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anonymous

  • 4 years ago

A ball is dropped from a height of 10 m. It rebounds 1/2 the distance on each bounce. What is the total distance the ball travels? (Round your answer to the nearest whole number)

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  1. anonymous
    • 4 years ago
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    this can be seen as a geometric series with a starting term of 10, and a common ratio of 1/2

  2. anonymous
    • 4 years ago
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    S=u1/(1-r) =10/(1-1/2) =10/0.5 =20

  3. anonymous
    • 4 years ago
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    20m using the formula for geometric infinite series

  4. anonymous
    • 4 years ago
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    so the \[Sum _{\infty} = \frac{10}{1 - \frac{1}{2}}\] which is 20

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