)', 'y(m)', 'v_y(m/s)', 'a_y(m/s^2)'])\n",
    "datos13 = pd.read_csv('13.txt', delimiter=',', names=['t(s)', 'y(m)', 'v_y(m/s)', 'a_y(m/s^2)'])\n",
    "datos14 = pd.read_csv('14.txt', delimiter=',', names=['t(s)', 'y(m)', 'v_y(m/s)', 'a_y(m/s^2)'])\n",
    "datos15 = pd.read_csv('15.txt', delimiter=',', names=['t(s)', 'y(m)', 'v_y(m/s)', 'a_y(m/s^2)'])\n",
    "datos16 = pd.read_csv('16.txt', delimiter=',', names=['t(s)', 'y(m)', 'v_y(m/s)', 'a_y(m/s^2)'])\n",
    "datos17 = pd.read_csv('17.txt', delimiter=',', names=['t(s)', 'y(m)', 'v_y(m/s)', 'a_y(m/s^2)'])\n",
    "datos18 = pd.read_csv('18.txt', delimiter=',', names=['t(s)', 'y(m)', 'v_y(m/s)', 'a_y(m/s^2)'])\n",
    "datos19 = pd.read_csv('19.txt', delimiter=',', names=['t(s)', 'y(m)', 'v_y(m/s)', 'a_y(m/s^2)'])\n",
    "datos20 = pd.read_csv('20.txt', delimiter=',', names=['t(s)', 'y(m)', 'v_y(m/s)', 'a_y(m/s^2)'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "id": "ac6183ad-41ed-4330-8176-3b3b329eda5d",
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "\n",
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       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>t(s)</th>\n",
       "      <th>y(m)</th>\n",
       "      <th>v_y(m/s)</th>\n",
       "      <th>a_y(m/s^2)</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.997691</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>0.049967</td>\n",
       "      <td>0.993072</td>\n",
       "      <td>-0.231101</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0.099933</td>\n",
       "      <td>0.974596</td>\n",
       "      <td>-0.300431</td>\n",
       "      <td>-1.453604</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>0.149900</td>\n",
       "      <td>0.963048</td>\n",
       "      <td>-0.323541</td>\n",
       "      <td>-0.263998</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>0.199867</td>\n",
       "      <td>0.942263</td>\n",
       "      <td>-0.369351</td>\n",
       "      <td>-1.319990</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>0.249944</td>\n",
       "      <td>0.926097</td>\n",
       "      <td>-0.415520</td>\n",
       "      <td>-1.583988</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>0.299911</td>\n",
       "      <td>0.900693</td>\n",
       "      <td>-0.554642</td>\n",
       "      <td>-1.055992</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>0.349878</td>\n",
       "      <td>0.870670</td>\n",
       "      <td>-0.531532</td>\n",
       "      <td>0.132146</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>0.399844</td>\n",
       "      <td>0.847575</td>\n",
       "      <td>-0.508422</td>\n",
       "      <td>0.792875</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>0.449811</td>\n",
       "      <td>0.819861</td>\n",
       "      <td>-0.485312</td>\n",
       "      <td>-0.395997</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>0.499778</td>\n",
       "      <td>0.799076</td>\n",
       "      <td>-0.507857</td>\n",
       "      <td>-1.319990</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>0.549856</td>\n",
       "      <td>0.769053</td>\n",
       "      <td>-0.646364</td>\n",
       "      <td>-3.695971</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>0.599822</td>\n",
       "      <td>0.734411</td>\n",
       "      <td>-0.855074</td>\n",
       "      <td>-3.035977</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>0.649789</td>\n",
       "      <td>0.683603</td>\n",
       "      <td>-0.993734</td>\n",
       "      <td>-0.660729</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>0.699756</td>\n",
       "      <td>0.635104</td>\n",
       "      <td>-0.901294</td>\n",
       "      <td>1.453604</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>0.749722</td>\n",
       "      <td>0.593534</td>\n",
       "      <td>-0.831963</td>\n",
       "      <td>1.847986</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>0.799689</td>\n",
       "      <td>0.551963</td>\n",
       "      <td>-0.738702</td>\n",
       "      <td>2.639980</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>0.849767</td>\n",
       "      <td>0.519630</td>\n",
       "      <td>-0.554026</td>\n",
       "      <td>2.375982</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>0.899733</td>\n",
       "      <td>0.496536</td>\n",
       "      <td>-0.485312</td>\n",
       "      <td>0.659995</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>0.949700</td>\n",
       "      <td>0.471132</td>\n",
       "      <td>-0.508422</td>\n",
       "      <td>-0.792875</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20</th>\n",
       "      <td>0.999667</td>\n",
       "      <td>0.445727</td>\n",
       "      <td>-0.554642</td>\n",
       "      <td>-0.264292</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>21</th>\n",
       "      <td>1.049633</td>\n",
       "      <td>0.415704</td>\n",
       "      <td>-0.554642</td>\n",
       "      <td>0.264292</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>22</th>\n",
       "      <td>1.099600</td>\n",
       "      <td>0.390300</td>\n",
       "      <td>-0.508422</td>\n",
       "      <td>1.055992</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23</th>\n",
       "      <td>1.149567</td>\n",
       "      <td>0.364896</td>\n",
       "      <td>-0.461689</td>\n",
       "      <td>0.527996</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>24</th>\n",
       "      <td>1.199644</td>\n",
       "      <td>0.344111</td>\n",
       "      <td>-0.438604</td>\n",
       "      <td>-0.131999</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25</th>\n",
       "      <td>1.249611</td>\n",
       "      <td>0.321016</td>\n",
       "      <td>-0.485312</td>\n",
       "      <td>-1.715987</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>26</th>\n",
       "      <td>1.299578</td>\n",
       "      <td>0.295612</td>\n",
       "      <td>-0.600862</td>\n",
       "      <td>-2.642916</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>27</th>\n",
       "      <td>1.349544</td>\n",
       "      <td>0.260970</td>\n",
       "      <td>-0.762633</td>\n",
       "      <td>-0.660729</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>28</th>\n",
       "      <td>1.399511</td>\n",
       "      <td>0.219399</td>\n",
       "      <td>-0.693303</td>\n",
       "      <td>2.639980</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>29</th>\n",
       "      <td>1.449478</td>\n",
       "      <td>0.191686</td>\n",
       "      <td>-0.461689</td>\n",
       "      <td>3.167975</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>30</th>\n",
       "      <td>1.499556</td>\n",
       "      <td>0.173210</td>\n",
       "      <td>-0.369351</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>31</th>\n",
       "      <td>1.549522</td>\n",
       "      <td>0.154734</td>\n",
       "      <td>-0.462202</td>\n",
       "      <td>-0.791994</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>32</th>\n",
       "      <td>1.599489</td>\n",
       "      <td>0.127021</td>\n",
       "      <td>-0.485312</td>\n",
       "      <td>-0.396437</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>33</th>\n",
       "      <td>1.649456</td>\n",
       "      <td>0.106236</td>\n",
       "      <td>-0.462202</td>\n",
       "      <td>-0.264292</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>34</th>\n",
       "      <td>1.699422</td>\n",
       "      <td>0.080831</td>\n",
       "      <td>-0.531532</td>\n",
       "      <td>-0.925021</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>35</th>\n",
       "      <td>1.749389</td>\n",
       "      <td>0.053118</td>\n",
       "      <td>-0.554642</td>\n",
       "      <td>1.055992</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>36</th>\n",
       "      <td>1.799356</td>\n",
       "      <td>0.025404</td>\n",
       "      <td>-0.438604</td>\n",
       "      <td>2.771979</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>37</th>\n",
       "      <td>1.849433</td>\n",
       "      <td>0.009238</td>\n",
       "      <td>-0.253929</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>38</th>\n",
       "      <td>1.899400</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "        t(s)      y(m)  v_y(m/s)  a_y(m/s^2)\n",
       "0   0.000000  0.997691  0.000000    0.000000\n",
       "1   0.049967  0.993072 -0.231101    0.000000\n",
       "2   0.099933  0.974596 -0.300431   -1.453604\n",
       "3   0.149900  0.963048 -0.323541   -0.263998\n",
       "4   0.199867  0.942263 -0.369351   -1.319990\n",
       "5   0.249944  0.926097 -0.415520   -1.583988\n",
       "6   0.299911  0.900693 -0.554642   -1.055992\n",
       "7   0.349878  0.870670 -0.531532    0.132146\n",
       "8   0.399844  0.847575 -0.508422    0.792875\n",
       "9   0.449811  0.819861 -0.485312   -0.395997\n",
       "10  0.499778  0.799076 -0.507857   -1.319990\n",
       "11  0.549856  0.769053 -0.646364   -3.695971\n",
       "12  0.599822  0.734411 -0.855074   -3.035977\n",
       "13  0.649789  0.683603 -0.993734   -0.660729\n",
       "14  0.699756  0.635104 -0.901294    1.453604\n",
       "15  0.749722  0.593534 -0.831963    1.847986\n",
       "16  0.799689  0.551963 -0.738702    2.639980\n",
       "17  0.849767  0.519630 -0.554026    2.375982\n",
       "18  0.899733  0.496536 -0.485312    0.659995\n",
       "19  0.949700  0.471132 -0.508422   -0.792875\n",
       "20  0.999667  0.445727 -0.554642   -0.264292\n",
       "21  1.049633  0.415704 -0.554642    0.264292\n",
       "22  1.099600  0.390300 -0.508422    1.055992\n",
       "23  1.149567  0.364896 -0.461689    0.527996\n",
       "24  1.199644  0.344111 -0.438604   -0.131999\n",
       "25  1.249611  0.321016 -0.485312   -1.715987\n",
       "26  1.299578  0.295612 -0.600862   -2.642916\n",
       "27  1.349544  0.260970 -0.762633   -0.660729\n",
       "28  1.399511  0.219399 -0.693303    2.639980\n",
       "29  1.449478  0.191686 -0.461689    3.167975\n",
       "30  1.499556  0.173210 -0.369351    0.000000\n",
       "31  1.549522  0.154734 -0.462202   -0.791994\n",
       "32  1.599489  0.127021 -0.485312   -0.396437\n",
       "33  1.649456  0.106236 -0.462202   -0.264292\n",
       "34  1.699422  0.080831 -0.531532   -0.925021\n",
       "35  1.749389  0.053118 -0.554642    1.055992\n",
       "36  1.799356  0.025404 -0.438604    2.771979\n",
       "37  1.849433  0.009238 -0.253929    0.000000\n",
       "38  1.899400  0.000000  0.000000    0.000000"
      ]
     },
     "execution_count": 33,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "datos11"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "id": "3167378f-1863-43a5-b038-b279d1ba40b9",
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>t(s)</th>\n",
       "      <th>y(m)</th>\n",
       "      <th>v_y(m/s)</th>\n",
       "      <th>a_y(m/s^2)</th>\n",
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       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.995434</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>0.049967</td>\n",
       "      <td>0.981735</td>\n",
       "      <td>-0.228463</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0.099933</td>\n",
       "      <td>0.972603</td>\n",
       "      <td>-0.205617</td>\n",
       "      <td>0.391912</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>0.149900</td>\n",
       "      <td>0.961187</td>\n",
       "      <td>-0.205617</td>\n",
       "      <td>-0.391912</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>0.199867</td>\n",
       "      <td>0.952055</td>\n",
       "      <td>-0.228463</td>\n",
       "      <td>-0.522549</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>0.249833</td>\n",
       "      <td>0.938356</td>\n",
       "      <td>-0.274155</td>\n",
       "      <td>-1.565906</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>0.299800</td>\n",
       "      <td>0.924658</td>\n",
       "      <td>-0.365134</td>\n",
       "      <td>-1.826890</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>0.349878</td>\n",
       "      <td>0.901826</td>\n",
       "      <td>-0.479239</td>\n",
       "      <td>-1.957382</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>0.399844</td>\n",
       "      <td>0.876712</td>\n",
       "      <td>-0.548311</td>\n",
       "      <td>-1.304921</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>0.449811</td>\n",
       "      <td>0.847032</td>\n",
       "      <td>-0.616850</td>\n",
       "      <td>-1.175735</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>0.499778</td>\n",
       "      <td>0.815068</td>\n",
       "      <td>-0.662542</td>\n",
       "      <td>-0.391476</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>0.549744</td>\n",
       "      <td>0.780822</td>\n",
       "      <td>-0.661806</td>\n",
       "      <td>-0.652461</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>0.599822</td>\n",
       "      <td>0.748858</td>\n",
       "      <td>-0.707448</td>\n",
       "      <td>-0.652461</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>0.649789</td>\n",
       "      <td>0.710046</td>\n",
       "      <td>-0.753927</td>\n",
       "      <td>1.174429</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>0.699756</td>\n",
       "      <td>0.673516</td>\n",
       "      <td>-0.594003</td>\n",
       "      <td>3.396569</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>0.749722</td>\n",
       "      <td>0.650685</td>\n",
       "      <td>-0.388387</td>\n",
       "      <td>3.527206</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>0.799689</td>\n",
       "      <td>0.634703</td>\n",
       "      <td>-0.251309</td>\n",
       "      <td>1.698284</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>0.849656</td>\n",
       "      <td>0.625571</td>\n",
       "      <td>-0.205617</td>\n",
       "      <td>0.391912</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>0.899622</td>\n",
       "      <td>0.614155</td>\n",
       "      <td>-0.228463</td>\n",
       "      <td>-2.087874</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>0.949589</td>\n",
       "      <td>0.602740</td>\n",
       "      <td>-0.387955</td>\n",
       "      <td>-2.479351</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20</th>\n",
       "      <td>0.999667</td>\n",
       "      <td>0.575342</td>\n",
       "      <td>-0.524881</td>\n",
