Taller No 1

g (m/s2) 9.8C (kg/s) 12.5m (kg) 68.1

METODO ANALITICO DIFERENCIAS FINITAS

t (s) v (m/s) v (m/s)0 0 1.961 8.95318220790126 9.269793403220412 16.4049808028706 15.35378755711613 22.6071669095023 20.41754009057754 27.7692914638702 24.63213811147115 32.06576523242 28.13997866259266 35.6417515631291 31.05957983715097 38.6180709651056 33.48958510513768 41.0952832258206 35.51209614325449 43.157084986936 37.1954467734749

10 44.8731375713484 38.59651173226111 46.3014206041826 39.762628275955212 47.4901909486417 40.733195546908713 48.4796131425477 41.541005737527914 49.3031164225182 42.213352027782915 49.9885241850477 42.772950729642516 50.5589940451709 43.238708794588917 51.0338002541171 43.626362615696218 51.4289849112087 43.949009707242419 51.7578999722548 44.21755122551220 52.031658367075 44.441060282075921 52.2595094678916 44.62708849360922 52.4491515944004 44.78192112553123 52.6069921140112 44.910789449912324 52.7383639251676 45.01804749250125 52.8477056379868 45.107319140558926 52.9387115399149 45.181620581780827 53.014456413232 45.243462211096928 53.0774994215673 45.294933448445629 53.1299705754014 45.337773333220630 53.1736426979315

ANALITICO ANALITICOdt 0.2 dt 0.5t (s) v (m/s) t (s) v (m/s)

0 0 0 00.2 1.92445973 0.5 4.681870640.4 3.7795522 0.7 6.437572090.6 5.56777777 0.9 8.12998920.8 7.29154666 1.1 9.76140304

1 8.95318221 1.3 11.33401251.2 10.554924 1.5 12.84993721.4 12.098931 1.7 14.31122021.6 13.5872841 1.9 15.71983131.8 15.0219895 2.1 17.0776689

2 16.4049808 2.3 18.38656312.2 17.7381221 2.5 19.64827832.4 19.0232103 2.7 20.86451482.6 20.2619775 2.9 22.0369122.8 21.4560932 3.1 23.1670501

3 22.6071669 3.3 24.25645233.2 23.7167501 3.5 25.30658693.4 24.7863384 3.7 26.31886943.6 25.8173733 3.9 27.29466413.8 26.8112444 4.1 28.2352863

4 27.7692915 4.3 29.14200374.2 28.6928056 4.5 30.01603844.4 29.5830317 4.7 30.85856844.6 30.4411695 4.9 31.67072954.8 31.2683757 5.1 32.4536161

5 32.0657652 5.3 33.20828365.2 32.8344128 5.5 33.9357495.4 33.5753544 5.7 34.63699295.6 34.2895888 5.9 35.31296045.8 34.9780785 6.1 35.9645627

6 35.6417516 6.3 36.59267796.2 36.2815025 6.5 37.19815266.4 36.8981936 6.7 37.7818036.6 37.492656 6.9 38.34441576.8 38.065691 7.1 38.886749

7 38.618071 7.3 39.40953387.2 39.1505403 7.5 39.91347497.4 39.6638168 7.7 40.39925137.6 40.1585922 7.9 40.8675187.8 40.6355334 8.1 41.3189059

8 41.0952832 8.3 41.75402358.2 41.5384613 8.5 42.17345738.4 41.9656651 8.7 42.5777726

8.6 42.3774702 8.9 42.96751438.8 42.7744319 9.1 43.3432078

9 43.157085 9.3 43.70535939.2 43.5259454 9.5 44.05445719.4 43.8815101 9.7 44.39097179.6 44.2242586 9.9 44.71535659.8 44.5546526 10.1 45.028048910 44.8731376 10.3 45.3294703

10.2 45.1801427 10.5 45.620026910.4 45.4760819 10.7 45.900110410.6 45.7613539 10.9 46.170098310.8 46.0363432 11.1 46.4303544

11 46.3014206 11.3 46.681229611.2 46.5569432 11.5 46.92306211.4 46.8032555 11.7 47.156177611.6 47.0406895 11.9 47.380890411.8 47.2695651 12.1 47.5975035

12 47.4901909 12.3 47.806308812.5 48.0075876

ANALITICOdt 0.8 dt 1t (s) v (m/s) t (s) v (m/s)

0 0 0 00.8 7.29154666 1 8.95318221

1 8.95318221 1.2 10.5549241.2 10.554924 1.4 12.0989311.4 12.098931 1.6 13.58728411.6 13.5872841 1.8 15.02198951.8 15.0219895 2 16.4049808

2 16.4049808 2.2 17.73812212.2 17.7381221 2.4 19.02321032.4 19.0232103 2.6 20.26197752.6 20.2619775 2.8 21.45609322.8 21.4560932 3 22.6071669

3 22.6071669 3.2 23.71675013.2 23.7167501 3.4 24.78633843.4 24.7863384 3.6 25.81737333.6 25.8173733 3.8 26.81124443.8 26.8112444 4 27.7692915

4 27.7692915 4.2 28.69280564.2 28.6928056 4.4 29.58303174.4 29.5830317 4.6 30.44116954.6 30.4411695 4.8 31.26837574.8 31.2683757 5 32.0657652

5 32.0657652 5.2 32.83441285.2 32.8344128 5.4 33.57535445.4 33.5753544 5.6 34.28958885.6 34.2895888 5.8 34.97807855.8 34.9780785 6 35.6417516

6 35.6417516 6.2 36.28150256.2 36.2815025 6.4 36.89819366.4 36.8981936 6.6 37.4926566.6 37.492656 6.8 38.0656916.8 38.065691 7 38.618071

7 38.618071 7.2 39.15054037.2 39.1505403 7.4 39.66381687.4 39.6638168 7.6 40.15859227.6 40.1585922 7.8 40.63553347.8 40.6355334 8 41.0952832

8 41.0952832 8.2 41.53846138.2 41.5384613 8.4 41.96566518.4 41.9656651 8.6 42.37747028.6 42.3774702 8.8 42.77443198.8 42.7744319 9 43.157085

9 43.157085 9.2 43.5259454

0 5 10 15 20 25 30 350

10

20

30

40

50

60

METODO ANALITICO

9.2 43.5259454 9.4 43.88151019.4 43.8815101 9.6 44.22425869.6 44.2242586 9.8 44.55465269.8 44.5546526 10 44.873137610 44.8731376 10.2 45.1801427

10.2 45.1801427 10.4 45.476081910.4 45.4760819 10.6 45.761353910.6 45.7613539 10.8 46.036343210.8 46.0363432 11 46.3014206

11 46.3014206 11.2 46.556943211.2 46.5569432 11.4 46.803255511.4 46.803255511.6 47.040689511.8 47.2695651

12 47.4901909

0 5 10 15 20 25 30 350

10

20

30

40

50

60

METODO ANALITICO