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To test the quality of a tennis ball, yo...

To test the quality of a tennis ball, you drop it onto the floor from a height of 4.00 m. It rebounds to a height of 2.00 m. If the ball is in contact with the floor for 12.0 ms, what is its average acceleration during that contact? Take `g= 98 m//s^2.`

Text Solution

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The correct Answer is:
A, B, C, D
`a_(av)=(Deltav)/(Deltat)=(v_f-v_i)/(Deltat)`
`=(sqrt(2gh_f)+sqrt(2gh_i))/(Deltat)`
`=(sqrt(2xx9.8xx2)+sqrt(2xx9.8xx4))/(12xx10^-3)`
`=1.26xx10^3 m//s^2`
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Knowledge Check

  • A ball is dropped onto the floor from a height of 10 m. It rebounds to a height of 5 m. If the ball was in contact with the floor for 0.01 s , what was its average acceleration during contact ? (Take g=10 ms^(-2) )

    A
    `2414 ms^(-2)`
    B
    `1735 ms^(-2)`
    C
    `3120 ms^(-2)`
    D
    `4105 ms^(-2)`

  • A tennis ballis dropped on to the floor from a height of 4m. It rebounds to a height of 2m. If the ball is in contact with the floor for 1 2xx10^(-3)s , its average acceleration during

    A
    0
    B
    `1260ms^(-2)`
    C
    `980ms^(-2)`
    D
    `600ms^(-2)`

  • A tennis ball is dropped on the floor from a height of 20m. It rebounds to a height of 5m. If the ball was in contact with the floor for 0.01s. What was its average acceleration during contact? (g=10m//s^(2))

    A
    300 `m//s^(2)`
    B
    `2000 m//s^(2)`
    C
    `1000 m//s^(2)`
    D
    `500m//s^(2)`

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