Question 1088533
A ball is dropped from a height of 30 m above the ground. It falls vertically
and bounces off the ground. After each bounce it rises vertically to 80% of
the height from which it fell. Write an expression for the total distance traveled by the ball from the initial drop to the 𝑛th impact with the ground.
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1st impact:: 30m
2nd impact:: 2*0.8*30m
3rd impact:: 2*0.8*30m + 0.8[2*0.8*30m] = 2*0.8*30m(1+0.8)
4th impact:: 2*0.8*30m(1+0.8)^2
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nth impact:: 2*0.8*30m(1+0.8)^(n-2)
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Cheers,
Stan H.
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