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Math Help - Derivative Problem

  1. #1
    Junior Member
    Joined
    Jun 2007
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    52

    Derivative Problem

    The height of a soccer ball after it is kicked into the air is given by h(t)=-4.9t^2+3.5t+1, where h is the height in metres and t is the time in seconds

    a)determine the rate of change of the height of the soccer ball at time t.
    -9.8x+3.5 didnt have problem with that

    b) Determine the rate of change of the height of the soccer ball at 0.5s
    -9.8(0.5)+3.5= -1.4m/s no problem with that

    c) When does the ball momentarily stop?
    What is the height of the ball at this time?

    ...... have no clue......
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  2. #2
    Junior Member
    Joined
    Nov 2009
    Posts
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    The ball momentarily stops when the velocity is 0. So set h'(t) = 0 and solve for t to find the time when the ball stops. Then plug the value you got for t into h(t) to get the height.
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