ruge kutta
DESCRIPTION
Hoja de excel para calcular Runge KuttaTRANSCRIPT
Valores Iniciales: Tiempo incial: 0 Tiempo final: 20 h=Posición inicial: 0 Velocidad incial: 0
Tiempo T1 T2 T3 T4 X1 X20.05 0.05 0.06 0.06 0.07 0 00.1 0.1 0.11 0.11 0.12 0.005 0.0099375
0.15 0.15 0.16 0.16 0.17 0.01962656 0.029254690.2 0.2 0.21 0.21 0.22 0.04315145 0.05699184
0.25 0.25 0.26 0.26 0.27 0.07440743 0.091774010.3 0.3 0.31 0.31 0.32 0.11184624 0.13187922
0.35 0.35 0.36 0.36 0.37 0.15361522 0.175323680.4 0.4 0.41 0.41 0.42 0.19764904 0.21995991
0.45 0.45 0.46 0.46 0.47 0.24177177 0.263582910.5 0.5 0.51 0.51 0.52 0.28380447 0.30403908
0.55 0.55 0.56 0.56 0.57 0.32167272 0.339332550.6 0.6 0.61 0.61 0.62 0.35350906 0.3677236
0.65 0.65 0.66 0.66 0.67 0.37774504 0.387814460.7 0.7 0.71 0.71 0.72 0.39318852 0.39861812
0.75 0.75 0.76 0.76 0.77 0.39908227 0.399606790.8 0.8 0.81 0.81 0.82 0.39514114 0.3907377
0.85 0.85 0.86 0.86 0.87 0.38156582 0.372454920.9 0.9 0.91 0.91 0.92 0.35903265 0.34566712
0.95 0.95 0.96 0.96 0.97 0.32865991 0.31170241 1 1.01 1.01 1.02 0.29195233 0.27224246
1.05 1.05 1.06 1.06 1.07 0.25072653 0.229239341.1 1.1 1.11 1.11 1.12 0.20702117 0.18481884
1.15 1.15 1.16 1.16 1.17 0.16299605 0.141175451.2 1.2 1.21 1.21 1.22 0.12082546 0.10046391
1.25 1.25 1.26 1.26 1.27 0.08259076 0.064692871.3 1.3 1.31 1.31 1.32 0.05017766 0.03562576
1.35 1.35 1.36 1.36 1.37 0.02518321 0.014693851.4 1.4 1.41 1.41 1.42 0.00883714 0.00292579
1.45 1.45 1.46 1.46 1.47 0.00194131 0.000897081.5 1.5 1.51 1.51 1.52 0.00483043 0.00870188
1.55 1.55 1.56 1.56 1.57 0.01735579 0.025948711.6 1.6 1.61 1.61 1.62 0.0388929 0.05178003
1.65 1.65 1.66 1.66 1.67 0.06837265 0.084914931.7 1.7 1.71 1.71 1.72 0.10433433 0.1237126
1.75 1.75 1.76 1.76 1.77 0.14499805 0.166253611.8 1.8 1.81 1.81 1.82 0.18835283 0.21043486
1.85 1.85 1.86 1.86 1.87 0.23225602 0.254073541.9 1.9 1.91 1.91 1.92 0.27453922 0.29501498
1.95 1.95 1.96 1.96 1.97 0.31311537 0.331239052 2 2.01 2.01 2.02 0.34608175 0.3609598
2.05 2.05 2.06 2.06 2.07 0.37181386 0.382713572.1 2.1 2.11 2.11 2.12 0.38904544 0.395431
2.15 2.15 2.16 2.16 2.17 0.39693078 0.398489642.2 2.2 2.21 2.21 2.22 0.39508626 0.39174443
2.25 2.25 2.26 2.26 2.27 0.38360898 0.375534492.3 2.3 2.31 2.31 2.32 0.36307165 0.35066618
2.35 2.35 2.36 2.36 2.37 0.33449405 0.318372892.4 2.4 2.41 2.41 2.42 0.29929241 0.28025395
0 1 2 3 4 5
-1
0
1
POSICION Y VELOCIDAD VS TIEMPO
POSICIÓN VELOCIDAD
2.45 2.45 2.46 2.46 2.47 0.25920914 0.238195372.5 2.5 2.51 2.51 2.52 0.21622671 0.19427655
2.55 2.55 2.56 2.56 2.57 0.17246948 0.150667482.6 2.6 2.61 2.61 2.62 0.13009879 0.1095215
2.65 2.65 2.66 2.66 2.67 0.09120617 0.0728692.7 2.7 2.71 2.71 2.72 0.0577101 0.04251721
2.75 2.75 2.76 2.76 2.77 0.03126138 0.019961092.8 2.8 2.81 2.81 2.82 0.01316177 0.00630972
2.85 2.85 2.86 2.86 2.87 0.00429993 0.002231752.9 2.9 2.91 2.91 2.92 0.00510778 0.00792265
2.95 2.95 2.96 2.96 2.97 0.01553945 0.023095353 3 3.01 3.01 3.02 0.03507387 0.04699474
3.05 3.05 3.06 3.06 3.07 0.06274075 0.078435213.1 3.1 3.11 3.11 3.12 0.0971688 0.11585949
3.15 3.15 3.16 3.16 3.17 0.13665369 0.157415763.2 3.2 3.21 3.21 3.22 0.17924244 0.20104932
3.25 3.25 3.26 3.26 3.27 0.22282996 0.244604123.3 3.3 3.31 3.31 3.32 0.26526318 0.28592937
3.35 3.35 3.36 3.36 3.37 0.30444733 0.322985683.4 3.4 3.41 3.41 3.42 0.33844939 0.35394574
3.45 3.45 3.46 3.46 3.47 0.36559344 0.377284413.5 3.5 3.51 3.51 3.52 0.38454327 0.39185388
3.55 3.55 3.56 3.56 3.57 0.39436815 0.396940083.6 3.6 3.61 3.61 3.62 0.39458851 0.39229768
3.65 3.65 3.66 3.66 3.67 0.3851994 0.378161943.7 3.7 3.71 3.71 3.72 0.36667043 0.35523679
3.75 3.75 3.76 3.76 3.77 0.33992224 0.324659763.8 3.8 3.81 3.81 3.82 0.3062808 0.28794556
3.85 3.85 3.86 3.86 3.87 0.26741168 0.246911013.9 3.9 3.91 3.91 3.92 0.22523757 0.20358519
3.95 3.95 3.96 3.96 3.97 0.18184319 0.160109074 4 4.01 4.01 4.02 0.13937222 0.1186297
4.05 4.05 4.06 4.06 4.07 0.09992144 0.081194234.1 4.1 4.11 4.11 4.12 0.06543717 0.04964883
4.15 4.15 4.16 4.16 4.17 0.03761927 0.025547664.2 4.2 4.21 4.21 4.22 0.01783736 0.01007631
