A ball is dropped from a height of 20 feet. Each time it strikes the ground, it
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A ball is dropped from a height of 20 feet. Each time it strikes the ground, it bounces up to threequarters of the previous height.
(a) What height will the ball bounce up to after it strikes the ground for the third time?
(b) How high will it bounce after it strikes the ground for the nth time?
(c) How many times does the ball need to strike the ground before its bounce is less than 6 inches?
(d) What total distance does the ball travel before it stops bouncing?
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