The document contains data from two experiments measuring velocity (V) over time (t). The first experiment measures V(t) from 0 to 150 seconds. The second measures V(t) from 0 to 150 seconds with slightly different starting and ending V(t) values. Both experiments approach an asymptotic V(t) of 53.39.

1. t V(t) Tolerancia t V(t) Tolerancia
0 0 0 0
3 22.60716691 22.60716691 3 29.4 29.4
6 35.64175156 13.03458465 6 42.61 13.21
9 43.15708499 7.51533342 9 48.55 5.94
12 47.49019095 4.33310596 12 51.21 2.67
15 49.98852419 2.49833324 15 52.41 1.2
18 51.42898491 1.44046073 18 52.95 0.54 60
21 52.25950947 0.83052456 21 53.19 0.24
24 52.73836393 0.47885446 24 53.3 0.11
50
27 53.01445641 0.27609249 27 53.35 0.05
30 53.17364270 0.15918628 30 53.37 0.02
33 53.26542453 0.09178183 33 53.38 0.01 40
36 53.31834305 0.05291853 36 53.39 0
Velocidad
39 53.34885422 0.03051117 39 53.39 0 30
42 53.36644600 0.01759178 42 53.39 0
45 53.37658888 0.01014287 45 53.39 0 20
48 53.38243694 0.00584806 48 53.39 0
51 53.38580875 0.00337181 51 53.39 0 10
54 53.38775283 0.00194408 54 53.39 0
57 53.38887372 0.00112090 57 53.39 0 0
60 53.38952000 0.00064627 60 53.39 0 0 10
63 53.38989262 0.00037262 63 53.39 0
66 53.39010746 0.00021484 66 53.39 0
69 53.39023133 0.00012387 69 53.39 0
72 53.39030275 0.00007142 72 53.39 0
75 53.39034393 0.00004118 75 53.39 0
78 53.39036767 0.00002374 78 53.39 0
81 53.39038136 0.00001369 81 53.39 0
84 53.39038925 0.00000789 84 53.39 0
87 53.39039380 0.00000455 87 53.39 0
90 53.39039643 0.00000262 90 53.39 0
93 53.39039794 0.00000151 93 53.39 0
96 53.39039881 0.00000087 96 53.39 0
99 53.39039932 0.00000050 99 53.39 0
102 53.39039961 0.00000029 102 53.39 0
105 53.39039977 0.00000017 105 53.39 0
108 53.39039987 0.00000010 108 53.39 0
111 53.39039992 0.00000006 111 53.39 0
114 53.39039996 0.00000003 114 53.39 0
117 53.39039997 0.00000002 117 53.39 0
120 53.39039999 0.00000001 120 53.39 0
123 53.39039999 0.00000001 123 53.39 0
126 53.39040000 0.00000000 126 53.39 0
129 53.39040000 0.00000000 129 53.39 0
132 53.39040000 0.00000000 132 53.39 0
135 53.39040000 0.00000000 135 53.39 0
138 53.39040000 0.00000000 138 53.39 0
141 53.39040000 0.00000000 141 53.39 0
144 53.39040000 0.00000000 144 53.39 0
147 53.39040000 0.00000000 147 53.39 0
150 53.39040000 0.00000000 150 53.39 0

2. m= 68.1
C= 12.5
g= 9.8
Solución Analítica
60
50
40
Velocidad
30
Column B
Column E
20
10
0
0 10 20 30 40 50 60 70 80 90 100
Tiempo (t)

3. mn B
mn E
100

4. m 68.1
g 9.8
t 12 No. a b f(a) f(b)
V(t) 53.48 1 10 11 1.8 -1.54
2 10.5 11 0.09 -1.54
3 10.5 10.75 0.09 -0.74
4 10.5 10.63 0.09 -0.33
5 10.5 10.56 0.09 -0.12
6 10.5 10.53 0.09 -0.01
7 10.52 10.53 0.04 -0.01
8 10.52 10.53 0.01 -0.01
9 10.52 10.53 0.01 0
10 10.53 10.53 0.01 0
11 10.53 10.53 0 0
12 10.53 10.53 0 0
13 10.53 10.53 0 0
14 10.53 10.53 0 0
15 10.53 10.53 0 0
16 10.53 10.53 0 0
17 10.53 10.53 0 0
18 10.53 10.53 0 0
19 10.53 10.53 0 0
20 10.53 10.53 0 0
21 10.53 10.53 0 0
22 10.53 10.53 0 0
23 10.53 10.53 0 0
24 10.53 10.53 0 0
25 10.53 10.53 0 0
26 10.53 10.53 0 0
27 10.53 10.53 0 0
28 10.53 10.53 0 0
29 10.53 10.53 0 0
30 10.53 10.53 0 0
31 10.53 10.53 0 0
32 10.53 10.53 0 0

