A ball is dropped from a height h on a floor of coefficient of restitution e. the total distance coverd by the ball just before second hit is
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e = sqrt (h1/h)
Hence
e² = h1/ h
h1 = e² *h
Before 2nd hit
Distance traveled = h + 2 h1
= h + 2 e²h
= h( 1 +2 e²)
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