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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…

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…
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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?

asked
User Itaysk
by
8.8k points

1 Answer

4 votes
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
answered
User Tehtmi
by
8.5k points
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