A particular rubber ball rebounds to one-half its original height when dropped on a floor . a.

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A particular rubber ball rebounds to one-half its original height when dropped on a floor .

a. If the ball is initially dropped from a height h and is allowed to continue to bounce, find the expression for the total distance traveled by the ball after the ball hits the floor for the nth time.

b. If it is initially dropped from a height of 10 ft, how far will the ball have traveled after it hits the floor for the eighth time?

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