A basketball is dropped from an original height of 9 feet and on each bounce, bounces up 2/3 the distance it fell. How far will it have traveled by the time it hits the ground the 4th time?

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asked Jul 21, 2017 52.4k views

5 votes

A basketball is dropped from an original height of 9 feet and on each bounce, bounces up 2/3 the distance it fell.

How far will it have traveled by the time it hits the ground the 4th time?

Mathematics
high-school

Itaysk asked

by Itaysk

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1 Answer

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1st - 2/3 x 9 = 6

2nd - 2/3 x 6 = 2

3rd - 2/3 x 2 = 2/3 x 6/3 = 12/9 = 4/3

4th - 2/3 x 4/3 = 8/9 ft

Tehtmi answered Jul 27, 2017

by Tehtmi

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