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A Superball Is Dropped from a Height of 8 Ft 34t\frac { 3 } { 4 } t

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A superball is dropped from a height of 8 ft. Each time it strikes the ground after falling from a height of t ft. it rebounds to a height of 34t\frac { 3 } { 4 } t feet. How long does it take for the ball to come to rest? (Use g=32ft/s2g = 32 \mathrm { ft } / \mathrm { s } ^ { 2 } .)

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