       "      <td>0.130492</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>21</th>\n",
       "      <td>1.049633</td>\n",
       "      <td>0.550228</td>\n",
       "      <td>-0.365540</td>\n",
       "      <td>1.304921</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>22</th>\n",
       "      <td>1.099600</td>\n",
       "      <td>0.538813</td>\n",
       "      <td>-0.342694</td>\n",
       "      <td>-0.391912</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23</th>\n",
       "      <td>1.149567</td>\n",
       "      <td>0.515982</td>\n",
       "      <td>-0.456926</td>\n",
       "      <td>-1.045098</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>24</th>\n",
       "      <td>1.199533</td>\n",
       "      <td>0.493151</td>\n",
       "      <td>-0.434079</td>\n",
       "      <td>0.914461</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25</th>\n",
       "      <td>1.249500</td>\n",
       "      <td>0.472603</td>\n",
       "      <td>-0.365540</td>\n",
       "      <td>1.304776</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>26</th>\n",
       "      <td>1.299467</td>\n",
       "      <td>0.456621</td>\n",
       "      <td>-0.296639</td>\n",
       "      <td>0.391302</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>27</th>\n",
       "      <td>1.349556</td>\n",
       "      <td>0.442922</td>\n",
       "      <td>-0.319351</td>\n",
       "      <td>-1.825470</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>28</th>\n",
       "      <td>1.399556</td>\n",
       "      <td>0.424658</td>\n",
       "      <td>-0.479452</td>\n",
       "      <td>-5.344237</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>29</th>\n",
       "      <td>1.449556</td>\n",
       "      <td>0.394977</td>\n",
       "      <td>-0.844749</td>\n",
       "      <td>-3.261579</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>30</th>\n",
       "      <td>1.499556</td>\n",
       "      <td>0.340183</td>\n",
       "      <td>-0.890411</td>\n",
       "      <td>1.174168</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>31</th>\n",
       "      <td>1.549556</td>\n",
       "      <td>0.305936</td>\n",
       "      <td>-0.639269</td>\n",
       "      <td>3.913894</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>32</th>\n",
       "      <td>1.599556</td>\n",
       "      <td>0.276256</td>\n",
       "      <td>-0.525114</td>\n",
       "      <td>2.483765</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>33</th>\n",
       "      <td>1.649556</td>\n",
       "      <td>0.253425</td>\n",
       "      <td>-0.388906</td>\n",
       "      <td>1.436850</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>34</th>\n",
       "      <td>1.699356</td>\n",
       "      <td>0.237443</td>\n",
       "      <td>-0.365744</td>\n",
       "      <td>1.567647</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>35</th>\n",
       "      <td>1.749433</td>\n",
       "      <td>0.216895</td>\n",
       "      <td>-0.273790</td>\n",
       "      <td>-0.261362</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>36</th>\n",
       "      <td>1.799422</td>\n",
       "      <td>0.210046</td>\n",
       "      <td>-0.319777</td>\n",
       "      <td>-3.392042</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>37</th>\n",
       "      <td>1.849389</td>\n",
       "      <td>0.184931</td>\n",
       "      <td>-0.662542</td>\n",
       "      <td>-4.571288</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>38</th>\n",
       "      <td>1.899356</td>\n",
       "      <td>0.143836</td>\n",
       "      <td>-0.799620</td>\n",
       "      <td>-2.220834</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>39</th>\n",
       "      <td>1.949322</td>\n",
       "      <td>0.105023</td>\n",
       "      <td>-0.845312</td>\n",
       "      <td>1.698284</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>40</th>\n",
       "      <td>1.999289</td>\n",
       "      <td>0.059361</td>\n",
       "      <td>-0.685388</td>\n",
       "      <td>3.919118</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>41</th>\n",
       "      <td>2.049256</td>\n",
       "      <td>0.036530</td>\n",
       "      <td>-0.388387</td>\n",
       "      <td>5.094853</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>42</th>\n",
       "      <td>2.099222</td>\n",
       "      <td>0.020548</td>\n",
       "      <td>-0.205617</td>\n",
       "      <td>2.217873</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>43</th>\n",
       "      <td>2.149189</td>\n",
       "      <td>0.015982</td>\n",
       "      <td>-0.136895</td>\n",
       "      <td>0.782518</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>44</th>\n",
       "      <td>2.199289</td>\n",
       "      <td>0.006849</td>\n",
       "      <td>-0.159658</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>45</th>\n",
       "      <td>2.249289</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "        t(s)      y(m)  v_y(m/s)  a_y(m/s^2)\n",
       "0   0.000000  0.995434  0.000000    0.000000\n",
       "1   0.049967  0.981735 -0.228463    0.000000\n",
       "2   0.099933  0.972603 -0.205617    0.391912\n",
       "3   0.149900  0.961187 -0.205617   -0.391912\n",
       "4   0.199867  0.952055 -0.228463   -0.522549\n",
       "5   0.249833  0.938356 -0.274155   -1.565906\n",
       "6   0.299800  0.924658 -0.365134   -1.826890\n",
       "7   0.349878  0.901826 -0.479239   -1.957382\n",
       "8   0.399844  0.876712 -0.548311   -1.304921\n",
       "9   0.449811  0.847032 -0.616850   -1.175735\n",
       "10  0.499778  0.815068 -0.662542   -0.391476\n",
       "11  0.549744  0.780822 -0.661806   -0.652461\n",
       "12  0.599822  0.748858 -0.707448   -0.652461\n",
       "13  0.649789  0.710046 -0.753927    1.174429\n",
       "14  0.699756  0.673516 -0.594003    3.396569\n",
       "15  0.749722  0.650685 -0.388387    3.527206\n",
       "16  0.799689  0.634703 -0.251309    1.698284\n",
       "17  0.849656  0.625571 -0.205617    0.391912\n",
       "18  0.899622  0.614155 -0.228463   -2.087874\n",
       "19  0.949589  0.602740 -0.387955   -2.479351\n",
       "20  0.999667  0.575342 -0.524881    0.130492\n",
       "21  1.049633  0.550228 -0.365540    1.304921\n",
       "22  1.099600  0.538813 -0.342694   -0.391912\n",
       "23  1.149567  0.515982 -0.456926   -1.045098\n",
       "24  1.199533  0.493151 -0.434079    0.914461\n",
       "25  1.249500  0.472603 -0.365540    1.304776\n",
       "26  1.299467  0.456621 -0.296639    0.391302\n",
       "27  1.349556  0.442922 -0.319351   -1.825470\n",
       "28  1.399556  0.424658 -0.479452   -5.344237\n",
       "29  1.449556  0.394977 -0.844749   -3.261579\n",
       "30  1.499556  0.340183 -0.890411    1.174168\n",
       "31  1.549556  0.305936 -0.639269    3.913894\n",
       "32  1.599556  0.276256 -0.525114    2.483765\n",
       "33  1.649556  0.253425 -0.388906    1.436850\n",
       "34  1.699356  0.237443 -0.365744    1.567647\n",
       "35  1.749433  0.216895 -0.273790   -0.261362\n",
       "36  1.799422  0.210046 -0.319777   -3.392042\n",
       "37  1.849389  0.184931 -0.662542   -4.571288\n",
       "38  1.899356  0.143836 -0.799620   -2.220834\n",
       "39  1.949322  0.105023 -0.845312    1.698284\n",
       "40  1.999289  0.059361 -0.685388    3.919118\n",
       "41  2.049256  0.036530 -0.388387    5.094853\n",
       "42  2.099222  0.020548 -0.205617    2.217873\n",
       "43  2.149189  0.015982 -0.136895    0.782518\n",
       "44  2.199289  0.006849 -0.159658    0.000000\n",
       "45  2.249289  0.000000  0.000000    0.000000"
      ]
     },
     "execution_count": 34,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "datos12"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "id": "a94ddc57-8261-4f18-ba59-0db952e9e025",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
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       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>t(s)</th>\n",
       "      <th>y(m)</th>\n",
       "      <th>v_y(m/s)</th>\n",
       "      <th>a_y(m/s^2)</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.993750</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>0.049967</td>\n",
       "      <td>0.972917</td>\n",
       "      <td>-0.458130</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0.100044</td>\n",
       "      <td>0.947917</td>\n",
       "      <td>-0.520602</td>\n",
       "      <td>0.119074</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>0.150011</td>\n",
       "      <td>0.920833</td>\n",
       "      <td>-0.458639</td>\n",
       "      <td>1.905185</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>0.199978</td>\n",
       "      <td>0.902083</td>\n",
       "      <td>-0.312709</td>\n",
       "      <td>1.072859</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>0.249944</td>\n",
       "      <td>0.889583</td>\n",
       "      <td>-0.333556</td>\n",
       "      <td>-0.715239</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>0.299911</td>\n",
       "      <td>0.868750</td>\n",
       "      <td>-0.416945</td>\n",
       "      <td>-1.190741</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>0.349878</td>\n",
       "      <td>0.847917</td>\n",
       "      <td>-0.437306</td>\n",
       "      <td>0.595370</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>0.399956</td>\n",
       "      <td>0.825000</td>\n",
       "      <td>-0.374833</td>\n",
       "      <td>0.714445</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>0.449922</td>\n",
       "      <td>0.810417</td>\n",
       "      <td>-0.333556</td>\n",
       "      <td>-0.238148</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>0.499889</td>\n",
       "      <td>0.791667</td>\n",
       "      <td>-0.416945</td>\n",
       "      <td>-0.953652</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>0.549856</td>\n",
       "      <td>0.768750</td>\n",
       "      <td>-0.437792</td>\n",
       "      <td>-1.072859</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>0.599822</td>\n",
       "      <td>0.747917</td>\n",
       "      <td>-0.500334</td>\n",
       "      <td>-0.952593</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>0.649789</td>\n",
       "      <td>0.718750</td>\n",
       "      <td>-0.562250</td>\n",
       "      <td>-0.833519</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>0.699867</td>\n",
       "      <td>0.691667</td>\n",
       "      <td>-0.562250</td>\n",
       "      <td>-0.119074</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>0.749833</td>\n",
       "      <td>0.662500</td>\n",
       "      <td>-0.583723</td>\n",
       "      <td>0.238148</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>0.799800</td>\n",
       "      <td>0.633333</td>\n",
       "      <td>-0.542028</td>\n",
       "      <td>1.192065</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>0.849767</td>\n",
       "      <td>0.608333</td>\n",
       "      <td>-0.458639</td>\n",
       "      <td>1.430478</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>0.899733</td>\n",
       "      <td>0.587500</td>\n",
       "      <td>-0.396097</td>\n",
       "      <td>0.119207</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>0.949700</td>\n",
       "      <td>0.568750</td>\n",
       "      <td>-0.437792</td>\n",
       "      <td>-0.357619</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20</th>\n",
       "      <td>0.999667</td>\n",
       "      <td>0.543750</td>\n",
       "      <td>-0.458639</td>\n",
       "      <td>-1.667037</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>21</th>\n",
       "      <td>1.049633</td>\n",
       "      <td>0.522917</td>\n",
       "      <td>-0.562250</td>\n",
       "      <td>-2.262407</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>22</th>\n",
       "      <td>1.099711</td>\n",
       "      <td>0.487500</td>\n",
       "      <td>-0.728843</td>\n",
       "      <td>-2.024259</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23</th>\n",
       "      <td>1.149678</td>\n",
       "      <td>0.450000</td>\n",
       "      <td>-0.750500</td>\n",
       "      <td>-0.476296</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>24</th>\n",
       "      <td>1.199644</td>\n",
       "      <td>0.412500</td>\n",
       "      <td>-0.771348</td>\n",
       "      <td>0.357619</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25</th>\n",
       "      <td>1.249611</td>\n",
       "      <td>0.372917</td>\n",
       "      <td>-0.729653</td>\n",
       "      <td>0.596032</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>26</th>\n",
       "      <td>1.299578</td>\n",
       "      <td>0.339583</td>\n",
       "      <td>-0.687959</td>\n",
       "      <td>2.741750</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>27</th>\n",
       "      <td>1.349544</td>\n",
       "      <td>0.304167</td>\n",
       "      <td>-0.500334</td>\n",
       "      <td>3.095926</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>28</th>\n",
       "      <td>1.399511</td>\n",
       "      <td>0.289583</td>\n",
       "      <td>-0.312361</td>\n",
       "      <td>1.786111</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>29</th>\n",
       "      <td>1.449589</td>\n",
       "      <td>0.272917</td>\n",
       "      <td>-0.354009</td>\n",
       "      <td>-1.071667</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>30</th>\n",
       "      <td>1.499556</td>\n",
       "      <td>0.254167</td>\n",
       "      <td>-0.416945</td>\n",
       "      <td>-1.667037</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>31</th>\n",
       "      <td>1.549522</td>\n",
       "      <td>0.231250</td>\n",
       "      <td>-0.521181</td>\n",
       "      <td>-2.264924</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>32</th>\n",
       "      <td>1.599489</td>\n",
       "      <td>0.202083</td>\n",
       "      <td>-0.646264</td>\n",
       "      <td>-0.357619</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>33</th>\n",
       "      <td>1.649456</td>\n",
       "      <td>0.166667</td>\n",
       "      <td>-0.583723</td>\n",
       "      <td>1.430478</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>34</th>\n",
       "      <td>1.699422</td>\n",
       "      <td>0.143750</td>\n",
       "      <td>-0.458639</td>\n",
       "      <td>1.190741</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>35</th>\n",
