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13 May, 09:17

A ball is dropped from a height of 20m and renounce with the velocity which is 3/4 of d velocity with which it hits the ground. What is d tym interval btw the first and second bounces

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  1. 13 May, 09:29
    0
    1.73 seconds

    Explanation:

    The velocity the ball first hits the ground with is:

    v² = v₀² + 2aΔx

    v² = (0 m/s) ² + 2 (-10 m/s²) (-20 m)

    v = - 20 m/s

    The velocity it rebounds with is 3/4 of that in the opposite direction, or 15 m/s.

    The time it takes to return to the ground is:

    Δx = v₀ t + ½ at²

    0 = (15 m/s) t + ½ (-10 m/s²) t²

    0 = t (15 - 5t²)

    t = √3

    t ≈ 1.73 seconds
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