PRÁCTICA 2- APLICACIÓN DE MÉTODO GRÁFICO

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Hoja1
	Práctica #2
	Ejemplo de física 
	un paraciadista tiene una masa de 225.11lb, salta de un aeroplano. Determine el modelo matemático que nos describa la velocidad del paracaídista antes de que habra su paracaídas, sabiendo que su coeficinte de fricción es de 35.828Lb/seg. Aplicando losmode,los de la ecuación diferencial y posteriormente el método gráfico.
	DATOS 
		masa 	225.21
		grav (d)	32.17
		coef. K	35.88
	MÉTODO DE LA EC. DIFERENCIAL				v=(mg/k)(1-expt(-k/m)t)							MÉTODO ALGEBRAICO 		vf=vi+[g-(kvi/m)](tf-ti)
			v(t)=(mg/k)(1-expt(-k/m)t)
	tabulación 
		x1	0									x1	0
		x2	10									x2	10
		Δ	1									Δ	1
		t	v(t) EC. DIF								ti	tf	V(T) ALJ
		0	0								0	1	0
		1	29.7382092293								1	2	32.17
		2	55.0967288963								2	3	59.2147409085
		3	76.7205770151								3	4	81.9507685991
		4	95.1597766848								4	5	101.0645385146
		5	110.8833464485								5	6	117.1331414101
		6	124.2912302257								6	7	130.6417271132
		7	135.724470265								7	8	141.998152366
		8	145.4738818774								8	9	151.5452950022
		9	153.7874506								9	10	159.5714062554
		10	160.8766399432								10	11	166.3188137575
		11	166.9217701659								11	12	171.9912379944
		12	172.0766048925								12	13	176.7599431174
		13	176.4722622365								13	14	180.7689078212
		14	180.220549914								14	15	184.1391724071
		15	183.4168091795								15	16	186.9724932811
		16	186.1423399208								16	17	189.3544152254
		17	188.4664685989								17	18	191.3568542011
		18	190.4483116325								18	19	193.0402686643
		19	192.1382790799								19	20	194.4554849528
		20	193.5793568672								20	21	195.6452318552
		21	194.8082001754								21	22	196.6454306964
		22	195.8560658004								22	23	197.4862798888
		23	196.7496071987								23	24	198.1931666948
		24	197.5115524439								24	25	198.78743373
		25	198.1612823364								25	26	199.2870233475
		26	198.7153233726								26	27	199.7070193614
		27	199.1877681122								27	28	200.060102463
		28	199.5906336353								28	29	200.3569330817
		29	199.934167209								29	30	200.6064732488
		30	200.2271069358								30	31	200.816257183
		31	200.4769040155								31	32	200.9926187668
		32	200.689912274								32	33	201.140882781
		33	200.8715497785								33	34	201.2655256735
		34	201.0264366513								34	35	201.3703107134
		35	201.158512587								35	36	201.4584016135
		36	201.2711370623								36	37	201.5324580502
		37	201.3671747878								37	38	201.5947159657
		38	201.449068574								38	39	201.6470550765
		39	201.5189014672								39	40	201.6910556265
		40	201.5784497333								40	41	201.7280460981
v(t)
v(t) EC. DIF	0	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15	16	17	18	19	20	21	22	23	24	25	26	27	28	29	30	31	32	33	34	35	36	37	38	39	40	0	29.738209229337606	55.096728896324301	76.720577015146446	95.159776684779644	110.88334644850958	124.29123022570182	135.72447026495666	145.47388187736803	153.78745059995887	160.87663994316534	166.9217701659141	172.07660489254042	176.47226223650253	180.2205499140	3465	183.41680917952033	186.14233992078118	188.46646859888114	190.44831163245772	192.13827907993448	193.57935686719838	194.80820017542084	195.85606580037788	196.7496071987153	197.51155244391359	198.16128233640714	198.71532337263648	199.18776811216969	199.59063363532968	199.93416720903676	200.22710693576806	200.47690401548698	200.68991227398556	200.87154977847379	201.02643665126115	201.15851258695204	201.27113706231717	201.36717478777354	201.44906857401253	201.51890146720828	201.57844973327403	t [seg]
v [m/seg]
V(T) ALJ	0	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15	16	17	18	19	20	21	22	23	24	25	26	27	28	29	30	31	32	33	34	35	36	37	38	39	40	0	32.17	59.214740908485417	81.950768599101039	101.06453851457661	117.133141410083	130.64172711323215	141.99815236600614	151.54529500224655	159.57140625538537	166.31881375752459	171.99123799437029	176.75994311741988	180.76890782123843	184.13917240706485	186.97249328106918	189.35441522536667	191.35685420105088	193.04026866429095	194.45548495275611	195.64523185518101	196.64543069642298	197.48627988878718	198.19316669483626	198.78743373000023	199.28702334754649	199.70701936144479	200.0601024630449	200.35693308169394	200.60647324877721	200.81625718303357	200.99261876676766	201.14088278101383	201.26552567350183	201.37031071339683	201.45840161346044	201.5324580501597	201.5947159657064	201.64705507653832	201.69105562648639	201.7280460981425	
COMPARACIÓN DE MÉTEDOS
v(t) EC. DIF	0	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15	16	17	18	19	20	21	22	23	24	25	26	27	28	29	30	31	32	33	34	35	36	37	38	39	40	0	29.738209229337606	55.096728896324301	76.720577015146446	95.159776684779644	110.88334644850958	124.29123022570182	135.72447026495666	145.47388187736803	153.78745059995887	160.87663994316534	166.9217701659141	172.07660489254042	176.47	226223650253	180.22054991403465	183.41680917952033	186.14233992078118	188.46646859888114	190.44831163245772	192.13827907993448	193.57935686719838	194.80820017542084	195.85606580037788	196.7496071987153	197.51155244391359	198.16128233640714	198.71532337263648	199.18776811216969	199.59063363532968	199.93416720903676	200.22710693576806	200.47690401548698	200.68991227398556	200.87154977847379	201.02643665126115	201.15851258695204	201.27113706231717	201.36717478777354	201.44906857401253	201.51890146720828	201.57844973327403	V(T) ALJ	0	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15	16	17	18	19	20	21	22	23	24	25	26	27	28	29	30	31	32	33	34	35	36	37	38	39	40	0	32.17	59.214740908485417	81.950768599101039	101.06453851457661	117.133141410083	130.64172711323215	141.99815236600614	151.54529500224655	159.57140625538537	166.31881375752459	171.99123799437029	176.75994311741988	180.76890782123843	184.13917240706485	186.97249328106918	189.35441522536667	191.35685420105088	193.04026866429095	194.45548495275611	195.64523185518101	196.64543069642298	197.48627988878718	198.19316669483626	198.78743373000023	199.28702334754649	199.70701936144479	200.0601024630449	200.35693308169394	200.60647324877721	200.81625718303357	200.99261876676766	201.14088278101383	201.26552567350183	201.37031071339683	201.45840161346044	201.5324580501597	201.5947159657064	201.64705507653832	201.69105562648639	201.7280460981425