4.25 4.25 4.26 4.26 4.27 0.00706336 0.003993484.3 4.3 4.31 4.31 4.32 0.00582376 0.00759375
4.35 4.35 4.36 4.36 4.37 0.0141739 0.020693374.4 4.4 4.41 4.41 4.42 0.0316955 0.04263956
4.45 4.45 4.46 4.46 4.47 0.05751764 0.072343114.5 4.5 4.51 4.51 4.52 0.09036001 0.10833239
4.55 4.55 4.56 4.56 4.57 0.12859645 0.148826254.6 4.6 4.61 4.61 4.62 0.1703354 0.19182223
4.65 4.65 4.66 4.66 4.67 0.21351351 0.235195524.7 4.7 4.71 4.71 4.72 0.25599763 0.27680397
4.75 4.75 4.76 4.76 4.77 0.29569022 0.314593964.8 4.8 4.81 4.81 4.82 0.33063285 0.34670165
4.85 4.85 4.86 4.86 4.87 0.3591029 0.371544984.9 4.9 4.91 4.91 4.92 0.37969843 0.3879016
4.95 4.95 4.96 4.96 4.97 0.39140723 0.39496902
5 5 5.01 5.01 5.02 0.39365658 0.392403965.05 5.05 5.06 5.06 5.07 0.38634124 0.380339045.1 5.1 5.11 5.11 5.12 0.36982836 0.35937591
5.15 5.15 5.16 5.16 5.17 0.34493906 0.330555295.2 5.2 5.21 5.21 5.22 0.31290763 0.29530527
5.25 5.25 5.26 5.26 5.27 0.27532027 0.255370565.3 5.3 5.31 5.31 5.32 0.23403658 0.21272615
5.35 5.35 5.36 5.36 5.37 0.19109755 0.16947965.4 5.4 5.41 5.41 5.42 0.14862465 0.12776693
5.45 5.45 5.46 5.46 5.47 0.10871503 0.089647075.5 5.5 5.51 5.51 5.52 0.07333794 0.05700028
5.55 5.55 5.56 5.56 5.57 0.04423762 0.031435375.6 5.6 5.61 5.61 5.62 0.02284724 0.01421043
5.65 5.65 5.66 5.66 5.67 0.01021836 0.006170935.7 5.7 5.71 5.71 5.72 0.00696923 0.00770822
5.75 5.75 5.76 5.76 5.77 0.01325451 0.018740475.8 5.8 5.81 5.81 5.82 0.02875793 0.03871702
5.85 5.85 5.86 5.86 5.87 0.05270819 0.066645845.9 5.9 5.91 5.91 5.92 0.08391735 0.10114283
5.95 5.95 5.96 5.96 5.97 0.12083974 0.140500386 6 6.01 6.01 6.02 0.1616485 0.18277189
6.05 6.05 6.06 6.06 6.07 0.20432598 0.225868086.1 6.1 6.11 6.11 6.12 0.24676349 0.26766024
6.15 6.15 6.16 6.16 6.17 0.28686549 0.306085356.2 6.2 6.21 6.21 6.22 0.32265308 0.33924795
6.25 6.25 6.26 6.26 6.27 0.35236163 0.365513636.3 6.3 6.31 6.31 6.32 0.3745278 0.38358957
6.35 6.35 6.36 6.36 6.37 0.38806161 0.392588196.4 6.4 6.41 6.41 6.42 0.39230006 0.3920707
6.45 6.45 6.46 6.46 6.47 0.38703958 0.382068546.5 6.5 6.51 6.51 6.52 0.3725458 0.3630815
6.55 6.55 6.56 6.56 6.57 0.34954017 0.336052756.6 6.6 6.61 6.61 6.62 0.31916402 0.30232202
6.65 6.65 6.66 6.66 6.67 0.28292197 0.263559166.7 6.7 6.71 6.71 6.72 0.24260737 0.22168149
6.75 6.75 6.76 6.76 6.77 0.20021357 0.178758976.8 6.8 6.81 6.81 6.82 0.1578354 0.13691189
6.85 6.85 6.86 6.86 6.87 0.11756559 0.09820616.9 6.9 6.91 6.91 6.92 0.08139147 0.06455107
6.95 6.95 6.96 6.96 6.97 0.0510969 0.037605667 7 7.01 7.01 7.02 0.02817429 0.01869637
7.05 7.05 7.06 7.06 7.07 0.01375105 0.008752047.1 7.1 7.11 7.11 7.12 0.00853422 0.0082582
7.15 7.15 7.16 7.16 7.17 0.01277573 0.017233427.2 7.2 7.21 7.21 7.22 0.02626028 0.03522862
7.25 7.25 7.26 7.26 7.27 0.04831626 0.06134967.3 7.3 7.31 7.31 7.32 0.0778492 0.0943014
7.35 7.35 7.36 7.36 7.37 0.11339606 0.132452557.4 7.4 7.41 7.41 7.42 0.15319773 0.17391584
7.45 7.45 7.46 7.46 7.47 0.19528606 0.216641657.5 7.5 7.51 7.51 7.52 0.23758121 0.25851928
7.55 7.55 7.56 7.56 7.57 0.27799438 0.297481227.6 7.6 7.61 7.61 7.62 0.31453103 0.33160521
7.65 7.65 7.66 7.66 7.67 0.34538926 0.359209117.7 7.7 7.71 7.71 7.72 0.36904872 0.37893377
7.75 7.75 7.76 7.76 7.77 0.38434548 0.389810017.8 7.8 7.81 7.81 7.82 0.39052929 0.39130618
7.85 7.85 7.86 7.86 7.87 0.38730042 0.38335427.9 7.9 7.91 7.91 7.92 0.37482412 0.36635257
7.95 7.95 7.96 7.96 7.97 0.35372221 0.341146488 8 8.01 8.01 8.02 0.32504209 0.30898574
8.05 8.05 8.06 8.06 8.07 0.29020474 0.271462828.1 8.1 8.11 8.11 8.12 0.25093433 0.23043403
8.15 8.15 8.16 8.16 8.17 0.20917288 0.187927648.2 8.2 8.21 8.21 8.22 0.16698421 0.14604365
8.25 8.25 8.26 8.26 8.27 0.126452 0.106850038.3 8.3 8.31 8.31 8.32 0.08957681 0.07228061
8.35 8.35 8.36 8.36 8.37 0.05817739 0.044039678.4 8.4 8.41 8.41 8.42 0.03380095 0.02351791
8.45 8.45 8.46 8.46 8.47 0.01764692 0.0117248.5 8.5 8.51 8.51 8.52 0.01050798 0.00923497
8.55 8.55 8.56 8.56 8.57 0.01273109 0.016167998.6 8.6 8.61 8.61 8.62 0.02420069 0.03217487
8.65 8.65 8.66 8.66 8.67 0.04434468 0.056459558.7 8.7 8.71 8.71 8.72 0.07216294 0.08781768
