SOLUTION: A certain ball dropped from a height will bounce half the height of its previous bounce for the first two bounces. When the ball hits the floor the third time, it will have trave

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Question 1025209: A certain ball dropped from a height will bounce half the height of its previous bounce for the first two bounces. When the ball hits the floor the third time, it will have traveled a total of 35 feet. What height was the bomb dropped?
Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
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A certain ball dropped from a height will bounce half the height of its previous bounce for the first two bounces.
When the ball hits the floor the third time, it will have traveled a total of 35 feet. What height was the bomb dropped?
~~~~~~~~~~~~~~~~~~~~~~~~~~~~ 

Your guiding equation is

 = .

Simplify it:

 = ,   or

2.5x = 35.

Hence, x =  = 14 feet.


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