Question 245877: A special rubber ball is dropped from the top of a wall that is sixteen feet high. Each time the ball hits the ground it bounces back only half as high as the distance it fell. The ball is caught when it bounces back to a high point of one foot. How many times does the ball hit the ground?
Found 2 solutions by stanbon, solver91311:
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! A special rubber ball is dropped from the top of a wall that is sixteen feet high. Each time the ball hits the ground it bounces back only half as high as the distance it fell. The ball is caught when it bounces back to a high point of one foot. How many times does the ball hit the ground?
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Sequence of falls: 16,8,4,2,caught at 1'
The ball hits the ground 4 times.
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Cheers,
Stan H.
Answer by solver91311(24713)  (Show Source):
You can put this solution on YOUR website!
Height after 1 bounce, 16/2 = 8
Height after 2 bounces, 8/2 = 4
Height after 3 bounces, 4/2 = 2
Height after 4 bounces, 2/2 = 1
John
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