8.75 8.75 8.76 8.76 8.77 0.10627697 0.124696328.8 8.8 8.81 8.81 8.82 0.14499826 0.16527092
8.85 8.85 8.86 8.86 8.87 0.1864118 0.207535498.9 8.9 8.91 8.91 8.92 0.22847079 0.24940185
8.95 8.95 8.96 8.96 8.97 0.26909786 0.288802779 9 9.01 9.01 9.02 0.30628761 0.32379404
9.05 9.05 9.06 9.06 9.07 0.33820563 0.352650429.1 9.1 9.11 9.11 9.12 0.36327896 0.37395068
9.15 9.15 9.16 9.16 9.17 0.38027364 0.386647629.2 9.2 9.21 9.21 9.22 0.38835542 0.39011954
9.25 9.25 9.26 9.26 9.27 0.38713068 0.384200689.3 9.3 9.31 9.31 9.32 0.37666567 0.36918913
9.35 9.35 9.36 9.36 9.37 0.35748286 0.34583189.4 9.4 9.41 9.41 9.42 0.33053495 0.31528731
9.45 9.45 9.46 9.46 9.47 0.29715748 0.279068459.5 9.5 9.51 9.51 9.52 0.25900271 0.23896733
9.55 9.55 9.56 9.56 9.57 0.21795777 0.196966649.6 9.6 9.61 9.61 9.62 0.17605135 0.15514167
9.65 9.65 9.66 9.66 9.67 0.13535345 0.115557749.7 9.7 9.71 9.71 9.72 0.09787309 0.08016824
9.75 9.75 9.76 9.76 9.77 0.06545919 0.050718219.8 9.8 9.81 9.81 9.82 0.03970929 0.02865832
9.85 9.85 9.86 9.86 9.87 0.02189089 0.015073379.9 9.9 9.91 9.91 9.92 0.01287901 0.010629
9.95 9.95 9.96 9.96 9.97 0.01311326 0.0155390510 10 10.01 10.01 10.02 0.02257636 0.02955527
10.05 10.05 10.06 10.06 10.07 0.04079529 0.05197987
10.1 10.1 10.11 10.11 10.12 0.06686496 0.0817002910.15 10.15 10.16 10.16 10.17 0.09949312 0.1172443410.2 10.2 10.21 10.21 10.22 0.13706445 0.15685316
10.25 10.25 10.26 10.26 10.27 0.17772053 0.1985682410.3 10.3 10.31 10.31 10.32 0.21945174 0.24032828
10.35 10.35 10.36 10.36 10.37 0.26019662 0.2800710310.4 10.4 10.41 10.41 10.42 0.29794366 0.31583511
10.45 10.45 10.46 10.46 10.47 0.33083068 0.3458568610.5 10.5 10.51 10.51 10.52 0.35723661 0.36865725
10.55 10.55 10.56 10.56 10.57 0.37586146 0.383114810.6 10.6 10.61 10.61 10.62 0.38579028 0.38852071
10.65 10.65 10.66 10.66 10.67 0.38653813 0.384613610.7 10.7 10.71 10.71 10.72 0.37807373 0.37159216
10.75 10.75 10.76 10.76 10.77 0.36082078 0.3501050510.8 10.8 10.81 10.81 10.82 0.3356367 0.3212186
10.85 10.85 10.86 10.86 10.87 0.30377003 0.2863638610.9 10.9 10.91 10.91 10.92 0.26679858 0.24726574
10.95 10.95 10.96 10.96 10.97 0.22655125 0.2058576311 11 11.01 11.01 11.02 0.18501758 0.16418582
11.05 11.05 11.06 11.06 11.07 0.14424941 0.1243083311.1 11.1 11.11 11.11 11.12 0.10625953 0.08819332
11.15 11.15 11.16 11.16 11.17 0.07292227 0.0576219311.2 11.2 11.21 11.21 11.22 0.04588104 0.03410043
11.25 11.25 11.26 11.26 11.27 0.02646732 0.0187860411.3 11.3 11.31 11.31 11.32 0.01563512 0.01242996
11.35 11.35 11.36 11.36 11.37 0.01391406 0.0153405411.4 11.4 11.41 11.41 11.42 0.0213835 0.02736832
11.45 11.45 11.46 11.46 11.47 0.03766893 0.0479137211.5 11.5 11.51 11.51 11.52 0.06196067 0.07595688
11.55 11.55 11.56 11.56 11.57 0.09305418 0.1101083411.6 11.6 11.61 11.61 11.62 0.12940979 0.14867782
11.65 11.65 11.66 11.66 11.67 0.16922891 0.1897579311.7 11.7 11.71 11.71 11.72 0.21054301 0.23131847
11.75 11.75 11.76 11.76 11.77 0.25131097 0.2713067611.8 11.8 11.81 11.81 11.82 0.28951989 0.30774905
11.85 11.85 11.86 11.86 11.87 0.32328448 0.3388478911.9 11.9 11.91 11.91 11.92 0.3509401 0.36307084
11.95 11.95 11.96 11.96 11.97 0.3711248 0.3792259412 12 12.01 12.01 12.02 0.38284643 0.38652039
12.05 12.05 12.06 12.06 12.07 0.38553134 0.3845994412.1 12.1 12.11 12.11 12.12 0.37905254 0.37356363
12.15 12.15 12.16 12.16 12.17 0.36373562 0.3539635712.2 12.2 12.21 12.21 12.22 0.34034243 0.32677246
12.25 12.25 12.26 12.26 12.27 0.31003318 0.2933377512.3 12.3 12.31 12.31 12.32 0.27430888 0.25531439
12.35 12.35 12.36 12.36 12.37 0.23493705 0.2145829212.4 12.4 12.41 12.41 12.42 0.19386422 0.17315645
12.45 12.45 12.46 12.46 12.47 0.15311976 0.1330811512.5 12.5 12.51 12.51 12.52 0.11471551 0.09633522
12.55 12.55 12.56 12.56 12.57 0.08054656 0.0647312412.6 12.6 12.61 12.61 12.62 0.05229764 0.03982671
12.65 12.65 12.66 12.66 12.67 0.03136011 0.0228473612.7 12.7 12.71 12.71 12.72 0.01876342 0.01462678
12.75 12.75 12.76 12.76 12.77 0.01512448 0.0155655312.8 12.8 12.81 12.81 12.82 0.02061745 0.0256116