       "      <td>1.749389</td>\n",
       "      <td>0.120833</td>\n",
       "      <td>-0.478954</td>\n",
       "      <td>0.595370</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>36</th>\n",
       "      <td>1.799467</td>\n",
       "      <td>0.095833</td>\n",
       "      <td>-0.416482</td>\n",
       "      <td>2.619630</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>37</th>\n",
       "      <td>1.849433</td>\n",
       "      <td>0.079167</td>\n",
       "      <td>-0.208472</td>\n",
       "      <td>1.428889</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>38</th>\n",
       "      <td>1.899400</td>\n",
       "      <td>0.075000</td>\n",
       "      <td>-0.229320</td>\n",
       "      <td>-1.788098</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>39</th>\n",
       "      <td>1.949367</td>\n",
       "      <td>0.056250</td>\n",
       "      <td>-0.437792</td>\n",
       "      <td>-2.262407</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>40</th>\n",
       "      <td>1.999333</td>\n",
       "      <td>0.031250</td>\n",
       "      <td>-0.458130</td>\n",
       "      <td>1.190741</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>41</th>\n",
       "      <td>2.049411</td>\n",
       "      <td>0.010417</td>\n",
       "      <td>-0.312361</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>42</th>\n",
       "      <td>2.099378</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "        t(s)      y(m)  v_y(m/s)  a_y(m/s^2)\n",
       "0   0.000000  0.993750  0.000000    0.000000\n",
       "1   0.049967  0.972917 -0.458130    0.000000\n",
       "2   0.100044  0.947917 -0.520602    0.119074\n",
       "3   0.150011  0.920833 -0.458639    1.905185\n",
       "4   0.199978  0.902083 -0.312709    1.072859\n",
       "5   0.249944  0.889583 -0.333556   -0.715239\n",
       "6   0.299911  0.868750 -0.416945   -1.190741\n",
       "7   0.349878  0.847917 -0.437306    0.595370\n",
       "8   0.399956  0.825000 -0.374833    0.714445\n",
       "9   0.449922  0.810417 -0.333556   -0.238148\n",
       "10  0.499889  0.791667 -0.416945   -0.953652\n",
       "11  0.549856  0.768750 -0.437792   -1.072859\n",
       "12  0.599822  0.747917 -0.500334   -0.952593\n",
       "13  0.649789  0.718750 -0.562250   -0.833519\n",
       "14  0.699867  0.691667 -0.562250   -0.119074\n",
       "15  0.749833  0.662500 -0.583723    0.238148\n",
       "16  0.799800  0.633333 -0.542028    1.192065\n",
       "17  0.849767  0.608333 -0.458639    1.430478\n",
       "18  0.899733  0.587500 -0.396097    0.119207\n",
       "19  0.949700  0.568750 -0.437792   -0.357619\n",
       "20  0.999667  0.543750 -0.458639   -1.667037\n",
       "21  1.049633  0.522917 -0.562250   -2.262407\n",
       "22  1.099711  0.487500 -0.728843   -2.024259\n",
       "23  1.149678  0.450000 -0.750500   -0.476296\n",
       "24  1.199644  0.412500 -0.771348    0.357619\n",
       "25  1.249611  0.372917 -0.729653    0.596032\n",
       "26  1.299578  0.339583 -0.687959    2.741750\n",
       "27  1.349544  0.304167 -0.500334    3.095926\n",
       "28  1.399511  0.289583 -0.312361    1.786111\n",
       "29  1.449589  0.272917 -0.354009   -1.071667\n",
       "30  1.499556  0.254167 -0.416945   -1.667037\n",
       "31  1.549522  0.231250 -0.521181   -2.264924\n",
       "32  1.599489  0.202083 -0.646264   -0.357619\n",
       "33  1.649456  0.166667 -0.583723    1.430478\n",
       "34  1.699422  0.143750 -0.458639    1.190741\n",
       "35  1.749389  0.120833 -0.478954    0.595370\n",
       "36  1.799467  0.095833 -0.416482    2.619630\n",
       "37  1.849433  0.079167 -0.208472    1.428889\n",
       "38  1.899400  0.075000 -0.229320   -1.788098\n",
       "39  1.949367  0.056250 -0.437792   -2.262407\n",
       "40  1.999333  0.031250 -0.458130    1.190741\n",
       "41  2.049411  0.010417 -0.312361    0.000000\n",
       "42  2.099378  0.000000  0.000000    0.000000"
      ]
     },
     "execution_count": 35,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "datos13"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "id": "d7ed3a98-1f1d-436c-8869-9e31c63c7e39",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
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       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>t(s)</th>\n",
       "      <th>y(m)</th>\n",
       "      <th>v_y(m/s)</th>\n",
       "      <th>a_y(m/s^2)</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.990888</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>0.049967</td>\n",
       "      <td>0.984055</td>\n",
       "      <td>-0.159560</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0.099933</td>\n",
       "      <td>0.974943</td>\n",
       "      <td>-0.205148</td>\n",
       "      <td>-1.173057</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>0.149900</td>\n",
       "      <td>0.963553</td>\n",
       "      <td>-0.273531</td>\n",
       "      <td>-1.824756</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>0.199867</td>\n",
       "      <td>0.947608</td>\n",
       "      <td>-0.387502</td>\n",
       "      <td>-1.952923</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>0.249833</td>\n",
       "      <td>0.924829</td>\n",
       "      <td>-0.478147</td>\n",
       "      <td>-0.911364</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>0.299911</td>\n",
       "      <td>0.899772</td>\n",
       "      <td>-0.478147</td>\n",
       "      <td>-0.130195</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>0.349878</td>\n",
       "      <td>0.876993</td>\n",
       "      <td>-0.478679</td>\n",
       "      <td>0.390585</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>0.399844</td>\n",
       "      <td>0.851936</td>\n",
       "      <td>-0.455885</td>\n",
       "      <td>0.782038</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>0.449811</td>\n",
       "      <td>0.831435</td>\n",
       "      <td>-0.387502</td>\n",
       "      <td>0.391019</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>0.499778</td>\n",
       "      <td>0.813212</td>\n",
       "      <td>-0.410296</td>\n",
       "      <td>-0.521359</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>0.549744</td>\n",
       "      <td>0.790433</td>\n",
       "      <td>-0.455885</td>\n",
       "      <td>-0.782038</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>0.599711</td>\n",
       "      <td>0.767654</td>\n",
       "      <td>-0.478679</td>\n",
       "      <td>-0.650975</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>0.649678</td>\n",
       "      <td>0.742597</td>\n",
       "      <td>-0.523685</td>\n",
       "      <td>-0.650975</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>0.699756</td>\n",
       "      <td>0.715262</td>\n",
       "      <td>-0.546454</td>\n",
       "      <td>0.520780</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>0.749722</td>\n",
       "      <td>0.687927</td>\n",
       "      <td>-0.478679</td>\n",
       "      <td>1.171754</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>0.799689</td>\n",
       "      <td>0.667426</td>\n",
       "      <td>-0.410296</td>\n",
       "      <td>-0.521359</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>0.849656</td>\n",
       "      <td>0.646925</td>\n",
       "      <td>-0.524267</td>\n",
       "      <td>-0.130340</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>0.899622</td>\n",
       "      <td>0.615034</td>\n",
       "      <td>-0.478679</td>\n",
       "      <td>1.171754</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>0.949589</td>\n",
       "      <td>0.599089</td>\n",
       "      <td>-0.341534</td>\n",
       "      <td>0.130195</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20</th>\n",
       "      <td>0.999667</td>\n",
       "      <td>0.580866</td>\n",
       "      <td>-0.478147</td>\n",
       "      <td>-2.734093</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>21</th>\n",
       "      <td>1.049633</td>\n",
       "      <td>0.551253</td>\n",
       "      <td>-0.638239</td>\n",
       "      <td>-2.603898</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>22</th>\n",
       "      <td>1.099600</td>\n",
       "      <td>0.517084</td>\n",
       "      <td>-0.729416</td>\n",
       "      <td>0.782038</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23</th>\n",
       "      <td>1.149567</td>\n",
       "      <td>0.478360</td>\n",
       "      <td>-0.592650</td>\n",
       "      <td>2.867473</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>24</th>\n",
       "      <td>1.199533</td>\n",
       "      <td>0.457859</td>\n",
       "      <td>-0.387502</td>\n",
       "      <td>3.519172</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25</th>\n",
       "      <td>1.249500</td>\n",
       "      <td>0.439636</td>\n",
       "      <td>-0.273531</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>26</th>\n",
       "      <td>1.299467</td>\n",
       "      <td>0.430524</td>\n",
       "      <td>-0.341534</td>\n",
       "      <td>-3.254872</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>27</th>\n",
       "      <td>1.349544</td>\n",
       "      <td>0.405467</td>\n",
       "      <td>-0.637530</td>\n",
       "      <td>-4.947406</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>28</th>\n",
       "      <td>1.399511</td>\n",
       "      <td>0.366743</td>\n",
       "      <td>-0.843387</td>\n",
       "      <td>-1.432144</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>29</th>\n",
       "      <td>1.449478</td>\n",
       "      <td>0.321184</td>\n",
       "      <td>-0.797798</td>\n",
       "      <td>1.694416</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>30</th>\n",
       "      <td>1.499444</td>\n",
       "      <td>0.287016</td>\n",
       "      <td>-0.638239</td>\n",
       "      <td>2.867473</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>31</th>\n",
       "      <td>1.549411</td>\n",
       "      <td>0.257403</td>\n",
       "      <td>-0.524267</td>\n",
       "      <td>1.432144</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>32</th>\n",
       "      <td>1.599378</td>\n",
       "      <td>0.234624</td>\n",
       "      <td>-0.478147</td>\n",
       "      <td>-1.432144</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>33</th>\n",
       "      <td>1.649456</td>\n",
       "      <td>0.209567</td>\n",
       "      <td>-0.660299</td>\n",
       "      <td>-2.994483</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>34</th>\n",
       "      <td>1.699422</td>\n",
       "      <td>0.168565</td>\n",
       "      <td>-0.820593</td>\n",
       "      <td>-1.562339</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>35</th>\n",
       "      <td>1.749389</td>\n",
       "      <td>0.127563</td>\n",
       "      <td>-0.797798</td>\n",
       "      <td>1.694416</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>36</th>\n",
       "      <td>1.799356</td>\n",
       "      <td>0.088838</td>\n",
       "      <td>-0.661033</td>\n",
       "      <td>3.258492</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>37</th>\n",
       "      <td>1.849322</td>\n",
       "      <td>0.061503</td>\n",
       "      <td>-0.455885</td>\n",
       "      <td>5.474267</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>38</th>\n",
       "      <td>1.899289</td>\n",
       "      <td>0.043280</td>\n",
       "      <td>-0.136765</td>\n",
       "      <td>7.290914</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>39</th>\n",
       "      <td>1.949256</td>\n",
       "      <td>0.047836</td>\n",
       "      <td>0.295996</td>\n",
       "      <td>3.775652</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>40</th>\n",
       "      <td>1.999333</td>\n",
       "      <td>0.072893</td>\n",
       "      <td>0.295996</td>\n",
       "      <td>-2.213313</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>41</th>\n",
       "      <td>2.049300</td>\n",
       "      <td>0.077449</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>-5.468185</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>42</th>\n",
       "      <td>2.099267</td>\n",
       "      <td>0.072893</td>\n",
       "      <td>-0.227942</td>\n",
       "      <td>-3.649511</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>43</th>\n",
       "      <td>2.149233</td>\n",
       "      <td>0.054670</td>\n",
       "      <td>-0.387502</td>\n",
       "      <td>-2.215775</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>44</th>\n",
       "      <td>2.199200</td>\n",
       "      <td>0.034169</td>\n",
       "      <td>-0.433090</td>\n",
       "      <td>0.650975</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>45</th>\n",
       "      <td>2.249167</td>\n",
       "      <td>0.011390</td>\n",
       "      <td>-0.341534</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>46</th>\n",
       "      <td>2.299244</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "        t(s)      y(m)  v_y(m/s)  a_y(m/s^2)\n",
       "0   0.000000  0.990888  0.000000    0.000000\n",
       "1   0.049967  0.984055 -0.159560    0.000000\n",
       "2   0.099933  0.974943 -0.205148   -1.173057\n",
       "3   0.149900  0.963553 -0.273531   -1.824756\n",
       "4   0.199867  0.947608 -0.387502   -1.952923\n",
       "5   0.249833  0.924829 -0.478147   -0.911364\n",
       "6   0.299911  0.899772 -0.478147   -0.130195\n",
       "7   0.349878  0.876993 -0.478679    0.390585\n",
       "8   0.399844  0.851936 -0.455885    0.782038\n",
       "9   0.449811  0.831435 -0.387502    0.391019\n",
       "10  0.499778  0.813212 -0.410296   -0.521359\n",
       "11  0.549744  0.790433 -0.455885   -0.782038\n",
       "12  0.599711  0.767654 -0.478679   -0.650975\n",
       "13  0.649678  0.742597 -0.523685   -0.650975\n",
       "14  0.699756  0.715262 -0.546454    0.520780\n",
       "15  0.749722  0.687927 -0.478679    1.171754\n",
       "16  0.799689  0.667426 -0.410296   -0.521359\n",
       "17  0.849656  0.646925 -0.524267   -0.130340\n",
       "18  0.899622  0.615034 -0.478679    1.171754\n",
       "19  0.949589  0.599089 -0.341534    0.130195\n",
       "20  0.999667  0.580866 -0.478147   -2.734093\n",
       "21  1.049633  0.551253 -0.638239   -2.603898\n",
       "22  1.099600  0.517084 -0.729416    0.782038\n",
       "23  1.149567  0.478360 -0.592650    2.867473\n",
