Write a Python program (using numpy and matplotlib.pyplot) where you use the Euler-Cromer method to find the velocity as a function of time, v(t), and the position as a function of time x(t) for the sprinter. The sprinter starts at rest at the time t = t0 = 0 s. Plot the position, velocity and acceleration of the sprinter as a function of time. How did you determine the size of the time step ∆t? Include the code you used to solve the problems and plots.