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30 August, 05:45

Rita hits a tennis ball with an initial vertical velocity of 15 m/s. when she hits the ball, it is 1 m above the ground. how long will it take for the ball to hit the ground?

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  1. 30 August, 05:55
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    We can use the equations of motion under constant acceleration. Here the acceleration is due to gravity and equal to 9.81 m s^-2.

    s = ut + 0.5gt^2

    s = displacement = - 1, u = 15 m/s and g = - 9.81 ms-2

    -1 = 15t + 0.5*-9.81*t^2

    -4.9t^2 + 15t + 1 = 0

    solving for t we get t = 3.13 seconds
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