2008 AMC 8 Problems/Problem 12
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Problem
A ball is dropped from a height of meters. On its first bounce it rises to a height of meters. It keeps falling and bouncing to of the height it reached in the previous bounce. On which bounce will it not rise to a height of meters?
Solution
Each bounce is times the height of the previous bounce. The first bounce reaches meters, the second , the third , the fourth , and the fifth . Half of is , so the ball does not reach the required height on bounce .
See Also
2008 AMC 8 (Problems • Answer Key • Resources) | ||
Preceded by Problem 11 |
Followed by Problem 13 | |
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All AJHSME/AMC 8 Problems and Solutions |
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