A small cart A starts moving on a horizontal surface, assumed to be x-y plane along a straight line parallel to x-axis (see figure) with a constant acceleration of `4 m//s^(2)`. Initially it is located on the positive y-axis at a distance 9 m from origin. At the instant the cart starts moving, a ball is rolled along the surface from the origin in a direction making an angle `45°` with the x-axis. The ball moves without friction at a constant velocity and hits the cart.
(a) Describe the path of the ball in a reference frame attached to the cart.
(b) Find the speed of the ball.

Answer

(a) Parabolic path (b) `6m//s`