Homework Soursets vms ts vms 0 0 30 1057 05 461 35 1067 10 733 40 1079 15 8
t(s) v(m/s) t(s) v(m/s)
0 0 3.0 10.57
0.5 4.61 3.5 10.67
1.0 7.33 4.0 10.79
1.5 8.81 4.5 10.87
2.0 9.79 5.0 10.87
2.5 10.21
Solution
To get the distance covered, integrate the velocity function :
x = int[v(t)] dt
We can use Simpson\'s Rule to approximate this integral for the given data points.
x = (t/3)[v0 + 4v1 + 2v2 + 4v3 + 2v4 + 4v5 + 2v6 + 4v7 + 2v8 + 4v9 + v10]
x = (0.5/3)[0 + 4(4.61) + 2(7.33) + 4(8.81) + 2(9.79) + 4(10.21) + 2(10.57) + 4(10.67) + 2(10.79) + 4(10.87) + 10.87]
x = 44.7516 m
