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Math Help - Distance between Ball thrown downwards and it's starting point?

  1. #1
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    Distance between Ball thrown downwards and it's starting point?

    A tennis ball is thrown down from the top of a 120m building with an initial velocity of 8m/s. What is the distance of the ball from the top of the roof 2 seconds after it was thrown?
    Acceleration due to gravity is 9.8m/s^2

    Please don't use a physics formula to solve this question. Use derivatives.
    Show clear steps please.

    Thank you so much!
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  2. #2
    Master Of Puppets
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    You could start by saying

     a = -9.8 \implies v = \int a ~dt = v = \int -9.8 ~dt = -9.8t+c

    You are told your initial velocity is v_0 = -8 therefore
      v  = -9.8t-8

    Now do the same to find the distance x = \int v ~dt

    After you have this find x(2)
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