12.85 12.85 12.86 12.86 12.87 0.03496545 0.0442632512.9 12.9 12.91 12.91 12.92 0.05745447 0.07059411
12.95 12.95 12.96 12.96 12.97 0.0869689 0.1032991413 13 13.01 13.01 13.02 0.12204691 0.14075935
13.05 13.05 13.06 13.06 13.07 0.16095281 0.1811219113.1 13.1 13.11 13.11 13.12 0.20176297 0.22239182
13.15 13.15 13.16 13.16 13.17 0.24246087 0.2625304813.2 13.2 13.21 13.21 13.22 0.28103682 0.29955643
13.25 13.25 13.26 13.26 13.27 0.31558713 0.3316431613.3 13.3 13.31 13.31 13.32 0.34440811 0.35720917
13.35 13.35 13.36 13.36 13.37 0.36608001 0.3749959813.4 13.4 13.41 13.41 13.42 0.37953704 0.38413001
13.45 13.45 13.46 13.46 13.47 0.38411973 0.3841655513.5 13.5 13.51 13.51 13.52 0.37960723 0.37510645
13.55 13.55 13.56 13.56 13.57 0.36622801 0.357405713.6 13.6 13.61 13.61 13.62 0.34464824 0.33194273
13.65 13.65 13.66 13.66 13.67 0.31593865 0.2999797813.7 13.7 13.71 13.71 13.72 0.28152141 0.26309927
13.75 13.75 13.76 13.76 13.77 0.24309965 0.223125513.8 13.8 13.81 13.81 13.82 0.20257322 0.1820344
13.85 13.85 13.86 13.86 13.87 0.16194473 0.1418558613.9 13.9 13.91 13.91 13.92 0.12322059 0.10457343
13.95 13.95 13.96 13.96 13.97 0.08831194 0.0720264514 14 14.01 14.01 14.02 0.0589403 0.04581925
14.05 14.05 14.06 14.06 14.07 0.03655271 0.027242114.1 14.1 14.11 14.11 14.12 0.02225043 0.01720769
14.15 14.15 14.16 14.16 14.17 0.01673475 0.0162062714.2 14.2 14.21 14.21 14.22 0.02027263 0.02428172
14.25 14.25 14.26 14.26 14.27 0.03268377 0.0410296514.3 14.3 14.31 14.31 14.32 0.05334979 0.06561764
14.35 14.35 14.36 14.36 14.37 0.08124506 0.0968266414.4 14.4 14.41 14.41 14.42 0.11498756 0.13311137
14.45 14.45 14.46 14.46 14.47 0.15290739 0.1726768514.5 14.5 14.51 14.51 14.52 0.19312939 0.21356721
14.55 14.55 14.56 14.56 14.57 0.23366585 0.2537623414.6 14.6 14.61 14.61 14.62 0.27251477 0.29127773
14.65 14.65 14.66 14.66 14.67 0.30775874 0.3242624114.7 14.7 14.71 14.71 14.72 0.33765952 0.35109031
14.75 14.75 14.76 14.76 14.77 0.36074384 0.3704403914.8 14.8 14.81 14.81 14.82 0.37587592 0.3813617
14.85 14.85 14.86 14.86 14.87 0.38231342 0.3833201114.9 14.9 14.91 14.91 14.92 0.3797438 0.37622446
14.95 14.95 14.96 14.96 14.97 0.36829951 0.3604307215 15 15.01 15.01 15.02 0.34855117 0.33672422
15.05 15.05 15.06 15.06 15.07 0.32147916 0.3062805215.1 15.1 15.11 15.11 15.12 0.28842486 0.27060717
15.15 15.15 15.16 15.16 15.17 0.2510243 0.23146907
15.2 15.2 15.21 15.21 15.22 0.2111271 0.1908010815.25 15.25 15.26 15.26 15.27 0.17070504 0.1506124715.3 15.3 15.31 15.31 15.32 0.13175459 0.11288755
15.35 15.35 15.36 15.36 15.37 0.09619833 0.0794877815.4 15.4 15.41 15.41 15.42 0.06579004 0.05205985
15.45 15.45 15.46 15.46 15.47 0.04202817 0.0319545515.5 15.5 15.51 15.51 15.52 0.02608207 0.02016022
15.55 15.55 15.56 15.56 15.57 0.01873436 0.0172541615.6 15.6 15.61 15.61 15.62 0.0203426 0.0233744
15.65 15.65 15.66 15.66 15.67 0.03082183 0.0382131315.7 15.7 15.71 15.71 15.72 0.04964909 0.06103219
15.75 15.75 15.76 15.76 15.77 0.07588948 0.0906997915.8 15.8 15.81 15.81 15.82 0.1082426 0.12574663
15.85 15.85 15.86 15.86 15.87 0.14510699 0.1644386815.9 15.9 15.91 15.91 15.92 0.1846594 0.20486297
15.95 15.95 15.96 15.96 15.97 0.22494496 0.2450221616 16 16.01 16.01 16.02 0.2639738 0.28293324
16.05 16.05 16.06 16.06 16.07 0.29981935 0.3167254516.1 16.1 16.11 16.11 16.12 0.33071342 0.34473258
16.15 16.15 16.16 16.16 16.17 0.35513342 0.3655751116.2 16.2 16.21 16.21 16.22 0.37187743 0.37822822
16.25 16.25 16.26 16.26 16.27 0.38012331 0.3820721116.3 16.3 16.31 16.31 16.32 0.3794691 0.37692239
16.35 16.35 16.36 16.36 16.37 0.36995262 0.3630389316.4 16.4 16.41 16.41 16.42 0.35204926 0.34111271
16.45 16.45 16.46 16.46 16.47 0.32664834 0.3122314816.5 16.5 16.51 16.51 16.52 0.29500884 0.27782577
16.55 16.55 16.56 16.56 16.57 0.25869706 0.2395980516.6 16.6 16.61 16.61 16.62 0.21950908 0.19943845
16.65 16.65 16.66 16.66 16.67 0.17938186 0.1593313716.7 16.7 16.71 16.71 16.72 0.14029759 0.12125737
16.75 16.75 16.76 16.76 16.77 0.10418572 0.0870954116.8 16.8 16.81 16.81 16.82 0.07282771 0.05853007
16.85 16.85 16.86 16.86 16.87 0.04776918 0.0369685516.9 16.9 16.91 16.91 16.92 0.03024371 0.02347129
