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A ball is dropped from a height of 8 meters. Each time it
hits the ground, it rebounds 3/4 of the distance it has
fallen. In theory, how far will the ball travel before
coming to rest?
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Answer / hemant gakkhar
solution results in an infinite geometric progression....
8 + 2*8*3/4 + 2*8*(3/4)exp2 + 2*8*(3/4)exp3...sum up to infinity.......
theoretically the process continues till infinite
8 + 2*8*3/4 { 1 + 3/4 +(3/4)exp2 + ....up to infinity }
8 + 2*8*3/4 { 1/(1-1/4) }
8 + 48
56
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