A ball of mass m = 2 kg has its initial position on the x-y plane as (2, 3, 0). Due to an external force, it moves parallel to the y-axis with a speed of 5 m/s. Write the three components of the position vector (r) and the velocity vector (v) of the ball in terms of MATLAB arrays. Now, if the angular momentum vector P is given as P = m(r v), then calculate the following using MATLAB:

(a) Matrix R giving the position vectors in five different rows for t = 0 to 5 s

(b) What is the location of the ball at t = 3.5 s?

(c) Compute the angular momentum vector P. What is its direction?