16.95 16.95 16.96 16.96 16.97 0.02111209 0.0186998417 17 17.01 17.01 17.02 0.0208201 0.02288445
17.05 17.05 17.06 17.06 17.07 0.02937669 0.0358129417.1 17.1 17.11 17.11 17.12 0.04635387 0.05684147
17.15 17.15 17.16 17.16 17.17 0.07090804 0.0849265917.2 17.2 17.21 17.21 17.22 0.10182198 0.11867703
17.25 17.25 17.26 17.26 17.27 0.13756515 0.1564225917.3 17.3 17.31 17.31 17.32 0.17636947 0.19629684
17.35 17.35 17.36 17.36 17.37 0.21631678 0.2363293417.4 17.4 17.41 17.41 17.42 0.25543367 0.27454309
17.45 17.45 17.46 17.46 17.47 0.29178894 0.3090521117.5 17.5 17.51 17.51 17.52 0.32358898 0.33815453
17.55 17.55 17.56 17.56 17.57 0.34926622 0.3604165317.6 17.6 17.61 17.61 17.62 0.36755643 0.37474297
17.65 17.65 17.66 17.66 17.67 0.37756094 0.3804312717.7 17.7 17.71 17.71 17.72 0.37879082 0.37720586
17.75 17.75 17.76 17.76 17.77 0.37119075 0.3652315117.8 17.8 17.81 17.81 17.82 0.35514148 0.34510495
17.85 17.85 17.86 17.86 17.87 0.3314408 0.3178251317.9 17.9 17.91 17.91 17.92 0.30126383 0.28474361
17.95 17.95 17.96 17.96 17.97 0.26610479 0.2474976218 18 18.01 18.01 18.02 0.22770301 0.20792906
18.05 18.05 18.06 18.06 18.07 0.18795688 0.1679933618.1 18.1 18.11 18.11 18.12 0.14883001 0.12966289
18.15 18.15 18.16 18.16 18.17 0.1122542 0.0948295218.2 18.2 18.21 18.21 18.22 0.0800341 0.06521126
18.25 18.25 18.26 18.26 18.27 0.05375813 0.0422675218.3 18.3 18.31 18.31 18.32 0.03472022 0.02712722
18.35 18.35 18.36 18.36 18.37 0.02385604 0.0205332118.4 18.4 18.41 18.41 18.42 0.02169705 0.02280585
18.45 18.45 18.46 18.46 18.47 0.0283445 0.0338274318.5 18.5 18.51 18.51 18.52 0.04346467 0.05304827
18.55 18.55 18.56 18.56 18.57 0.06630566 0.0795141418.6 18.6 18.61 18.61 18.62 0.09573476 0.11191361
18.65 18.65 18.66 18.66 18.67 0.13029461 0.1486430318.7 18.7 18.71 18.71 18.72 0.16827538 0.18788594
18.75 18.75 18.76 18.76 18.77 0.20779935 0.2277028518.8 18.8 18.81 18.81 18.82 0.24691378 0.26612714
18.85 18.85 18.86 18.86 18.87 0.28368733 0.3012621818.9 18.9 18.91 18.91 18.92 0.31630547 0.33137492
18.95 18.95 18.96 18.96 18.97 0.34315999 0.3549814119 19 19.01 19.01 19.02 0.36292829 0.37091991
19.05 19.05 19.06 19.06 19.07 0.37463853 0.3784080719.1 19.1 19.11 19.11 19.12 0.37771741 0.37708132
19.15 19.15 19.16 19.16 19.17 0.37201819 0.3670106119.2 19.2 19.21 19.21 19.22 0.35782776 0.34869866
19.25 19.25 19.26 19.26 19.27 0.3358521 0.3230548619.3 19.3 19.31 19.31 19.32 0.30718125 0.29135009
19.35 19.35 19.36 19.36 19.37 0.27323518 0.2551537619.4 19.4 19.41 19.41 19.42 0.2356935 0.21625612
19.45 19.45 19.46 19.46 19.47 0.19641235 0.1765797219.5 19.5 19.51 19.51 19.52 0.15733261 0.13808437
19.55 19.55 19.56 19.56 19.57 0.12038402 0.1026703419.6 19.6 19.61 19.61 19.62 0.0873899 0.07208458
19.65 19.65 19.66 19.66 19.67 0.05997715 0.0478345319.7 19.7 19.71 19.71 19.72 0.03949604 0.03111379
19.75 19.75 19.76 19.76 19.77 0.0269537 0.0227434619.8 19.8 19.81 19.81 19.82 0.02296462 0.02313171
19.85 19.85 19.86 19.86 19.87 0.02772051 0.0322539819.9 19.9 19.91 19.91 19.92 0.04098111 0.04965439
19.95 19.95 19.96 19.96 19.97 0.06208632 0.0744685520 20 20.01 20.01 20.02 0.08998907 0.10546649
0.02 N= 1000 4 5000 100
X3 X4 Y1 Y2 Y3 Y4 F1 F20.0025 0.005 0 0.25 0.25 0.49375 25 25
0.012375 0.01962656 0.49375 0.7375 0.73132813 0.9628125 24.375 23.75781250.03150936 0.04315145 0.9628125 1.1882793 1.17624414 1.38403911 22.5466797 21.34316410.05895244 0.07440743 1.38403911 1.5800998 1.56279932 1.736658 19.6060693 17.87602040.09334392 0.11184624 1.736658 1.89364871 1.87194049 2.00329821 15.699071 13.52824850.13298115 0.15361522 2.00329821 2.1134904 2.08844918 2.17084534 11.0192198 8.515097070.17590349 0.19764904 2.17084534 2.22882631 2.20169074 2.23108662 5.79809688 3.084540210.21998929 0.24177177 2.23108662 2.23402532 2.20613674 2.18111339 0.29387002 -2.494988260.26306076 0.28380447 2.18111339 2.12889867 2.10163475 2.02346149 -5.22147183 -7.947863560.30299153 0.32167272 2.02346149 1.9187059 1.89341263 1.76598266 -10.4755587 -13.00488560.33781164 0.35350906 1.76598266 