       "24  1.199533  0.457859 -0.387502    3.519172\n",
       "25  1.249500  0.439636 -0.273531    0.000000\n",
       "26  1.299467  0.430524 -0.341534   -3.254872\n",
       "27  1.349544  0.405467 -0.637530   -4.947406\n",
       "28  1.399511  0.366743 -0.843387   -1.432144\n",
       "29  1.449478  0.321184 -0.797798    1.694416\n",
       "30  1.499444  0.287016 -0.638239    2.867473\n",
       "31  1.549411  0.257403 -0.524267    1.432144\n",
       "32  1.599378  0.234624 -0.478147   -1.432144\n",
       "33  1.649456  0.209567 -0.660299   -2.994483\n",
       "34  1.699422  0.168565 -0.820593   -1.562339\n",
       "35  1.749389  0.127563 -0.797798    1.694416\n",
       "36  1.799356  0.088838 -0.661033    3.258492\n",
       "37  1.849322  0.061503 -0.455885    5.474267\n",
       "38  1.899289  0.043280 -0.136765    7.290914\n",
       "39  1.949256  0.047836  0.295996    3.775652\n",
       "40  1.999333  0.072893  0.295996   -2.213313\n",
       "41  2.049300  0.077449  0.000000   -5.468185\n",
       "42  2.099267  0.072893 -0.227942   -3.649511\n",
       "43  2.149233  0.054670 -0.387502   -2.215775\n",
       "44  2.199200  0.034169 -0.433090    0.650975\n",
       "45  2.249167  0.011390 -0.341534    0.000000\n",
       "46  2.299244  0.000000  0.000000    0.000000"
      ]
     },
     "execution_count": 36,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "datos14"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "id": "a2b47c3a-b2f2-4c00-b975-ad9aafe49af5",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
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       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>t(s)</th>\n",
       "      <th>y(m)</th>\n",
       "      <th>v_y(m/s)</th>\n",
       "      <th>a_y(m/s^2)</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.995536</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>0.049967</td>\n",
       "      <td>0.973214</td>\n",
       "      <td>-0.379717</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0.099933</td>\n",
       "      <td>0.957589</td>\n",
       "      <td>-0.312361</td>\n",
       "      <td>1.530952</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>0.150011</td>\n",
       "      <td>0.941964</td>\n",
       "      <td>-0.245427</td>\n",
       "      <td>-0.127579</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>0.199978</td>\n",
       "      <td>0.933036</td>\n",
       "      <td>-0.290372</td>\n",
       "      <td>-1.403373</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>0.249944</td>\n",
       "      <td>0.912946</td>\n",
       "      <td>-0.424390</td>\n",
       "      <td>-1.660376</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>0.299911</td>\n",
       "      <td>0.890625</td>\n",
       "      <td>-0.446726</td>\n",
       "      <td>0.255443</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>0.349878</td>\n",
       "      <td>0.868304</td>\n",
       "      <td>-0.402054</td>\n",
       "      <td>-0.255443</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>0.399844</td>\n",
       "      <td>0.850446</td>\n",
       "      <td>-0.446726</td>\n",
       "      <td>-0.510317</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>0.449811</td>\n",
       "      <td>0.823661</td>\n",
       "      <td>-0.490853</td>\n",
       "      <td>-0.255159</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>0.499889</td>\n",
       "      <td>0.801339</td>\n",
       "      <td>-0.446230</td>\n",
       "      <td>0.765476</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>0.549856</td>\n",
       "      <td>0.779018</td>\n",
       "      <td>-0.424390</td>\n",
       "      <td>1.148214</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>0.599822</td>\n",
       "      <td>0.758929</td>\n",
       "      <td>-0.335045</td>\n",
       "      <td>0.894049</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>0.649789</td>\n",
       "      <td>0.745536</td>\n",
       "      <td>-0.312709</td>\n",
       "      <td>-1.530952</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>0.699756</td>\n",
       "      <td>0.727679</td>\n",
       "      <td>-0.490853</td>\n",
       "      <td>-3.061905</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>0.749833</td>\n",
       "      <td>0.696429</td>\n",
       "      <td>-0.647034</td>\n",
       "      <td>-1.913691</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>0.799800</td>\n",
       "      <td>0.662946</td>\n",
       "      <td>-0.670090</td>\n",
       "      <td>-0.765476</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>0.849767</td>\n",
       "      <td>0.629464</td>\n",
       "      <td>-0.714762</td>\n",
       "      <td>0.766328</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>0.899733</td>\n",
       "      <td>0.591518</td>\n",
       "      <td>-0.625417</td>\n",
       "      <td>4.087080</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>0.949700</td>\n",
       "      <td>0.566964</td>\n",
       "      <td>-0.290372</td>\n",
       "      <td>2.937589</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20</th>\n",
       "      <td>0.999667</td>\n",
       "      <td>0.562500</td>\n",
       "      <td>-0.268036</td>\n",
       "      <td>-1.020635</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>21</th>\n",
       "      <td>1.049633</td>\n",
       "      <td>0.540179</td>\n",
       "      <td>-0.468542</td>\n",
       "      <td>-4.465278</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>22</th>\n",
       "      <td>1.099711</td>\n",
       "      <td>0.515625</td>\n",
       "      <td>-0.669345</td>\n",
       "      <td>-2.806746</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23</th>\n",
       "      <td>1.149678</td>\n",
       "      <td>0.473214</td>\n",
       "      <td>-0.804107</td>\n",
       "      <td>-1.786111</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>24</th>\n",
       "      <td>1.199644</td>\n",
       "      <td>0.435268</td>\n",
       "      <td>-0.804107</td>\n",
       "      <td>-0.766328</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25</th>\n",
       "      <td>1.249611</td>\n",
       "      <td>0.392857</td>\n",
       "      <td>-0.893453</td>\n",
       "      <td>-1.021770</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>26</th>\n",
       "      <td>1.299578</td>\n",
       "      <td>0.345982</td>\n",
       "      <td>-0.915789</td>\n",
       "      <td>2.682146</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>27</th>\n",
       "      <td>1.349544</td>\n",
       "      <td>0.301339</td>\n",
       "      <td>-0.647753</td>\n",
       "      <td>5.485913</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>28</th>\n",
       "      <td>1.399511</td>\n",
       "      <td>0.281250</td>\n",
       "      <td>-0.312361</td>\n",
       "      <td>3.317064</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>29</th>\n",
       "      <td>1.449589</td>\n",
       "      <td>0.270089</td>\n",
       "      <td>-0.312361</td>\n",
       "      <td>0.510317</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>30</th>\n",
       "      <td>1.499556</td>\n",
       "      <td>0.250000</td>\n",
       "      <td>-0.312709</td>\n",
       "      <td>-0.255159</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>31</th>\n",
       "      <td>1.549522</td>\n",
       "      <td>0.238839</td>\n",
       "      <td>-0.290372</td>\n",
       "      <td>0.127721</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>32</th>\n",
       "      <td>1.599489</td>\n",
       "      <td>0.220982</td>\n",
       "      <td>-0.335045</td>\n",
       "      <td>-2.682146</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>33</th>\n",
       "      <td>1.649456</td>\n",
       "      <td>0.205357</td>\n",
       "      <td>-0.513735</td>\n",
       "      <td>-0.127721</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>34</th>\n",
       "      <td>1.699422</td>\n",
       "      <td>0.169643</td>\n",
       "      <td>-0.446726</td>\n",
       "      <td>2.296429</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>35</th>\n",
       "      <td>1.749389</td>\n",
       "      <td>0.160714</td>\n",
       "      <td>-0.178492</td>\n",
       "      <td>1.020635</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>36</th>\n",
       "      <td>1.799467</td>\n",
       "      <td>0.151786</td>\n",
       "      <td>-0.356984</td>\n",
       "      <td>-2.806746</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>37</th>\n",
       "      <td>1.849433</td>\n",
       "      <td>0.125000</td>\n",
       "      <td>-0.513735</td>\n",
       "      <td>-2.679167</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>38</th>\n",
       "      <td>1.899400</td>\n",
       "      <td>0.100446</td>\n",
       "      <td>-0.580744</td>\n",
       "      <td>-1.532655</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>39</th>\n",
       "      <td>1.949367</td>\n",
       "      <td>0.066964</td>\n",
       "      <td>-0.692426</td>\n",
       "      <td>-0.894049</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>40</th>\n",
       "      <td>1.999333</td>\n",
       "      <td>0.031250</td>\n",
       "      <td>-0.670090</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>41</th>\n",
       "      <td>2.049300</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "        t(s)      y(m)  v_y(m/s)  a_y(m/s^2)\n",
       "0   0.000000  0.995536  0.000000    0.000000\n",
       "1   0.049967  0.973214 -0.379717    0.000000\n",
       "2   0.099933  0.957589 -0.312361    1.530952\n",
       "3   0.150011  0.941964 -0.245427   -0.127579\n",
       "4   0.199978  0.933036 -0.290372   -1.403373\n",
       "5   0.249944  0.912946 -0.424390   -1.660376\n",
       "6   0.299911  0.890625 -0.446726    0.255443\n",
       "7   0.349878  0.868304 -0.402054   -0.255443\n",
       "8   0.399844  0.850446 -0.446726   -0.510317\n",
       "9   0.449811  0.823661 -0.490853   -0.255159\n",
       "10  0.499889  0.801339 -0.446230    0.765476\n",
       "11  0.549856  0.779018 -0.424390    1.148214\n",
       "12  0.599822  0.758929 -0.335045    0.894049\n",
       "13  0.649789  0.745536 -0.312709   -1.530952\n",
       "14  0.699756  0.727679 -0.490853   -3.061905\n",
       "15  0.749833  0.696429 -0.647034   -1.913691\n",
       "16  0.799800  0.662946 -0.670090   -0.765476\n",
       "17  0.849767  0.629464 -0.714762    0.766328\n",
       "18  0.899733  0.591518 -0.625417    4.087080\n",
       "19  0.949700  0.566964 -0.290372    2.937589\n",
       "20  0.999667  0.562500 -0.268036   -1.020635\n",
       "21  1.049633  0.540179 -0.468542   -4.465278\n",
       "22  1.099711  0.515625 -0.669345   -2.806746\n",
       "23  1.149678  0.473214 -0.804107   -1.786111\n",
       "24  1.199644  0.435268 -0.804107   -0.766328\n",
       "25  1.249611  0.392857 -0.893453   -1.021770\n",
       "26  1.299578  0.345982 -0.915789    2.682146\n",
       "27  1.349544  0.301339 -0.647753    5.485913\n",
       "28  1.399511  0.281250 -0.312361    3.317064\n",
       "29  1.449589  0.270089 -0.312361    0.510317\n",
       "30  1.499556  0.250000 -0.312709   -0.255159\n",
       "31  1.549522  0.238839 -0.290372    0.127721\n",
       "32  1.599489  0.220982 -0.335045   -2.682146\n",
       "33  1.649456  0.205357 -0.513735   -0.127721\n",
       "34  1.699422  0.169643 -0.446726    2.296429\n",
       "35  1.749389  0.160714 -0.178492    1.020635\n",
       "36  1.799467  0.151786 -0.356984   -2.806746\n",
       "37  1.849433  0.125000 -0.513735   -2.679167\n",
       "38  1.899400  0.100446 -0.580744   -1.532655\n",
       "39  1.949367  0.066964 -0.692426   -0.894049\n",
       "40  1.999333  0.031250 -0.670090    0.000000\n",
       "41  2.049300  0.000000  0.000000    0.000000"
      ]
     },
     "execution_count": 37,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "datos15"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "id": "f4e233df-1032-4759-ac4f-e3af9a550ce7",
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>t(s)</th>\n",
       "      <th>y(m)</th>\n",
       "      <th>v_y(m/s)</th>\n",
       "      <th>a_y(m/s^2)</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.004762</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>0.049967</td>\n",
       "      <td>0.995238</td>\n",
       "      <td>-0.238254</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0.099933</td>\n",
       "      <td>0.980952</td>\n",
       "      <td>-0.190603</td>\n",
       "      <td>0.272472</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>0.149900</td>\n",
       "      <td>0.976190</td>\n",
       "      <td>-0.166778</td>\n",
       "      <td>-0.408708</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>0.199867</td>\n",
       "      <td>0.964286</td>\n",
       "      <td>-0.262080</td>\n",
       "      <td>-2.043540</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>0.249833</td>\n",
       "      <td>0.950000</td>\n",
       "      <td>-0.357381</td>\n",
       "      <td>-1.496931</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>0.299800</td>\n",
       "      <td>0.928571</td>\n",
       "      <td>-0.428381</td>\n",
       "      <td>-0.544339</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>0.349878</td>\n",
       "      <td>0.907143</td>\n",
       "      <td>-0.404582</td>\n",
       "      <td>-0.408254</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>0.399844</td>\n",
       "      <td>0.888095</td>\n",
       "      <td>-0.452683</td>\n",
       "      <td>0.136085</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>0.449811</td>\n",
       "      <td>0.861905</td>\n",
       "      <td>-0.428857</td>\n",
       "      <td>0.272472</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>0.499778</td>\n",
       "      <td>0.845238</td>\n",
       "      <td>-0.381207</td>\n",
       "      <td>1.905185</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>0.549744</td>\n",
       "      <td>0.823809</td>\n",
       "      <td>-0.285587</td>\n",
       "      <td>0.544339</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>0.599822</td>\n",
       "      <td>0.816667</td>\n",
       "      <td>-0.261788</td>\n",
       "      <td>-0.952593</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>0.649789</td>\n",
       "      <td>0.797619</td>\n",
       "      <td>-0.428857</td>\n",
