It's the bottom of the ninth with two outs and the winning runs on base. You hit

Question:

It's the bottom of the ninth with two outs and the winning runs on base. You hit a knee-high fastball that just clears the leaping third baseman's glove. He is standing 28 m from you and his glove reaches to 3.2 m above the ground. The flight time to that point is 0.64 s. Assume that the ball's initial height was 0.6 m. Find

(a) The initial speed and direction of the ball;

(b) The time at which the ball reaches its maximum height;