1.61389176 1.59181698 1.42145356 -15.2090903 -17.41656860.36580473 0.37774504 1.42145356 1.22956724 1.21179907 1.00694173 -19.1886327 -20.96544970.38559265 0.39318852 1.00694173 0.78476043 0.77217365 0.54296011 -22.2181304 -23.47680760.39620326 0.39908227 0.54296011 0.30147447 0.29468746 0.05245196 -24.1485645 -24.82726470.39711826 0.39514114 0.05245196 -0.19640087 -0.19705652 -0.44034368 -24.8852832 -24.95084810.38829843 0.38156582 -0.44034368 -0.6842701 -0.67876581 -0.91108977 -24.3926419 -23.84221230.37018535 0.35903265 -0.91108977 -1.13804704 -1.12665842 -1.33655314 -22.6957274 -21.55686520.34367921 0.32865991 -1.33655314 -1.53534395 -1.51863704 -1.69575117 -19.8790813 -18.20838990.31009415 0.29195233 -1.69575117 -1.85657606 -1.83537917 -1.97098654 -16.0824887 -13.96279980.27109306 0.25072653 -1.97098654 -2.08592695 -2.06128962 -2.14871918 -11.4940408 -9.030307630.22860526 0.20702117 -2.14871918 -2.21212735 -2.18526836 -2.22023234 -6.34081676 -3.654917780.18473108 0.16299605 -2.22023234 -2.22900879 -2.20125589 -2.18206003 -0.87764586 1.89764456
0.141638 0.12082546 -2.18206003 -2.13580509 -2.10852934 -2.03615503 4.62549386 7.35306890.10145359 0.08259076 -2.03615503 -1.93718686 -1.91173492 -1.78978901 9.89681722 12.4420110.06616049 0.05017766 -1.78978901 -1.64302747 -1.6206551 -1.45519023 14.6761545 16.91339080.03749854 0.02518321 -1.45519023 -1.26791231 -1.24972243 -1.04893658 18.7277923 20.54678010.01687906 0.00883714 -1.04893658 -0.8304156 -0.81730389 -0.59113422 21.8520984 23.16326910.00531533 0.00194131 -0.59113422 -0.35218064 -0.34479147 -0.10442255 23.8953581 24.63427590.00337281 0.00483043 -0.10442255 0.14315082 0.1444561 0.38714542 24.7573368 24.88786490.0111415 0.01735579 0.38714542 0.63110738 0.62626807 0.85929166 24.3961965 23.9122647
0.02823176 0.0388929 0.85929166 1.08759693 1.07685578 1.28871227 22.8305263 21.75641180.05379387 0.06837265 1.28871227 1.49009614 1.47398723 1.6542276 20.1383869 18.52749650.08656027 0.10433433 1.6542276 1.81876179 1.79808394 1.93782693 16.4534188 14.38563430.12490842 0.14499805 1.93782693 2.05740902 2.03318619 2.12555589 11.9582089 9.535925270.16694114 0.18835283 2.12555589 2.19430832 2.16773887 2.20820305 6.87524348 4.218298620.21058045 0.23225602 2.20820305 2.22276201 2.19515947 2.18175192 1.4558963 -1.304357510.25367034 0.27453922 2.18175192 2.1414319 2.11416 2.04757608 -4.03200238 -6.759192290.29408324 0.31311537 2.04757608 1.95440205 1.92880735 1.81236798 -9.31740238 -11.87687250.3298251 0.34608175 1.81236798 1.67097377 1.64831917 1.48780522 -14.1394208 -16.4048807
0.35913378 0.37181386 1.48780522 1.30520303 1.28660547 1.08997077 -18.2602187 -20.11997520.38056589 0.38904544 1.08997077 0.87520345 0.86157881 0.63855604 -21.4767324 -22.83919580.39306793 0.39693078 0.63855604 0.40224924 0.39426729 0.15588622 -23.6306794 -24.42887440.39602801 0.39508626 0.15588622 -0.09027726 -0.09222584 -0.3341838 -24.6163476 -24.81120540.38930585 0.38360898 -0.3341838 -0.57804163 -0.57386434 -0.80744842 -24.385783 -23.96805330.37323938 0.36307165 -0.80744842 -1.03695965 -1.02686654 -1.24054688 -22.9511222 -21.94181170.34862778 0.33449405 -1.24054688 -1.44438643 -1.4288796 -1.61211633 -20.3839558 -18.83327220.31669172 0.29929241 -1.61211633 -1.7802339 -1.76008245 -1.90384562 -16.8117568 -14.79661140.27901279 0.25920914 -1.90384562 -2.02796113 -2.00416306 -2.10137761 -12.4115507 -10.0317437
𝑥 ̈=𝑥 ̇= 𝑥=𝐹(𝑡)=
0 1 2 3 4 5
-1
0
1
POSICION Y VELOCIDAD VS TIEMPO
POSICIÓN VELOCIDAD
0.23745525 0.21622671 -2.10137761 -2.17538904 -2.14912182 -2.19501574 -7.40114308 -4.774421070.19407372 0.17246948 -2.19501574 -2.21529913 -2.18786143 -2.18020004 -2.02833853 0.715431140.15101161 0.13009879 -2.18020004 -2.14578689 -2.11853438 -2.05772906 3.44131504 6.166565090.11039527 0.09120617 -2.05772906 -1.97035255 -1.94463094 -1.83371723 8.73765101 11.30981230.07422892 0.0577101 -1.83371723 -1.69772495 -1.67480348 -1.51928954 13.5992284 15.89137490.04429583 0.03126138 -1.51928954 -1.34142717 -1.32243605 -1.13002912 17.7862371 19.6853490.02207032 0.01316177 -1.13002912 -0.91910585 -0.90498048 -0.68520493 21.0923272 22.50486360.0086452 0.00429993 -0.68520493 -0.45165714 -0.44309208 -0.20681793 23.3547784 24.21128450.004678 0.00510778 -0.20681793 0.03780715 0.04039238 0.28148706 24.4625086 24.721031