       "      <td>-2.449524</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>0.699756</td>\n",
       "      <td>0.773810</td>\n",
       "      <td>-0.500334</td>\n",
       "      <td>-0.953652</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>0.749722</td>\n",
       "      <td>0.747619</td>\n",
       "      <td>-0.524159</td>\n",
       "      <td>-1.907304</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>0.799689</td>\n",
       "      <td>0.721429</td>\n",
       "      <td>-0.667111</td>\n",
       "      <td>-2.179776</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>0.849656</td>\n",
       "      <td>0.680952</td>\n",
       "      <td>-0.786238</td>\n",
       "      <td>-0.136085</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>0.899622</td>\n",
       "      <td>0.642857</td>\n",
       "      <td>-0.666370</td>\n",
       "      <td>1.633016</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>0.949700</td>\n",
       "      <td>0.614286</td>\n",
       "      <td>-0.594974</td>\n",
       "      <td>-1.224762</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20</th>\n",
       "      <td>0.999667</td>\n",
       "      <td>0.583333</td>\n",
       "      <td>-0.786238</td>\n",
       "      <td>-4.490794</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>21</th>\n",
       "      <td>1.049633</td>\n",
       "      <td>0.535714</td>\n",
       "      <td>-1.072143</td>\n",
       "      <td>-2.316012</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>22</th>\n",
       "      <td>1.099600</td>\n",
       "      <td>0.476191</td>\n",
       "      <td>-1.048318</td>\n",
       "      <td>1.634832</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23</th>\n",
       "      <td>1.149567</td>\n",
       "      <td>0.430952</td>\n",
       "      <td>-0.857715</td>\n",
       "      <td>4.087080</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>24</th>\n",
       "      <td>1.199533</td>\n",
       "      <td>0.390476</td>\n",
       "      <td>-0.667111</td>\n",
       "      <td>1.360847</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25</th>\n",
       "      <td>1.249500</td>\n",
       "      <td>0.364286</td>\n",
       "      <td>-0.666370</td>\n",
       "      <td>-0.816508</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>26</th>\n",
       "      <td>1.299578</td>\n",
       "      <td>0.323809</td>\n",
       "      <td>-0.809164</td>\n",
       "      <td>-1.905185</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>27</th>\n",
       "      <td>1.349544</td>\n",
       "      <td>0.283333</td>\n",
       "      <td>-0.833889</td>\n",
       "      <td>-0.408254</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>28</th>\n",
       "      <td>1.399511</td>\n",
       "      <td>0.240476</td>\n",
       "      <td>-0.857715</td>\n",
       "      <td>-1.089888</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>29</th>\n",
       "      <td>1.449478</td>\n",
       "      <td>0.197619</td>\n",
       "      <td>-0.929191</td>\n",
       "      <td>2.316012</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>30</th>\n",
       "      <td>1.499444</td>\n",
       "      <td>0.147619</td>\n",
       "      <td>-0.690937</td>\n",
       "      <td>6.123810</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>31</th>\n",
       "      <td>1.549411</td>\n",
       "      <td>0.128571</td>\n",
       "      <td>-0.237989</td>\n",
       "      <td>6.259894</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>32</th>\n",
       "      <td>1.599489</td>\n",
       "      <td>0.123810</td>\n",
       "      <td>-0.071397</td>\n",
       "      <td>2.313439</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>33</th>\n",
       "      <td>1.649456</td>\n",
       "      <td>0.121429</td>\n",
       "      <td>-0.023825</td>\n",
       "      <td>-1.224762</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>34</th>\n",
       "      <td>1.699422</td>\n",
       "      <td>0.121429</td>\n",
       "      <td>-0.166778</td>\n",
       "      <td>-4.495788</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>35</th>\n",
       "      <td>1.749389</td>\n",
       "      <td>0.104762</td>\n",
       "      <td>-0.500334</td>\n",
       "      <td>-3.950844</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>36</th>\n",
       "      <td>1.799356</td>\n",
       "      <td>0.071429</td>\n",
       "      <td>-0.595635</td>\n",
       "      <td>0.680423</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>37</th>\n",
       "      <td>1.849322</td>\n",
       "      <td>0.045238</td>\n",
       "      <td>-0.404582</td>\n",
       "      <td>0.952593</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>38</th>\n",
       "      <td>1.899400</td>\n",
       "      <td>0.030952</td>\n",
       "      <td>-0.452180</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>39</th>\n",
       "      <td>1.949367</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "        t(s)      y(m)  v_y(m/s)  a_y(m/s^2)\n",
       "0   0.000000  1.004762  0.000000    0.000000\n",
       "1   0.049967  0.995238 -0.238254    0.000000\n",
       "2   0.099933  0.980952 -0.190603    0.272472\n",
       "3   0.149900  0.976190 -0.166778   -0.408708\n",
       "4   0.199867  0.964286 -0.262080   -2.043540\n",
       "5   0.249833  0.950000 -0.357381   -1.496931\n",
       "6   0.299800  0.928571 -0.428381   -0.544339\n",
       "7   0.349878  0.907143 -0.404582   -0.408254\n",
       "8   0.399844  0.888095 -0.452683    0.136085\n",
       "9   0.449811  0.861905 -0.428857    0.272472\n",
       "10  0.499778  0.845238 -0.381207    1.905185\n",
       "11  0.549744  0.823809 -0.285587    0.544339\n",
       "12  0.599822  0.816667 -0.261788   -0.952593\n",
       "13  0.649789  0.797619 -0.428857   -2.449524\n",
       "14  0.699756  0.773810 -0.500334   -0.953652\n",
       "15  0.749722  0.747619 -0.524159   -1.907304\n",
       "16  0.799689  0.721429 -0.667111   -2.179776\n",
       "17  0.849656  0.680952 -0.786238   -0.136085\n",
       "18  0.899622  0.642857 -0.666370    1.633016\n",
       "19  0.949700  0.614286 -0.594974   -1.224762\n",
       "20  0.999667  0.583333 -0.786238   -4.490794\n",
       "21  1.049633  0.535714 -1.072143   -2.316012\n",
       "22  1.099600  0.476191 -1.048318    1.634832\n",
       "23  1.149567  0.430952 -0.857715    4.087080\n",
       "24  1.199533  0.390476 -0.667111    1.360847\n",
       "25  1.249500  0.364286 -0.666370   -0.816508\n",
       "26  1.299578  0.323809 -0.809164   -1.905185\n",
       "27  1.349544  0.283333 -0.833889   -0.408254\n",
       "28  1.399511  0.240476 -0.857715   -1.089888\n",
       "29  1.449478  0.197619 -0.929191    2.316012\n",
       "30  1.499444  0.147619 -0.690937    6.123810\n",
       "31  1.549411  0.128571 -0.237989    6.259894\n",
       "32  1.599489  0.123810 -0.071397    2.313439\n",
       "33  1.649456  0.121429 -0.023825   -1.224762\n",
       "34  1.699422  0.121429 -0.166778   -4.495788\n",
       "35  1.749389  0.104762 -0.500334   -3.950844\n",
       "36  1.799356  0.071429 -0.595635    0.680423\n",
       "37  1.849322  0.045238 -0.404582    0.952593\n",
       "38  1.899400  0.030952 -0.452180    0.000000\n",
       "39  1.949367  0.000000  0.000000    0.000000"
      ]
     },
     "execution_count": 38,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "datos16"
   ]
  },
  {
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   "execution_count": 39,
   "id": "e7bfa2a6-d726-46d9-8dea-52ba1fcc4ae3",
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "      <th></th>\n",
       "      <th>t(s)</th>\n",
       "      <th>y(m)</th>\n",
       "      <th>v_y(m/s)</th>\n",
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       "  <tbody>\n",
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       "      <th>0</th>\n",
       "      <td>0.000000</td>\n",
       "      <td>9.975669e-01</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>0.050078</td>\n",
       "      <td>9.854015e-01</td>\n",
       "      <td>-0.340481</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0.100044</td>\n",
       "      <td>9.635036e-01</td>\n",
       "      <td>-0.438248</td>\n",
       "      <td>-0.278129</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>0.150011</td>\n",
       "      <td>9.416058e-01</td>\n",
       "      <td>-0.365207</td>\n",
       "      <td>0.417658</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>0.199978</td>\n",
       "      <td>9.270073e-01</td>\n",
       "      <td>-0.365207</td>\n",
       "      <td>-0.695323</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>0.249944</td>\n",
       "      <td>9.051095e-01</td>\n",
       "      <td>-0.462082</td>\n",
       "      <td>-0.695323</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>0.300022</td>\n",
       "      <td>8.807786e-01</td>\n",
       "      <td>-0.437762</td>\n",
       "      <td>-0.556258</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>0.349989</td>\n",
       "      <td>8.613139e-01</td>\n",
       "      <td>-0.486943</td>\n",
       "      <td>-2.781292</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>0.399956</td>\n",
       "      <td>8.321168e-01</td>\n",
       "      <td>-0.730414</td>\n",
       "      <td>-5.011894</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>0.449922</td>\n",
       "      <td>7.883212e-01</td>\n",
       "      <td>-0.998232</td>\n",
       "      <td>-5.429552</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>0.499889</td>\n",
       "      <td>7.323601e-01</td>\n",
       "      <td>-1.266051</td>\n",
       "      <td>-3.341263</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>0.549856</td>\n",
       "      <td>6.618005e-01</td>\n",
       "      <td>-1.363439</td>\n",
       "      <td>0.278129</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>0.599822</td>\n",
       "      <td>5.961071e-01</td>\n",
       "      <td>-1.216005</td>\n",
       "      <td>4.450068</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>0.649900</td>\n",
       "      <td>5.401460e-01</td>\n",
       "      <td>-0.924164</td>\n",
       "      <td>6.396972</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>0.699867</td>\n",
       "      <td>5.036496e-01</td>\n",
       "      <td>-0.559984</td>\n",
       "      <td>6.257908</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>0.749833</td>\n",
       "      <td>4.841849e-01</td>\n",
       "      <td>-0.292166</td>\n",
       "      <td>1.392193</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>0.799800</td>\n",
       "      <td>4.744526e-01</td>\n",
       "      <td>-0.389554</td>\n",
       "      <td>-1.670631</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>0.849767</td>\n",
       "      <td>4.452555e-01</td>\n",
       "      <td>-0.535637</td>\n",
       "      <td>-2.784386</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>0.899733</td>\n",
       "      <td>4.209246e-01</td>\n",
       "      <td>-0.608678</td>\n",
       "      <td>-1.251582</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>0.949700</td>\n",
       "      <td>3.844282e-01</td>\n",
       "      <td>-0.705283</td>\n",
       "      <td>-0.973452</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20</th>\n",
       "      <td>0.999778</td>\n",
       "      <td>3.503650e-01</td>\n",
       "      <td>-0.680963</td>\n",
       "      <td>2.225034</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>21</th>\n",
       "      <td>1.049744</td>\n",
       "      <td>3.163017e-01</td>\n",
       "      <td>-0.511290</td>\n",
       "      <td>2.364098</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>22</th>\n",
       "      <td>1.099711</td>\n",
       "      <td>2.992701e-01</td>\n",
       "      <td>-0.389554</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23</th>\n",
       "      <td>1.149678</td>\n",
       "      <td>2.773723e-01</td>\n",
       "      <td>-0.535637</td>\n",
       "      <td>-4.455017</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>24</th>\n",
       "      <td>1.199644</td>\n",
       "      <td>2.457421e-01</td>\n",
       "      <td>-0.827802</td>\n",
       "      <td>-0.835316</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25</th>\n",
       "      <td>1.249611</td>\n",
       "      <td>1.946472e-01</td>\n",
       "      <td>-0.706067</td>\n",
       "      <td>2.920357</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>26</th>\n",
       "      <td>1.299578</td>\n",
       "      <td>1.751825e-01</td>\n",
       "      <td>-0.413442</td>\n",
       "      <td>4.032874</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>27</th>\n",
       "      <td>1.349656</td>\n",
       "      <td>1.532847e-01</td>\n",
       "      <td>-0.364801</td>\n",
       "      <td>0.417194</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>28</th>\n",
       "      <td>1.399622</td>\n",
       "      <td>1.386861e-01</td>\n",
       "      <td>-0.340860</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>29</th>\n",
       "      <td>1.449589</td>\n",
       "      <td>1.192214e-01</td>\n",
       "      <td>-0.389554</td>\n",
       "      <td>0.556877</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>30</th>\n",
       "      <td>1.499556</td>\n",
       "      <td>9.975669e-02</td>\n",
       "      <td>-0.292166</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>31</th>\n",
       "      <td>1.549522</td>\n",
       "      <td>9.002433e-02</td>\n",
       "      <td>-0.340860</td>\n",
       "      <td>-1.113754</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>32</th>\n",
       "      <td>1.599489</td>\n",
       "      <td>6.569343e-02</td>\n",
       "      <td>-0.462595</td>\n",
       "      <td>-0.417194</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>33</th>\n",
       "      <td>1.649456</td>\n",
       "      <td>4.379562e-02</td>\n",
       "      <td>-0.364801</td>\n",
       "      <td>-0.139065</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>34</th>\n",
       "      <td>1.699533</td>\n",
       "      <td>2.919708e-02</td>\n",
       "      <td>-0.437762</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>35</th>\n",
       "      <td>1.749500</td>\n",
       "      <td>2.220446e-16</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "        t(s)          y(m)  v_y(m/s)  a_y(m/s^2)\n",
