Python Programming

In the on-line resources you will find a file called velocities.txt, which contains two columns of numbers, the first representing time t in seconds and the second the x-velocity in meters per second of a particle, measured once every second from time t = 0 to t = 100. The first few lines look like this:

00

1 0.069478

2 0.137694

3 0.204332

4 0.269083

5 0.331656

Write a program to do the following:

a) Read in the data and, using the trapezoidal rule, calculate from them the approximate distance traveled by the particle in the x direction as a function of time. See Section 2.4.3 on page 57 if you want a reminder of how to read data from a file.

b) Extend your program to make a graph that shows, on the same plot, both the original velocity curve and the distance traveled as a function of time.