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    kausthub8's Avatar
    kausthub8 Posts: 1, Reputation: 1
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    #1

    Jul 4, 2014, 08:43 AM
    Physics help on coefficient of restitution
    A ball is projected with an initial velocity u with an angle X to the horizontal surface. If e is the coefficient of restitution, then find
    a) Total time taken by the ball to settle on the surface
    b) Total horizontal distance / range covered by the ball before it settles on the ground
    c) Sum of maximum heights reached by the ball before it settles on the surface
    I have tried the first question by adding all the times of flight and got the answer as
    (2u sin X) / (g - ge) but I couldn't get the answers to the second and third questions. Please explain with solutions and give the final answer in terms of u, e, X and g.
    ebaines's Avatar
    ebaines Posts: 12,131, Reputation: 1307
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    #2

    Jul 4, 2014, 07:35 PM
    The horizontal distance covered is horizontal velocity ucosX times the time that you found in the first part. As for sum of heights: the height of each bounce is vertical velocity squared divided by 2g. Do the infinite sum like you did for the first part.
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