A tennis player serves a tennis ball horizontally from a height of 2.50 m above the level court. The moment the ball leaves the racket, it is 15.0 m from the net, and in order for the serve to "count" it must land in the far box that is exactly 7.00 m from the net, which is 0.900 m high. Neglect air resistance and assume the ball travels in the plane of the page.
a) Calculate how much time it takes for the ball to reach the top of the net.
b) Calculate the magnitude of the ball's initial velocity such that it just clears the top of the net.
c) Calculate the amount of time the ball is completely airborne up to the moment it strikes the ground on the other side of the net.
d) By how much does the ball land inside or outside of the 7.00 m mark on the right of the net? That is, does the serve "count?" Show work!