Problem 10. When baseball players throw the ball from the outfield, they usually allow it to take one bounce before it reaches the infield because they think that the ball will arrive sooner that way.Suppose that the angle at which a bounced ball leaves the ground is the same as the angle at which it is thrown but the ball's speed after the bounce is one-half of what it was just before the bounce.(a) Assume that the ball is always thrown with the same initial speed. At what angle 0 should the fielder throw the ball to make it go the same distance D with one bounce as a ball thrown upwards at 45° with no bounce? (b) Determine the ratio of the time intervals for the two paths. Is it better to throw the ball on a bounce?

Fig: 1