Problem 1: Baseball bounces A baseball player throws a baseball to a catcher. The ball bounces once before reaching the catcher. Assume the angle at which the bounced ball leaves the ground is the same as the angle at which the player threw it as shown in the figure below, but that the ball's speed after the bounce is one-half of what it was before the bounce. Assume the ball is always thrown with the same initial speed and ignore air resistance. 0:45° a) At what angle should the player throw the ball to make it go the same distance D with one bounce (blue-dashed path) as a ball thrown upward at 45° with no bounce (dotted-purple path)? A

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Problem 1: Baseball bounces A baseball player throws a baseball to a catcher. The ball bounces
once before reaching the catcher. Assume the angle at which the bounced ball leaves the ground is the
same as the angle at which the player threw it as shown in the figure below, but that the ball's speed
after the bounce is one-half of what it was before the bounce. Assume the ball is always thrown with the
same initial speed and ignore air resistance.
J0:45°
a) At what angle should the player throw the ball to make it go the same distance D with one bounce
(blue-dashed path) as a ball thrown upward at 45° with no bounce (dotted-purple path)?
Transcribed Image Text:Problem 1: Baseball bounces A baseball player throws a baseball to a catcher. The ball bounces once before reaching the catcher. Assume the angle at which the bounced ball leaves the ground is the same as the angle at which the player threw it as shown in the figure below, but that the ball's speed after the bounce is one-half of what it was before the bounce. Assume the ball is always thrown with the same initial speed and ignore air resistance. J0:45° a) At what angle should the player throw the ball to make it go the same distance D with one bounce (blue-dashed path) as a ball thrown upward at 45° with no bounce (dotted-purple path)?
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