       "0   0.000000  9.975669e-01  0.000000    0.000000\n",
       "1   0.050078  9.854015e-01 -0.340481    0.000000\n",
       "2   0.100044  9.635036e-01 -0.438248   -0.278129\n",
       "3   0.150011  9.416058e-01 -0.365207    0.417658\n",
       "4   0.199978  9.270073e-01 -0.365207   -0.695323\n",
       "5   0.249944  9.051095e-01 -0.462082   -0.695323\n",
       "6   0.300022  8.807786e-01 -0.437762   -0.556258\n",
       "7   0.349989  8.613139e-01 -0.486943   -2.781292\n",
       "8   0.399956  8.321168e-01 -0.730414   -5.011894\n",
       "9   0.449922  7.883212e-01 -0.998232   -5.429552\n",
       "10  0.499889  7.323601e-01 -1.266051   -3.341263\n",
       "11  0.549856  6.618005e-01 -1.363439    0.278129\n",
       "12  0.599822  5.961071e-01 -1.216005    4.450068\n",
       "13  0.649900  5.401460e-01 -0.924164    6.396972\n",
       "14  0.699867  5.036496e-01 -0.559984    6.257908\n",
       "15  0.749833  4.841849e-01 -0.292166    1.392193\n",
       "16  0.799800  4.744526e-01 -0.389554   -1.670631\n",
       "17  0.849767  4.452555e-01 -0.535637   -2.784386\n",
       "18  0.899733  4.209246e-01 -0.608678   -1.251582\n",
       "19  0.949700  3.844282e-01 -0.705283   -0.973452\n",
       "20  0.999778  3.503650e-01 -0.680963    2.225034\n",
       "21  1.049744  3.163017e-01 -0.511290    2.364098\n",
       "22  1.099711  2.992701e-01 -0.389554    0.000000\n",
       "23  1.149678  2.773723e-01 -0.535637   -4.455017\n",
       "24  1.199644  2.457421e-01 -0.827802   -0.835316\n",
       "25  1.249611  1.946472e-01 -0.706067    2.920357\n",
       "26  1.299578  1.751825e-01 -0.413442    4.032874\n",
       "27  1.349656  1.532847e-01 -0.364801    0.417194\n",
       "28  1.399622  1.386861e-01 -0.340860    0.000000\n",
       "29  1.449589  1.192214e-01 -0.389554    0.556877\n",
       "30  1.499556  9.975669e-02 -0.292166    0.000000\n",
       "31  1.549522  9.002433e-02 -0.340860   -1.113754\n",
       "32  1.599489  6.569343e-02 -0.462595   -0.417194\n",
       "33  1.649456  4.379562e-02 -0.364801   -0.139065\n",
       "34  1.699533  2.919708e-02 -0.437762    0.000000\n",
       "35  1.749500  2.220446e-16  0.000000    0.000000"
      ]
     },
     "execution_count": 39,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "datos17"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "id": "7207cb76-c393-4d02-8282-bf2e521d3dde",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
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       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>t(s)</th>\n",
       "      <th>y(m)</th>\n",
       "      <th>v_y(m/s)</th>\n",
       "      <th>a_y(m/s^2)</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.988345</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>0.049967</td>\n",
       "      <td>0.979021</td>\n",
       "      <td>-0.209930</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0.099933</td>\n",
       "      <td>0.967366</td>\n",
       "      <td>-0.326558</td>\n",
       "      <td>-0.533512</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>0.149900</td>\n",
       "      <td>0.946387</td>\n",
       "      <td>-0.303233</td>\n",
       "      <td>0.133378</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>0.199867</td>\n",
       "      <td>0.937063</td>\n",
       "      <td>-0.256581</td>\n",
       "      <td>-0.400134</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>0.249833</td>\n",
       "      <td>0.920746</td>\n",
       "      <td>-0.373209</td>\n",
       "      <td>-1.065838</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>0.299800</td>\n",
       "      <td>0.899767</td>\n",
       "      <td>-0.372795</td>\n",
       "      <td>-0.266460</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>0.349878</td>\n",
       "      <td>0.883450</td>\n",
       "      <td>-0.372795</td>\n",
       "      <td>-0.532919</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>0.399844</td>\n",
       "      <td>0.862471</td>\n",
       "      <td>-0.443186</td>\n",
       "      <td>-0.666149</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>0.449811</td>\n",
       "      <td>0.839161</td>\n",
       "      <td>-0.443186</td>\n",
       "      <td>0.666890</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>0.499778</td>\n",
       "      <td>0.818182</td>\n",
       "      <td>-0.373209</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>0.549744</td>\n",
       "      <td>0.801865</td>\n",
       "      <td>-0.419394</td>\n",
       "      <td>-0.532919</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>0.599822</td>\n",
       "      <td>0.776224</td>\n",
       "      <td>-0.465993</td>\n",
       "      <td>-1.865216</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>0.649789</td>\n",
       "      <td>0.755245</td>\n",
       "      <td>-0.559814</td>\n",
       "      <td>-1.065838</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>0.699756</td>\n",
       "      <td>0.720280</td>\n",
       "      <td>-0.629791</td>\n",
       "      <td>-0.933645</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>0.749722</td>\n",
       "      <td>0.692308</td>\n",
       "      <td>-0.606465</td>\n",
       "      <td>1.600535</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>0.799689</td>\n",
       "      <td>0.659674</td>\n",
       "      <td>-0.513163</td>\n",
       "      <td>1.600535</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>0.849656</td>\n",
       "      <td>0.641026</td>\n",
       "      <td>-0.396535</td>\n",
       "      <td>1.465527</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>0.899622</td>\n",
       "      <td>0.620047</td>\n",
       "      <td>-0.396094</td>\n",
       "      <td>0.666149</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>0.949700</td>\n",
       "      <td>0.601399</td>\n",
       "      <td>-0.326195</td>\n",
       "      <td>0.532919</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20</th>\n",
       "      <td>0.999667</td>\n",
       "      <td>0.587413</td>\n",
       "      <td>-0.326558</td>\n",
       "      <td>-0.266460</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>21</th>\n",
       "      <td>1.049633</td>\n",
       "      <td>0.568765</td>\n",
       "      <td>-0.373209</td>\n",
       "      <td>-0.533512</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>22</th>\n",
       "      <td>1.099600</td>\n",
       "      <td>0.550117</td>\n",
       "      <td>-0.373209</td>\n",
       "      <td>-0.800268</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23</th>\n",
       "      <td>1.149567</td>\n",
       "      <td>0.531469</td>\n",
       "      <td>-0.443186</td>\n",
       "      <td>-1.733913</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>24</th>\n",
       "      <td>1.199533</td>\n",
       "      <td>0.505827</td>\n",
       "      <td>-0.559814</td>\n",
       "      <td>-3.730433</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25</th>\n",
       "      <td>1.249500</td>\n",
       "      <td>0.475525</td>\n",
       "      <td>-0.792189</td>\n",
       "      <td>-1.065838</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>26</th>\n",
       "      <td>1.299578</td>\n",
       "      <td>0.426573</td>\n",
       "      <td>-0.745589</td>\n",
       "      <td>3.730433</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>27</th>\n",
       "      <td>1.349544</td>\n",
       "      <td>0.400932</td>\n",
       "      <td>-0.349884</td>\n",
       "      <td>5.462419</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>28</th>\n",
       "      <td>1.399511</td>\n",
       "      <td>0.391608</td>\n",
       "      <td>-0.186605</td>\n",
       "      <td>1.333779</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>29</th>\n",
       "      <td>1.449478</td>\n",
       "      <td>0.382284</td>\n",
       "      <td>-0.233256</td>\n",
       "      <td>0.533512</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>30</th>\n",
       "      <td>1.499444</td>\n",
       "      <td>0.368298</td>\n",
       "      <td>-0.163279</td>\n",
       "      <td>-2.531365</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>31</th>\n",
       "      <td>1.549411</td>\n",
       "      <td>0.365967</td>\n",
       "      <td>-0.396094</td>\n",
       "      <td>-4.663041</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>32</th>\n",
       "      <td>1.599489</td>\n",
       "      <td>0.328671</td>\n",
       "      <td>-0.745589</td>\n",
       "      <td>-6.927946</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>33</th>\n",
       "      <td>1.649456</td>\n",
       "      <td>0.291375</td>\n",
       "      <td>-1.003000</td>\n",
       "      <td>-3.597203</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>34</th>\n",
       "      <td>1.699422</td>\n",
       "      <td>0.228438</td>\n",
       "      <td>-1.189604</td>\n",
       "      <td>-2.534180</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>35</th>\n",
       "      <td>1.749389</td>\n",
       "      <td>0.172494</td>\n",
       "      <td>-1.189604</td>\n",
       "      <td>1.200401</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>36</th>\n",
       "      <td>1.799356</td>\n",
       "      <td>0.109557</td>\n",
       "      <td>-1.119628</td>\n",
       "      <td>2.131676</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>37</th>\n",
       "      <td>1.849322</td>\n",
       "      <td>0.060606</td>\n",
       "      <td>-0.931987</td>\n",
       "      <td>6.927946</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>38</th>\n",
       "      <td>1.899400</td>\n",
       "      <td>0.016317</td>\n",
       "      <td>-0.489293</td>\n",
       "      <td>6.528257</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>39</th>\n",
       "      <td>1.949367</td>\n",
       "      <td>0.011655</td>\n",
       "      <td>-0.163279</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>40</th>\n",
       "      <td>1.999333</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
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       "        t(s)      y(m)  v_y(m/s)  a_y(m/s^2)\n",
       "0   0.000000  0.988345  0.000000    0.000000\n",
       "1   0.049967  0.979021 -0.209930    0.000000\n",
       "2   0.099933  0.967366 -0.326558   -0.533512\n",
       "3   0.149900  0.946387 -0.303233    0.133378\n",
       "4   0.199867  0.937063 -0.256581   -0.400134\n",
       "5   0.249833  0.920746 -0.373209   -1.065838\n",
       "6   0.299800  0.899767 -0.372795   -0.266460\n",
       "7   0.349878  0.883450 -0.372795   -0.532919\n",
       "8   0.399844  0.862471 -0.443186   -0.666149\n",
       "9   0.449811  0.839161 -0.443186    0.666890\n",
       "10  0.499778  0.818182 -0.373209    0.000000\n",
       "11  0.549744  0.801865 -0.419394   -0.532919\n",
       "12  0.599822  0.776224 -0.465993   -1.865216\n",
       "13  0.649789  0.755245 -0.559814   -1.065838\n",
       "14  0.699756  0.720280 -0.629791   -0.933645\n",
       "15  0.749722  0.692308 -0.606465    1.600535\n",
       "16  0.799689  0.659674 -0.513163    1.600535\n",
       "17  0.849656  0.641026 -0.396535    1.465527\n",
       "18  0.899622  0.620047 -0.396094    0.666149\n",
       "19  0.949700  0.601399 -0.326195    0.532919\n",
       "20  0.999667  0.587413 -0.326558   -0.266460\n",
       "21  1.049633  0.568765 -0.373209   -0.533512\n",
       "22  1.099600  0.550117 -0.373209   -0.800268\n",
       "23  1.149567  0.531469 -0.443186   -1.733913\n",
       "24  1.199533  0.505827 -0.559814   -3.730433\n",
       "25  1.249500  0.475525 -0.792189   -1.065838\n",
       "26  1.299578  0.426573 -0.745589    3.730433\n",
       "27  1.349544  0.400932 -0.349884    5.462419\n",
       "28  1.399511  0.391608 -0.186605    1.333779\n",
       "29  1.449478  0.382284 -0.233256    0.533512\n",
       "30  1.499444  0.368298 -0.163279   -2.531365\n",
       "31  1.549411  0.365967 -0.396094   -4.663041\n",
       "32  1.599489  0.328671 -0.745589   -6.927946\n",
       "33  1.649456  0.291375 -1.003000   -3.597203\n",
       "34  1.699422  0.228438 -1.189604   -2.534180\n",
       "35  1.749389  0.172494 -1.189604    1.200401\n",
       "36  1.799356  0.109557 -1.119628    2.131676\n",
       "37  1.849322  0.060606 -0.931987    6.927946\n",
       "38  1.899400  0.016317 -0.489293    6.528257\n",
       "39  1.949367  0.011655 -0.163279    0.000000\n",
       "40  1.999333  0.000000  0.000000    0.000000"
      ]
     },
     "execution_count": 40,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "datos18"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "id": "89780e11-ce95-4e91-962a-4ad9b0eb0abc",
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   "outputs": [
    {
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       "      <th></th>\n",
       "      <th>t(s)</th>\n",
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       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
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       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>0.049967</td>\n",
       "      <td>0.985037</td>\n",
       "      <td>-0.224589</td>\n",
       "      <td>0.000000</td>\n",
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       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0.099933</td>\n",
       "      <td>0.977556</td>\n",
       "      <td>-0.224589</td>\n",
       "      <td>-0.713455</td>\n",
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       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>0.149900</td>\n",
       "      <td>0.962593</td>\n",
       "      <td>-0.324406</td>\n",
       "      <td>-2.425748</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>0.199867</td>\n",
       "      <td>0.945137</td>\n",
       "      <td>-0.449177</td>\n",
       "      <td>-1.712293</td>\n",
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       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>0.249833</td>\n",
       "      <td>0.917706</td>\n",
       "      <td>-0.524040</td>\n",
       "      <td>-0.142533</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>0.299800</td>\n",
       "      <td>0.892768</td>\n",
       "      <td>-0.448678</td>\n",
       "      <td>1.140261</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>0.349878</td>\n",
       "      <td>0.872818</td>\n",
       "      <td>-0.398825</td>\n",
