SOLUTION: A super ball is dropped from 100 feet and rebounds half the distance it falls each time it bounces. How many feet will the ball have traveled when it hits the ground the fourth tim

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Question 1037301: A super ball is dropped from 100 feet and rebounds half the distance it falls each time it bounces. How many feet will the ball have traveled when it hits the ground the fourth time?
Answer 275 ft (How?)

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
A super ball is dropped from 100 feet and rebounds half the distance it falls each time it bounces. How many feet will the ball have traveled when it hits the ground the fourth time?
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Falls 100 ft
1st impact
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Bounces up 50, falls 50 feet
2nd impact, 100 + 50 + 50 = 200 feet so far.
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Bounces up 25, falls 25 feet
3rd impact, 200 + 25 + 25 = 250 feet so far.
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Bounces up 12.5, falls 12.5 feet
4th impact, 250 + 12.5 + 12.5 = 275 feet.