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24 May, 01:11

Amir stands on a balcony and throws a ball to his dog who is at ground level. The ball's height, in meters above the ground, after t seconds that Amir has thrown the ball is given by:

H (t) = - (t-2) ^2+9

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  1. 24 May, 01:29
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    Time t = 2 seconds

    It will reach the maximum height after 2 seconds

    Completed question;

    Amir stands on a balcony and throws a ball to his dog who is at ground level. The ball's height, in meters above the ground, after t seconds that Amir has thrown the ball is given by:

    H (t) = - (t-2) ^2+9

    many seconds after being thrown will the ball reach its maximum height?

    Step-by-step explanation:

    The equation of the height!

    h (t) = - (t-2) ^2 + 9 = - (t^2 - 4t + 4) + 9

    h (t) = - t^2 + 4t - 4+9

    h (t) = - t^2 + 4t + 5

    The maximum height is at dh/dt = 0

    dh/dt = - 2t + 4 = 0

    2t = 4

    t = 4/2 = 2

    Time t = 2 seconds

    It will reach the maximum height after 2 seconds
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