A man is standing on a rail road car travelling with a constant speed of v = 10 m/s (Fig . 5.34). He wishes to throw a ball through a stationary hoop 5 m above the height of his hands in such a manner that the ball will move horizontally as it passes through the hoop. He throws the ball with a speed of 12.5 m/s w.r.t. himself. (a) What must be the vertical component of the initial velocity of the ball ? (b) How many seconds after he releases the ball will it pass through the hoop ? ( c) At what horizontal distance in front of the loop must he release the ball ?