When baseball outfielders throw the ball, they usually allow it to take one bounce, on the theory that the ball arrives at its target sooner that way. Suppose that, after the bounce, the ball rebounds at the same angle ? that it had when it was released, but loses half its speed.
(a) Assuming the ball is always thrown with the same initial speed, at what angle should the ball be thrown in order to go the same distance D with one bounce (blue path) as a ball thrown upward at = 34.4° with no bounce?
(b) Determine the ratio of the times for the one-bounce and no-bounce throws.