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anonymous

  • 5 years ago

A ball is dropped from a height of 3 ft. The elasticity of the ball is such that it always bounces up one-third the distance it has fallen. (a) Find the total distance the ball has traveled at the instant it hits the ground the fourth time. (Enter your answer as an improper fraction.) Can someone show me how to do this?

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  1. anonymous
    • 5 years ago
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    Think of this one in steps. First it falls 3ft to reach the ground. Then bounces up 1/3 of that which is 1 ft. It falls another 1ft back to the ground. Then bounces up 1/3 of that which is 1/3ft. So add up all the distances it has traveled like that until it falls to the ground the fourth time.

  2. anonymous
    • 5 years ago
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    It is also a geometric series.

  3. anonymous
    • 5 years ago
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    I think the formula is a^n=5n but im not sure...

  4. anonymous
    • 5 years ago
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    i mean 3n

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