0.0103588 0.01553945 0.28148706 0.52510234 0.52158375 0.75559006 24.3615276 24.00966880.02540111 0.03507387 0.75559006 0.98616574 0.97672086 1.19208728 23.0575683 22.11308070.04905632 0.06274075 1.19208728 1.39824494 1.38334385 1.56944648 20.6157661 19.1256570.08015095 0.0971688 1.56944648 1.74102054 1.72140246 1.86906909 17.1574065 15.19559840.11714488 0.13665369 1.86906909 1.9976081 1.97424473 2.0762069 12.8539003 10.5175640.15820759 0.17924244 2.0762069 2.15538978 2.1294372 2.18068792 7.91828851 5.323029890.20130878 0.22282996 2.18068792 2.20663488 2.17937628 2.17741596 2.59469552 -0.131164380.24431875 0.26526318 2.17741596 2.14887851 2.12166081 2.06661909 -2.85374517 -5.575515120.28511358 0.30444733 2.06661909 1.98504012 1.95920738 1.85383515 -8.1578972 -10.74117110.32168009 0.33844939 1.85383515 1.72327599 1.70010305 1.54963493 -13.0559157 -15.37320960.35221512 0.36559344 1.54963493 1.3765732 1.35720277 1.16909714 -17.3061733 -19.2432170.37521449 0.38454327 1.16909714 0.96210534 0.94749162 0.7310609 -20.6991802 -22.16055160.38954709 0.39436815 0.7310609 0.50038181 0.49124355 0.25719317 -23.0679093 -23.98173540.39451047 0.39458851 0.25719317 0.01423299 0.01101808 -0.22908302 -24.2960181 -24.61750960.38986532 0.3851994 -0.22908302 -0.47231865 -0.46945511 -0.70374632 -24.3235633 -24.03720950.37584695 0.36667043 -0.70374632 -0.93524557 -0.92644874 -1.14336369 -23.1499255 -22.27024260.35315341 0.33992224 -1.14336369 -1.35170172 -1.33740968 -1.52624722 -20.8338037 -19.40459910.32291074 0.3062808 -1.52624722 -1.70115001 -1.68207192 -1.83352406 -17.4902795 -15.58247050.28661705 0.26741168 -1.83352406 -1.96637505 -1.943456 -2.05006667 -13.2850997 -10.99319460.24606836 0.22523757 -2.05006667 -2.13433127 -2.10870544 -2.16523759 -8.42645967 -5.863876330.20326972 0.18184319 -2.16523759 -2.19678455 -2.16971908 -2.17341189 -3.15469607 -0.448149090.16033603 0.13937222 -2.17341189 -2.15071588 -2.12354823 -2.07425196 2.26960162 4.986366490.11938755 0.09992144 -2.07425196 -1.99846724 -1.97253909 -1.87272084 7.57847219 10.17128710.08244521 0.06543717 -1.87272084 -1.74762264 -1.72421363 -1.57883388 12.5098199 14.8507210.05133086 0.03761927 -1.57883388 -1.41063034 -1.39089491 -1.20716104 16.820354 18.79389630.02757742 0.01783736 -1.20716104 -1.00418512 -0.98909561 -0.77610458 20.2975913 21.80654260.01235334 0.00706336 -0.77610458 -0.54840128 -0.53869997 -0.30698795 22.7703303 23.7404610.00640519 0.00582376 -0.30698795 -0.06581714 -0.06197979 0.17699909 24.1170802 24.50081520.01002096 0.0141739 0.17699909 0.41971939 0.4175069 0.6519467 24.2720297 24.05078090.02301619 0.0316955 0.6519467 0.88422932 0.87607999 1.09440621 23.2282625 22.41332910.04474337 0.05751764 1.09440621 1.30478684 1.29110676 1.48254779 21.0380625 19.67005470.07412414 0.09036001 1.48254779 1.66065075 1.6421189 1.79723744 17.8102956 15.95711090.10970289 0.12859645 1.79723744 1.93428742 1.91182195 2.02298022 13.7049983 11.45845160.1497188 0.1703354 2.02298022 2.11223465 2.0869474 2.14868322 8.92544347 6.39671819
0.19219304 0.21351351 2.14868322 2.18576397 2.15890543 2.16820062 3.70807496 1.022220940.2350266 0.25599763 2.16820062 2.15130874 2.12420623 2.08063413 -1.68918861 -4.399439390.276104 0.29569022 2.08063413 2.01063709 1.98462916 1.89037412 -6.99970418 -9.60049685
0.31339783 0.33063285 1.89037412 1.77076135 1.74713167 1.60687954 -11.9612771 -14.32424470.34506873 0.3591029 1.60687954 1.44358848 1.42350249 1.24420771 -16.3291063 -18.33770570.36955619 0.37969843 1.24420771 1.04532908 1.02977649 0.82031723 -19.8878625 -21.44312210.38565537 0.39140723 0.82031723 0.59569419 0.58544023 0.3561788 -22.4623037 -23.48770020.39257643 0.39365658 0.3561788 0.11691976 0.11246752 -0.12526228 -23.9259043 -24.3711278