5. Xm f(Xm) Tolerancia f(a)*f(xm) n Funcion
10.5 0.09 0.16 10 1.8
10.75 -0.74 0.25 -0.07 10.05 1.63
10.63 -0.33 0.13 -0.03 10.1 1.45
10.56 -0.12 0.06 -0.01 10.15 1.28
10.53 -0.01 0.03 0 10.2 1.11
10.52 0.04 0.02 0 10.25 0.94
10.52 0.01 0.01 0 10.3 0.76
10.53 0 0 0 10.35 0.59
10.53 0.01 0 0 10.4 0.43
10.53 0 0 0 10.45 0.26
10.53 0 0 0 10.5 0.09
10.53 0 0 0 10.55 -0.08
10.53 0 0 0 10.6 -0.24
10.53 0 0 0 10.65 -0.41
10.53 0 0 0 10.7 -0.57
10.53 0 0 0 10.75 -0.74
10.53 0 0 0 10.8 -0.9
10.53 0 0 0 10.85 -1.06
10.53 0 0 0 10.9 -1.22
10.53 0 0 0 10.95 -1.38
10.53 0 0 0 11 -1.54
10.53 0 0 0 11.05 -1.7
10.53 0 0 0 11.1 -1.86
10.53 0 0 0 11.15 -2.01
10.53 0 0 0 11.2 -2.17
10.53 0 0 0 11.25 -2.33
10.53 0 0 0 11.3 -2.48
10.53 0 0 0 11.35 -2.64
10.53 0 0 0 11.4 -2.79
10.53 0 0 0 11.45 -2.94
10.53 0 0 0 11.5 -3.09
10.53 0 0 0 11.55 -3.25

6. 3
2
1
0
-1 Column N
-2
-3
-4
9.8 10 10.2 10.4 10.6 10.8 11 11.2 11.4 11.6 11.8

7. Interpolación Lineal
m 68.1
g 9.8
t 12 No. a b f(a) f(b) Xm
V(t) 53.48 1 10 11 1.8 -1.54 10.54
2 10 10.54 1.8 -0.04 10.53
3 10 10.53 1.8 0 10.53
4 10 10.53 1.8 0 10.53
5 10 10.53 1.8 0 10.53
6 10 10.53 1.8 0 10.53
7 10 10.53 1.8 0 10.53
8 10 10.53 1.8 0 10.53
9 10 10.53 1.8 0 10.53
10 10.53 10.53 0 0 10.53
11 10.53 10.53 0 0 10.53
12 10.53 10.53 0 0 10.53
13 10.53 10.53 0 0 10.53
14 10.53 10.53 0 0 10.53
15 10.53 10.53 0 0 10.53
16 10.53 10.53 0 0 10.53
17 10.53 10.53 0 0 10.53
18 10.53 10.53 0 0 10.53
19 10.53 10.53 0 0 10.53
20 10.53 10.53 0 0 10.53
21 10.53 10.53 0 0 10.53
22 10.53 10.53 0 0 10.53
23 10.53 10.53 0 0 10.53
24 10.53 10.53 0 0 10.53
25 10.53 10.53 0 0 10.53
26 10.53 10.53 0 0 10.53
27 10.53 10.53 0 0 10.53
28 10.53 10.53 0 0 10.53
29 10.53 10.53 0 0 10.53
30 10.53 10.53 0 0 10.53
31 10.53 10.53 0 0 10.53
32 10.53 10.53 0 0 10.53

8. f(Xm) Tolerancia fa*fxm n Funcion
-0.04 -0.07 10 1.8
0 0.01 0 10.05 1.63
0 0 0 10.1 1.45
0 0 0 10.15 1.28
0 0 0 10.2 1.11
0 0 0 10.25 0.94
0 0 0 10.3 0.76
0 0 0 10.35 0.59
0 0 0 10.4 0.43
0 0 0 10.45 0.26
0 0 0 10.5 0.09
0 0 0 10.55 -0.08
0 0 0 10.6 -0.24
0 0 0 10.65 -0.41
0 0 0 10.7 -0.57
0 0 0 10.75 -0.74
0 0 0 10.8 -0.9
0 0 0 10.85 -1.06
0 0 0 10.9 -1.22
0 0 0 10.95 -1.38
0 0 0 11 -1.54
0 0 0 11.05 -1.7
0 0 0 11.1 -1.86
0 0 0 11.15 -2.01
0 0 0 11.2 -2.17
0 0 0 11.25 -2.33
0 0 0 11.3 -2.48
0 0 0 11.35 -2.64
0 0 0 11.4 -2.79
0 0 0 11.45 -2.94
0 0 0 11.5 -3.09
0 0 0 11.55 -3.25

9. Xi F(Xi) F'(Xi) Tol X F(x) delta
0 1 -2 0 1 1
0.5 0.11 -1.61 0.5 1 -0.63
0.57 0 -1.57 0.07 2 -1.86
0.57 0 -1.57 0 3 -2.95
0.57 0 -1.57 0 4 -3.98
0.57 0 -1.57 0 5 -4.99
0.57 0 -1.57 0 6 -6
0.57 0 -1.57 0 7 -7
0.57 0 -1.57 0 8 -8
0.57 0 -1.57 0 9 -9
0.57 0 -1.57 0 10 -10
11 -11
12 -12
13 -13
14 -14
15 -15
16 -16
17 -17
18 -18
19 -19
20 -20
21 -21
22 -22
23 -23

10. 5
0
-5
-10
Column G
-15
-20
-25
0 5 10 15 20 25

11. Xi F(Xi) F'(Xi) Tol
0 1
0.2 0.62 -1.91 0.2
0.52 0.07 -1.7 0.32
0.56 0 -1.58 0.04
0.57 0 -1.57 0
0.57 0 -1.57 0
0.57 0 -1.57 0
0.57 0 -1.57 0
0.57 0 0

12. n x f(X) g(x)
1 -3 -42 5
2 -2 -17 1.83
3 -1 -4 0.67
4 0 3 0.5
5 1 10 0.33
6 2 23 -0.83
7 3 48 -4
8 4 91 -10.17
9 5 158 -20.33
10 6 255 -35.5
11 7 388 -56.67
500
400
300
200
100
0
-100
-4 -2 0 2

13. f(X)
n
g(x)
0 2 4 6 8