SOLUTION: Suppose a ball rebounds 2/3 the distance it falls. If it is dropped from a height of 20 m, how far does it travel before coming to rest?

Question 1012049: Suppose a ball rebounds 2/3 the distance it falls. If it is dropped from a height of 20 m, how far does it travel before coming to rest?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Suppose a ball rebounds 2/3 the distance it falls. If it is dropped from a height of 20 m, how far does it travel before coming to rest?
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20+ 20(2/3) + 20(2/3)^2 + ... + 20(2/3)^(n+1)
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Geometric Series with a = 20 and r = (2/3)
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Sum = a/(1-r) = 20/(1/3) = 60 m
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Cheers,
Stan H.
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