A baseball player throwing the ball from the outfield usually allows it to take one bounce on the theory that the ball arrives sooner this way. Suppose that ball hits the ground at an angle θ and then bonuses but loses half of its speed.
A. Assuming that the ball is always at the same initial speed, at what angle θ should it be thrown in order to go the same distance D with one bounce as a ball thrown upward at 45° which reaches its target without bouncing
B. Determine the ration of the time for the one-bounce and the no-bounce throws.