5. A wireless activated toy car moves on a flat surface in a closed path given by x = A cos wt, and y = B sin wt, B > A. (i) Find the shape of the closed path by relating x to y through elimination of the functions sin wt and cos wt using the trigonometric relation sin wt + cos wt = 1. (ii) Find the velocity at time t. Evaluate it at time t = 2n. (iii) Find the acceleration vector at time t. Evaluate it at time t = 21. (iv) Hence, find the radius of curvature, p, at t = 21, given that the centripetal acceleration, a, is given by a = v2/p, where v is the speed at the time