0.38998325 0.38634124 -0.12526228 -0.36733301 -0.36576723 -0.60022041 -24.2070731 -24.05049520.37800977 0.36982836 -0.60022041 -0.83314696 -0.82564421 -1.04524484 -23.292655 -22.54237950.35725305 0.34493906 -1.04524484 -1.25753029 -1.24446472 -1.43837747 -21.2285445 -19.92198840.32874355 0.31290763 -1.43837747 -1.6195513 -1.60157158 -1.76023634 -18.1173827 -16.31941080.29389392 0.27532027 -1.76023634 -1.90137088 -1.87936793 -1.99497115 -14.1134537 -11.91315830.25442906 0.23403658 -1.99497115 -2.08912149 -2.06418435 -2.13104379 -9.4150339 -6.921319970.21230069 0.19109755 -2.13104379 -2.17358952 -2.14695147 -2.16179551 -4.25457304 -1.59076830.16959088 0.14862465 -2.16179551 -2.15066745 -2.12364501 -2.08577271 1.11280564 3.815050030.12840912 0.10871503 -2.08577271 -2.02155353 -1.99548137 -1.90679551 6.42191816 9.029134050.09078813 0.07333794 -1.90679551 -1.79268929 -1.76885435 -1.63376585 11.4106216 13.7941160.05858356 0.04423762 -1.63376585 -1.47543827 -1.4550162 -1.28022474 15.8327575 17.87496480.0333824 0.02284724 -1.28022474 -1.08552176 -1.06951895 -0.86368074 19.470298 21.0705789
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F3 F4 POSICIÓN VELOCIDAD 0.0524.6875 24.375 0.0049791667 0.49583333 0.1
23.453125 22.5466797 0.0196473958 0.47614518 0.1521.0613306 19.6060693 0.0432128908 0.44283236 0.217.6309446 15.699071 0.0745064298 0.39754835 0.2513.3320102 11.0192198 0.1119778803 0.34253679 0.38.37735682 5.79809688 0.1537729838 0.28052032 0.353.01206399 0.29387002 0.1978251119 0.21456581 0.4-2.49866163 -5.22147183 0.2419574536 0.1479327 0.45-7.88259517 -10.4755587 0.2839905804 0.08391195 0.5-12.8739411 -15.2090903 0.3218500737 0.02566346 0.55-17.226455 -19.1886327 0.3536689013 -0.02393985 0.6
-20.7255918 -22.2181304 0.3778794882 -0.06245376 0.65-23.1990809 -24.1485645 0.3932909432 -0.0879832 0.7-24.5254076 -24.8852832 0.3991476361 -0.09927546 0.75-24.6397821 -24.3926419 0.3951662438 -0.09578169 0.8-23.5373043 -22.6957274 0.3815494509 -0.07768354 0.85-21.2731686 -19.8790813 0.3589756395 -0.04588377 0.9-17.9599014 -16.0824887 0.3285650962 -0.00196119 0.95-13.7617687 -11.4940408 0.2918244159 0.05190769 1-8.88663212 -6.34081676 0.2505718636 0.11305654 1.05-3.57565757 -0.87764586 0.206847391 0.17846116 1.11.90861513 4.62549386 0.1628117611 0.24488906 1.157.29525023 9.89681722 0.1206397693 0.30905921 1.212.3183008 14.6761545 0.0824128369 0.36780411 1.2516.7299389 18.7277923 0.0500162826 0.41822612 1.320.3126827 21.8520984 0.0250463407 0.45784038 1.3522.8901179 23.8953581 0.0087315138 0.48469731 1.424.3355839 24.7573368 0.001872132 0.49747852 1.4524.5783982 24.3961965 0.004801095 0.4955615 1.523.6073123 22.8305263 0.0173677213 0.47905002 1.5521.4710302 20.1383869 0.0389454871 0.44876845 1.618.2757667 16.4534188 0.0684632603 0.40622068 1.6514.1799666 11.9582089 0.1044584696 0.35351541 1.79.38644766 6.87524348 0.1451495726 0.29326166 1.754.13235808 1.4558963 0.1885242299 0.22843956 1.8-1.32255622 -4.03200238 0.2324388227 0.16225305 1.85-6.70879226 -9.31740238 0.2747243917 0.09797144 1.9-11.760405 -14.1394208 0.313293762 0.03876796 1.95-16.228138 -18.2602187 0.3462445631 -0.01243689 2
-19.8917225 -21.4767324 0.3719530595 -0.05311941 2.05-22.5707367 -23.6306794 0.3891541633 -0.08127706 2.1-24.1334909 -24.6163476 0.3970036862 -0.09552709 2.15-24.503501 -24.385783 0.3951197684 -0.09517436 2.2-23.663231 -22.9511222 0.3836014503 -0.08024531 2.25
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13.0092078 14.995738 0.0798797499 0.37317086 18.216.6611463 18.2802332 0.0536221141 0.41435226 18.2519.4880567 20.6599719 0.0346092358 0.44492293 18.321.3508472 22.0179944 0.0237755532 0.46337974 18.3522.1581232 22.2878682 0.0216510158 0.46881873 18.421.8706705 21.4569378 0.0283351641 0.46097934 18.45
20.50336 19.5669164 0.0434924795 0.44025689 18.518.1243798 16.711792 0.0663692214 0.40768267 18.5514.851835 13.0331545 0.0958309078 0.3648726 18.6
10.8478846 8.71317364 0.1304185736 0.31394708 18.656.3107064 3.96557796 0.1684210188 0.25742597 18.71.464688 -0.97491895 0.2079594683 0.19810388 18.75
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