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21 October, 12:27

The height of a soccer ball can be modeled by the function h (t) = - 8t2 + 32t. Where h (t) is the height in feet and t is the in seconds. Find the time when the soccer ball reaches its maximum height

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4 sec

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  1. 21 October, 12:38
    0
    2 seconds

    Step-by-step explanation:

    We want to find when h (t) = 0

    0 = - 8t^2 + 32t

    factor out a - 8t

    0 = - 8t (t-4)

    Using the zero product property

    -8t = 0 and t-4=0

    t = 0 and t=4

    t=0 is when it is dropped and t=4 is when it lands

    The maximum height is halfway in between

    (0+4) / 2

    2 seconds
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