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From height of 8mts a ball fell down and each time it
bounces half the distance back.What will be the distance
travelled?
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Answer Posted / bubba
This is an infinite sum of a geometric series problem.
Downs: 8 + 4 + 2 + ... = Sum 8(.5)^n = 8/(1-0.5) = 16 meters.
Ups: 4 + 2 + 1 + ... = Sum 4(0.5)^n = 4/(1-0.5) = 8 meters.
Hence the total travel is 22 meters.
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