# A rubber ball keeps on bouncing back to 2/3 of the height from which it is dropped. Can......................

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A rubber ball keeps on bouncing back to 2/3 of the height from which it is dropped. Can you calculate the fraction of its original height that the ball will bounce after it is dropped and it has bounced four times without any hindrance ?

posted Aug 26, 2014

16/81

1 bounce, results in =2/3 of the original height
4 bounces result in =(2/3)^4 =16/81 or original height

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