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14 October, 04:05

The height of a volleyball, h, in feet, is given by h = - 16t2 + 11t + 5.5, where t is the number of seconds after it has been hit by a player. The top of the net is 7.3 feet above the floor. Does the volleyball travel high enough to clear the top of the net?

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  1. 14 October, 06:51
    0
    It will travel high enough

    Step-by-step explanation:

    Find the vertex of the parabola:

    x=-b/2a

    x=-11/2 (-16)

    x=-11/-32

    x=11/32

    Plug x=11/32 into quadratic to get the y-coordinate:

    h=-16 (11/32) ^2+11 (11/32) + 5.5

    h=7.391

    Since 7.391>7.3, the volleyball will travel high enough (aka. yes)
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