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3 August, 12:35

A juggler tosses balls vertically to height H. To what height must they be tossed if they are to spend twice as much time in the air?

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  1. 3 August, 12:55
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    The ball must be tossed to a height of 4 times the initial height H

    Explanation:

    We have equation of motion S = ut + 0.5at²

    A juggler tosses balls vertically to height H.

    That is

    H = 0 x t + 0.5 x a x t²

    H = 0.5at²

    To what height must they be tossed if they are to spend twice as much time in the air.

    H' = 0 x 2t + 0.5 x a x (2t) ²

    H' = 2at² = 4 H

    So the ball must be tossed to a height of 4 times the initial height H
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