       "      <td>0.570130</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>0.399844</td>\n",
       "      <td>0.852868</td>\n",
       "      <td>-0.399269</td>\n",
       "      <td>0.285065</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>0.449811</td>\n",
       "      <td>0.832918</td>\n",
       "      <td>-0.374314</td>\n",
       "      <td>-1.569602</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>0.499778</td>\n",
       "      <td>0.815461</td>\n",
       "      <td>-0.524040</td>\n",
       "      <td>-1.569602</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>0.549744</td>\n",
       "      <td>0.780549</td>\n",
       "      <td>-0.598903</td>\n",
       "      <td>2.280521</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>0.599711</td>\n",
       "      <td>0.755611</td>\n",
       "      <td>-0.274192</td>\n",
       "      <td>2.993184</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>0.649789</td>\n",
       "      <td>0.753117</td>\n",
       "      <td>-0.224339</td>\n",
       "      <td>-0.997728</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>0.699756</td>\n",
       "      <td>0.733167</td>\n",
       "      <td>-0.449177</td>\n",
       "      <td>-2.850651</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>0.749722</td>\n",
       "      <td>0.708229</td>\n",
       "      <td>-0.499086</td>\n",
       "      <td>-1.712293</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>0.799689</td>\n",
       "      <td>0.683292</td>\n",
       "      <td>-0.598903</td>\n",
       "      <td>-5.136879</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>0.849656</td>\n",
       "      <td>0.648379</td>\n",
       "      <td>-0.998172</td>\n",
       "      <td>-5.131172</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>0.899622</td>\n",
       "      <td>0.583541</td>\n",
       "      <td>-1.196476</td>\n",
       "      <td>1.140261</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>0.949700</td>\n",
       "      <td>0.528678</td>\n",
       "      <td>-0.847504</td>\n",
       "      <td>6.271433</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20</th>\n",
       "      <td>0.999667</td>\n",
       "      <td>0.498753</td>\n",
       "      <td>-0.524040</td>\n",
       "      <td>5.273705</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>21</th>\n",
       "      <td>1.049633</td>\n",
       "      <td>0.476309</td>\n",
       "      <td>-0.349360</td>\n",
       "      <td>3.995350</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>22</th>\n",
       "      <td>1.099600</td>\n",
       "      <td>0.463840</td>\n",
       "      <td>-0.124771</td>\n",
       "      <td>0.428073</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23</th>\n",
       "      <td>1.149567</td>\n",
       "      <td>0.463840</td>\n",
       "      <td>-0.249543</td>\n",
       "      <td>-1.712293</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>24</th>\n",
       "      <td>1.199533</td>\n",
       "      <td>0.438903</td>\n",
       "      <td>-0.399269</td>\n",
       "      <td>-3.705847</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25</th>\n",
       "      <td>1.249500</td>\n",
       "      <td>0.423940</td>\n",
       "      <td>-0.523458</td>\n",
       "      <td>-1.567858</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>26</th>\n",
       "      <td>1.299578</td>\n",
       "      <td>0.386534</td>\n",
       "      <td>-0.648091</td>\n",
       "      <td>-2.850651</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>27</th>\n",
       "      <td>1.349544</td>\n",
       "      <td>0.359102</td>\n",
       "      <td>-0.723674</td>\n",
       "      <td>-1.282793</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>28</th>\n",
       "      <td>1.399511</td>\n",
       "      <td>0.314215</td>\n",
       "      <td>-0.848446</td>\n",
       "      <td>-0.856147</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>29</th>\n",
       "      <td>1.449478</td>\n",
       "      <td>0.274314</td>\n",
       "      <td>-0.773583</td>\n",
       "      <td>0.427598</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>30</th>\n",
       "      <td>1.499444</td>\n",
       "      <td>0.236908</td>\n",
       "      <td>-0.797651</td>\n",
       "      <td>-1.995456</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>31</th>\n",
       "      <td>1.549522</td>\n",
       "      <td>0.194514</td>\n",
       "      <td>-0.972136</td>\n",
       "      <td>-2.993184</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>32</th>\n",
       "      <td>1.599489</td>\n",
       "      <td>0.139651</td>\n",
       "      <td>-1.122943</td>\n",
       "      <td>1.282793</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>33</th>\n",
       "      <td>1.649456</td>\n",
       "      <td>0.082294</td>\n",
       "      <td>-0.873400</td>\n",
       "      <td>5.710295</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>34</th>\n",
       "      <td>1.699422</td>\n",
       "      <td>0.052369</td>\n",
       "      <td>-0.342002</td>\n",
       "      <td>5.237220</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>35</th>\n",
       "      <td>1.766122</td>\n",
       "      <td>0.042394</td>\n",
       "      <td>-0.112210</td>\n",
       "      <td>-0.418858</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>36</th>\n",
       "      <td>1.832767</td>\n",
       "      <td>0.037406</td>\n",
       "      <td>-0.363447</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>37</th>\n",
       "      <td>1.882767</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
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       "        t(s)      y(m)  v_y(m/s)  a_y(m/s^2)\n",
       "0   0.000000  1.000000  0.000000    0.000000\n",
       "1   0.049967  0.985037 -0.224589    0.000000\n",
       "2   0.099933  0.977556 -0.224589   -0.713455\n",
       "3   0.149900  0.962593 -0.324406   -2.425748\n",
       "4   0.199867  0.945137 -0.449177   -1.712293\n",
       "5   0.249833  0.917706 -0.524040   -0.142533\n",
       "6   0.299800  0.892768 -0.448678    1.140261\n",
       "7   0.349878  0.872818 -0.398825    0.570130\n",
       "8   0.399844  0.852868 -0.399269    0.285065\n",
       "9   0.449811  0.832918 -0.374314   -1.569602\n",
       "10  0.499778  0.815461 -0.524040   -1.569602\n",
       "11  0.549744  0.780549 -0.598903    2.280521\n",
       "12  0.599711  0.755611 -0.274192    2.993184\n",
       "13  0.649789  0.753117 -0.224339   -0.997728\n",
       "14  0.699756  0.733167 -0.449177   -2.850651\n",
       "15  0.749722  0.708229 -0.499086   -1.712293\n",
       "16  0.799689  0.683292 -0.598903   -5.136879\n",
       "17  0.849656  0.648379 -0.998172   -5.131172\n",
       "18  0.899622  0.583541 -1.196476    1.140261\n",
       "19  0.949700  0.528678 -0.847504    6.271433\n",
       "20  0.999667  0.498753 -0.524040    5.273705\n",
       "21  1.049633  0.476309 -0.349360    3.995350\n",
       "22  1.099600  0.463840 -0.124771    0.428073\n",
       "23  1.149567  0.463840 -0.249543   -1.712293\n",
       "24  1.199533  0.438903 -0.399269   -3.705847\n",
       "25  1.249500  0.423940 -0.523458   -1.567858\n",
       "26  1.299578  0.386534 -0.648091   -2.850651\n",
       "27  1.349544  0.359102 -0.723674   -1.282793\n",
       "28  1.399511  0.314215 -0.848446   -0.856147\n",
       "29  1.449478  0.274314 -0.773583    0.427598\n",
       "30  1.499444  0.236908 -0.797651   -1.995456\n",
       "31  1.549522  0.194514 -0.972136   -2.993184\n",
       "32  1.599489  0.139651 -1.122943    1.282793\n",
       "33  1.649456  0.082294 -0.873400    5.710295\n",
       "34  1.699422  0.052369 -0.342002    5.237220\n",
       "35  1.766122  0.042394 -0.112210   -0.418858\n",
       "36  1.832767  0.037406 -0.363447    0.000000\n",
       "37  1.882767  0.000000  0.000000    0.000000"
      ]
     },
     "execution_count": 46,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "datos19"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "id": "16004674-fbc6-4830-9203-435e1bf3d993",
   "metadata": {},
   "outputs": [
    {
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       "      <th>1</th>\n",
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       "      <th>4</th>\n",
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       "      <th>5</th>\n",
       "      <td>0.249944</td>\n",
       "      <td>0.959811</td>\n",
       "      <td>-0.189041</td>\n",
       "      <td>-1.351195e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>0.300022</td>\n",
       "      <td>0.947990</td>\n",
       "      <td>-0.283562</td>\n",
       "      <td>-2.432151e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>0.349989</td>\n",
       "      <td>0.931442</td>\n",
       "      <td>-0.425816</td>\n",
       "      <td>-8.107171e-01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>0.399956</td>\n",
       "      <td>0.905437</td>\n",
       "      <td>-0.402159</td>\n",
       "      <td>6.763490e-01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>0.449922</td>\n",
       "      <td>0.891253</td>\n",
       "      <td>-0.307534</td>\n",
       "      <td>6.763490e-01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>0.499889</td>\n",
       "      <td>0.874704</td>\n",
       "      <td>-0.354847</td>\n",
       "      <td>-9.468886e-01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>0.549856</td>\n",
       "      <td>0.855792</td>\n",
       "      <td>-0.402159</td>\n",
       "      <td>-6.755976e-01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>0.599822</td>\n",
       "      <td>0.834515</td>\n",
       "      <td>-0.425343</td>\n",
       "      <td>-1.621434e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>0.649900</td>\n",
       "      <td>0.813239</td>\n",
       "      <td>-0.543494</td>\n",
       "      <td>-6.755976e-01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>0.699867</td>\n",
       "      <td>0.780142</td>\n",
       "      <td>-0.544098</td>\n",
       "      <td>-9.458367e-01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>0.749833</td>\n",
       "      <td>0.758865</td>\n",
       "      <td>-0.567754</td>\n",
       "      <td>-1.352698e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>0.799800</td>\n",
       "      <td>0.723404</td>\n",
       "      <td>-0.733349</td>\n",
       "      <td>-1.487968e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>0.849767</td>\n",
       "      <td>0.685579</td>\n",
       "      <td>-0.709693</td>\n",
       "      <td>2.164317e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>0.899733</td>\n",
       "      <td>0.652482</td>\n",
       "      <td>-0.520442</td>\n",
       "      <td>3.242869e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>0.949700</td>\n",
       "      <td>0.633570</td>\n",
       "      <td>-0.354452</td>\n",
       "      <td>1.756554e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20</th>\n",
       "      <td>0.999778</td>\n",
       "      <td>0.617021</td>\n",
       "      <td>-0.354452</td>\n",
       "      <td>6.755976e-01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>21</th>\n",
       "      <td>1.049744</td>\n",
       "      <td>0.598109</td>\n",
       "      <td>-0.307534</td>\n",
       "      <td>-4.053586e-01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>22</th>\n",
       "      <td>1.099711</td>\n",
       "      <td>0.586288</td>\n",
       "      <td>-0.354847</td>\n",
       "      <td>-1.758507e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23</th>\n",
       "      <td>1.149678</td>\n",
       "      <td>0.562648</td>\n",
       "      <td>-0.520442</td>\n",
       "      <td>-3.246475e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>24</th>\n",
       "      <td>1.199644</td>\n",
       "      <td>0.534279</td>\n",
       "      <td>-0.662380</td>\n",
       "      <td>-5.404781e-01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25</th>\n",
       "      <td>1.249611</td>\n",
       "      <td>0.496454</td>\n",
       "      <td>-0.614384</td>\n",
       "      <td>2.702390e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>26</th>\n",
       "      <td>1.299689</td>\n",
       "      <td>0.472813</td>\n",
       "      <td>-0.354452</td>\n",
       "      <td>4.458944e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>27</th>\n",
       "      <td>1.349656</td>\n",
       "      <td>0.460993</td>\n",
       "      <td>-0.165595</td>\n",
       "      <td>1.756554e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>28</th>\n",
       "      <td>1.399622</td>\n",
       "      <td>0.456265</td>\n",
       "      <td>-0.165595</td>\n",
       "      <td>-2.029047e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>29</th>\n",
       "      <td>1.449589</td>\n",
       "      <td>0.444444</td>\n",
       "      <td>-0.378503</td>\n",
       "      <td>-2.705396e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>30</th>\n",
       "      <td>1.499556</td>\n",
       "      <td>0.418440</td>\n",
       "      <td>-0.473129</td>\n",
       "      <td>-1.621434e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>31</th>\n",
       "      <td>1.549522</td>\n",
       "      <td>0.397163</td>\n",
       "      <td>-0.496233</td>\n",
       "      <td>-1.486315e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>32</th>\n",
       "      <td>1.599600</td>\n",
       "      <td>0.368794</td>\n",
       "      <td>-0.638014</td>\n",
       "      <td>-2.837510e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>33</th>\n",
       "      <td>1.649567</td>\n",
       "      <td>0.333333</td>\n",
       "      <td>-0.780662</td>\n",
       "      <td>-6.755976e-01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>34</th>\n",
       "      <td>1.699533</td>\n",
       "      <td>0.290780</td>\n",
       "      <td>-0.733349</td>\n",
       "      <td>2.299587e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>35</th>\n",
       "      <td>1.749500</td>\n",
       "      <td>0.260047</td>\n",
       "      <td>-0.520442</td>\n",
       "      <td>1.893777e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>36</th>\n",
       "      <td>1.799467</td>\n",
       "      <td>0.238771</td>\n",
       "      <td>-0.520442</td>\n",
       "      <td>2.975936e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>37</th>\n",
       "      <td>1.849433</td>\n",
