## A ball is dropped from a height of 12 feet and returns to a height that is one- half of the height from which it fell. The ball contin

Question

A ball is dropped from a height of 12 feet and returns to a height that is one-

half of the height from which it fell. The ball continues to bounce half the

height of the previous bounce each time. How far will the ball have traveled

vertically when it hits the ground for the fifth time? It might be helpful to

sketch the path of the ball.

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Math
2 months
2021-10-03T17:34:58+00:00
2021-10-03T17:34:58+00:00 2 Answers
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## Answers ( )

Answer:

0.375ft

Step-by-step explanation:

Initial height: 12ft

First bounce: 12/2=12/2¹

Second bounce: (12/2¹)/2=12/2²

Third bounce: (12/2²)/2=12/2³

….

Fifth bounce: (12/2⁴)/2=12/2⁵

12/2⁵=12/32=0.375ft

Answer:0.375

Step-by-step explanation: