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Abhisar

  • one year ago

A ball is dropped from height h on the ground level. If the coefficient of restitution is e then the height upto which the ball will go after \(\sf n^{th}\) jump will be

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  1. Abhisar
    • one year ago
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    @IrishBoy123

  2. Abhisar
    • one year ago
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    @radar

  3. Abhisar
    • one year ago
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    @iambatman

  4. anonymous
    • one year ago
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    \[v= \sqrt{2gh}\] \[e = \frac{ v' }{ v _{0} } = \sqrt{\frac{ H }{ h }}\] thus \[H = e ^{2}*h\] let's us now use the new height to make the same calculation \[H _{1}= e ^{2}*H = e ^{2}*e ^{2}*h = e ^{4}*h\] that is enough to get the pattern \[H _{n} = e ^{2*n} * h\]

  5. Abhisar
    • one year ago
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    Thanks @catch.me

  6. anonymous
    • one year ago
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    you are welcome :)

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