       "      <td>0.208038</td>\n",
       "      <td>-0.307534</td>\n",
       "      <td>1.487968e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>38</th>\n",
       "      <td>1.899400</td>\n",
       "      <td>0.208038</td>\n",
       "      <td>-0.236564</td>\n",
       "      <td>-2.972629e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>39</th>\n",
       "      <td>1.949367</td>\n",
       "      <td>0.184397</td>\n",
       "      <td>-0.685275</td>\n",
       "      <td>-4.999422e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>40</th>\n",
       "      <td>1.999444</td>\n",
       "      <td>0.139480</td>\n",
       "      <td>-0.779795</td>\n",
       "      <td>-2.567271e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>41</th>\n",
       "      <td>2.049411</td>\n",
       "      <td>0.106383</td>\n",
       "      <td>-0.851632</td>\n",
       "      <td>-5.404781e-01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>42</th>\n",
       "      <td>2.099378</td>\n",
       "      <td>0.054374</td>\n",
       "      <td>-0.922601</td>\n",
       "      <td>2.840666e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>43</th>\n",
       "      <td>2.149344</td>\n",
       "      <td>0.014184</td>\n",
       "      <td>-0.544098</td>\n",
       "      <td>0.000000e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>44</th>\n",
       "      <td>2.199311</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "        t(s)      y(m)  v_y(m/s)    a_y(m/s^2)\n",
       "0   0.000000  1.000000  0.000000  0.000000e+00\n",
       "1   0.050078  0.992908 -0.141781  0.000000e+00\n",
       "2   0.100044  0.985816 -0.189251 -2.702390e-01\n",
       "3   0.150011  0.973995 -0.189251  2.705396e-01\n",
       "4   0.199978  0.966903 -0.141939  1.531731e-14\n",
       "5   0.249944  0.959811 -0.189041 -1.351195e+00\n",
       "6   0.300022  0.947990 -0.283562 -2.432151e+00\n",
       "7   0.349989  0.931442 -0.425816 -8.107171e-01\n",
       "8   0.399956  0.905437 -0.402159  6.763490e-01\n",
       "9   0.449922  0.891253 -0.307534  6.763490e-01\n",
       "10  0.499889  0.874704 -0.354847 -9.468886e-01\n",
       "11  0.549856  0.855792 -0.402159 -6.755976e-01\n",
       "12  0.599822  0.834515 -0.425343 -1.621434e+00\n",
       "13  0.649900  0.813239 -0.543494 -6.755976e-01\n",
       "14  0.699867  0.780142 -0.544098 -9.458367e-01\n",
       "15  0.749833  0.758865 -0.567754 -1.352698e+00\n",
       "16  0.799800  0.723404 -0.733349 -1.487968e+00\n",
       "17  0.849767  0.685579 -0.709693  2.164317e+00\n",
       "18  0.899733  0.652482 -0.520442  3.242869e+00\n",
       "19  0.949700  0.633570 -0.354452  1.756554e+00\n",
       "20  0.999778  0.617021 -0.354452  6.755976e-01\n",
       "21  1.049744  0.598109 -0.307534 -4.053586e-01\n",
       "22  1.099711  0.586288 -0.354847 -1.758507e+00\n",
       "23  1.149678  0.562648 -0.520442 -3.246475e+00\n",
       "24  1.199644  0.534279 -0.662380 -5.404781e-01\n",
       "25  1.249611  0.496454 -0.614384  2.702390e+00\n",
       "26  1.299689  0.472813 -0.354452  4.458944e+00\n",
       "27  1.349656  0.460993 -0.165595  1.756554e+00\n",
       "28  1.399622  0.456265 -0.165595 -2.029047e+00\n",
       "29  1.449589  0.444444 -0.378503 -2.705396e+00\n",
       "30  1.499556  0.418440 -0.473129 -1.621434e+00\n",
       "31  1.549522  0.397163 -0.496233 -1.486315e+00\n",
       "32  1.599600  0.368794 -0.638014 -2.837510e+00\n",
       "33  1.649567  0.333333 -0.780662 -6.755976e-01\n",
       "34  1.699533  0.290780 -0.733349  2.299587e+00\n",
       "35  1.749500  0.260047 -0.520442  1.893777e+00\n",
       "36  1.799467  0.238771 -0.520442  2.975936e+00\n",
       "37  1.849433  0.208038 -0.307534  1.487968e+00\n",
       "38  1.899400  0.208038 -0.236564 -2.972629e+00\n",
       "39  1.949367  0.184397 -0.685275 -4.999422e+00\n",
       "40  1.999444  0.139480 -0.779795 -2.567271e+00\n",
       "41  2.049411  0.106383 -0.851632 -5.404781e-01\n",
       "42  2.099378  0.054374 -0.922601  2.840666e+00\n",
       "43  2.149344  0.014184 -0.544098  0.000000e+00\n",
       "44  2.199311  0.000000  0.000000  0.000000e+00"
      ]
     },
     "execution_count": 42,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "datos20"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 98,
   "id": "fb233235-e1d9-43ca-92a1-80ff0af0f9b9",
   "metadata": {},
   "outputs": [],
   "source": [
    "MediaDatosExperimentales = (datos11+datos12+datos13+datos14+datos15+datos16+datos17+datos18+datos19+datos20)/10\n",
    "MediaDatosExperimentales = MediaDatosExperimentales.iloc[:36]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 99,
   "id": "4bc9bca7-b351-4b32-9268-9f9d0728ffba",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
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       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>t(s)</th>\n",
       "      <th>y(m)</th>\n",
       "      <th>v_y(m/s)</th>\n",
       "      <th>a_y(m/s^2)</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.996397</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>0.049989</td>\n",
       "      <td>0.984260</td>\n",
       "      <td>-0.261201</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0.099967</td>\n",
       "      <td>0.970284</td>\n",
       "      <td>-0.291341</td>\n",
       "      <td>-0.210759</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>0.149944</td>\n",
       "      <td>0.955136</td>\n",
       "      <td>-0.285563</td>\n",
       "      <td>-0.271594</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>0.199911</td>\n",
       "      <td>0.941744</td>\n",
       "      <td>-0.306338</td>\n",
       "      <td>-0.897727</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>0.249889</td>\n",
       "      <td>0.924518</td>\n",
       "      <td>-0.383152</td>\n",
       "      <td>-1.118869</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>0.299889</td>\n",
       "      <td>0.903437</td>\n",
       "      <td>-0.423277</td>\n",
       "      <td>-0.660732</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>0.349900</td>\n",
       "      <td>0.882188</td>\n",
       "      <td>-0.441777</td>\n",
       "      <td>-0.505778</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>0.399878</td>\n",
       "      <td>0.859266</td>\n",
       "      <td>-0.476189</td>\n",
       "      <td>-0.410643</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>0.449844</td>\n",
       "      <td>0.834596</td>\n",
       "      <td>-0.486620</td>\n",
       "      <td>-0.705746</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>0.499822</td>\n",
       "      <td>0.810631</td>\n",
       "      <td>-0.534322</td>\n",
       "      <td>-0.637357</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>0.549800</td>\n",
       "      <td>0.781189</td>\n",
       "      <td>-0.569572</td>\n",
       "      <td>-0.316064</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>0.599800</td>\n",
       "      <td>0.753689</td>\n",
       "      <td>-0.551990</td>\n",
       "      <td>-0.139395</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>0.649800</td>\n",
       "      <td>0.725990</td>\n",
       "      <td>-0.582697</td>\n",
       "      <td>-0.129346</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>0.699789</td>\n",
       "      <td>0.695427</td>\n",
       "      <td>-0.577824</td>\n",
       "      <td>0.276410</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>0.749767</td>\n",
       "      <td>0.668228</td>\n",
       "      <td>-0.541942</td>\n",
       "      <td>0.289184</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>0.799733</td>\n",
       "      <td>0.641262</td>\n",
       "      <td>-0.551451</td>\n",
       "      <td>-0.463123</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>0.849711</td>\n",
       "      <td>0.613112</td>\n",
       "      <td>-0.588359</td>\n",
       "      <td>0.041256</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>0.899678</td>\n",
       "      <td>0.582459</td>\n",
       "      <td>-0.560203</td>\n",
       "      <td>0.938087</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>0.949678</td>\n",
       "      <td>0.557103</td>\n",
       "      <td>-0.479448</td>\n",
       "      <td>0.580063</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20</th>\n",
       "      <td>0.999689</td>\n",
       "      <td>0.534507</td>\n",
       "      <td>-0.495660</td>\n",
       "      <td>-0.213848</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>21</th>\n",
       "      <td>1.049655</td>\n",
       "      <td>0.507548</td>\n",
       "      <td>-0.520275</td>\n",
       "      <td>-0.465780</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>22</th>\n",
       "      <td>1.099644</td>\n",
       "      <td>0.482503</td>\n",
       "      <td>-0.526942</td>\n",
       "      <td>-0.388076</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23</th>\n",
       "      <td>1.149611</td>\n",
       "      <td>0.454873</td>\n",
       "      <td>-0.567239</td>\n",
       "      <td>-0.697265</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>24</th>\n",
       "      <td>1.199588</td>\n",
       "      <td>0.425812</td>\n",
       "      <td>-0.595202</td>\n",
       "      <td>-0.355830</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25</th>\n",
       "      <td>1.249556</td>\n",
       "      <td>0.395388</td>\n",
       "      <td>-0.604996</td>\n",
       "      <td>0.133559</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>26</th>\n",
       "      <td>1.299567</td>\n",
       "      <td>0.365323</td>\n",
       "      <td>-0.581352</td>\n",
       "      <td>0.738383</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>27</th>\n",
       "      <td>1.349568</td>\n",
       "      <td>0.337251</td>\n",
       "      <td>-0.530544</td>\n",
       "      <td>0.709335</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>28</th>\n",
       "      <td>1.399538</td>\n",
       "      <td>0.312288</td>\n",
       "      <td>-0.504008</td>\n",
       "      <td>-0.167453</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>29</th>\n",
       "      <td>1.449530</td>\n",
       "      <td>0.286874</td>\n",
       "      <td>-0.547469</td>\n",
       "      <td>0.216806</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>30</th>\n",
       "      <td>1.499511</td>\n",
       "      <td>0.257560</td>\n",
       "      <td>-0.504481</td>\n",
       "      <td>0.209500</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>31</th>\n",
       "      <td>1.549492</td>\n",
       "      <td>0.236440</td>\n",
       "      <td>-0.488061</td>\n",
       "      <td>-0.157956</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>32</th>\n",
       "      <td>1.599496</td>\n",
       "      <td>0.208759</td>\n",
       "      <td>-0.551042</td>\n",
       "      <td>-0.897100</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>33</th>\n",
       "      <td>1.649477</td>\n",
       "      <td>0.181348</td>\n",
       "      <td>-0.565455</td>\n",
       "      <td>-0.044550</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>34</th>\n",
       "      <td>1.699438</td>\n",
       "      <td>0.152245</td>\n",
       "      <td>-0.549273</td>\n",
       "      <td>0.307430</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>35</th>\n",
       "      <td>1.751089</td>\n",
       "      <td>0.125882</td>\n",
       "      <td>-0.460627</td>\n",
       "      <td>0.282953</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "        t(s)      y(m)  v_y(m/s)  a_y(m/s^2)\n",
       "0   0.000000  0.996397  0.000000    0.000000\n",
       "1   0.049989  0.984260 -0.261201    0.000000\n",
       "2   0.099967  0.970284 -0.291341   -0.210759\n",
       "3   0.149944  0.955136 -0.285563   -0.271594\n",
       "4   0.199911  0.941744 -0.306338   -0.897727\n",
       "5   0.249889  0.924518 -0.383152   -1.118869\n",
       "6   0.299889  0.903437 -0.423277   -0.660732\n",
       "7   0.349900  0.882188 -0.441777   -0.505778\n",
       "8   0.399878  0.859266 -0.476189   -0.410643\n",
       "9   0.449844  0.834596 -0.486620   -0.705746\n",
       "10  0.499822  0.810631 -0.534322   -0.637357\n",
       "11  0.549800  0.781189 -0.569572   -0.316064\n",
       "12  0.599800  0.753689 -0.551990   -0.139395\n",
       "13  0.649800  0.725990 -0.582697   -0.129346\n",
       "14  0.699789  0.695427 -0.577824    0.276410\n",
       "15  0.749767  0.668228 -0.541942    0.289184\n",
       "16  0.799733  0.641262 -0.551451   -0.463123\n",
       "17  0.849711  0.613112 -0.588359    0.041256\n",
       "18  0.899678  0.582459 -0.560203    0.938087\n",
       "19  0.949678  0.557103 -0.479448    0.580063\n",
       "20  0.999689  0.534507 -0.495660   -0.213848\n",
       "21  1.049655  0.507548 -0.520275   -0.465780\n",
       "22  1.099644  0.482503 -0.526942   -0.388076\n",
       "23  1.149611  0.454873 -0.567239   -0.697265\n",
       "24  1.199588  0.425812 -0.595202   -0.355830\n",
       "25  1.249556  0.395388 -0.604996    0.133559\n",
       "26  1.299567  0.365323 -0.581352    0.738383\n",
       "27  1.349568  0.337251 -0.530544    0.709335\n",
       "28  1.399538  0.312288 -0.504008   -0.167453\n",
       "29  1.449530  0.286874 -0.547469    0.216806\n",
       "30  1.499511  0.257560 -0.504481    0.209500\n",
       "31  1.549492  0.236440 -0.488061   -0.157956\n",
       "32  1.599496  0.208759 -0.551042   -0.897100\n",
       "33  1.649477  0.181348 -0.565455   -0.044550\n",
       "34  1.699438  0.152245 -0.549273    0.307430\n",
       "35  1.751089  0.125882 -0.460627    0.282953"
      ]
     },
     "execution_count": 99,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "MediaDatosExperimentales"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 102,
   "id": "be1cb1ac-e086-43eb-ab45-797c559dd4b6",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'Posición de la servilleta y en función del tiempo')"
      ]
     },
     "execution_count": 102,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(MediaDatosExperimentales['t(s)'], MediaDatosExperimentales['y(m)'], label='MediaDatosExperimentales')\n",
    "plt.xlabel('Tiempo (s)')\n",
    "plt.ylabel('Posición (m)')\n",
    "plt.title('Posición de la servilleta y en función del tiempo')\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "3649e55d-864f-452e-a13a-724f3f08899b",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}