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6 January, 22:59

When Joey dives off a diving board, the equation of his pathway can be modeled by h = - 16t2 + 15t + 12. A) Find Joey's maximum height. B) Find the time it will take for Joey to reach the water.

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  1. 7 January, 02:40
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    a) 15.52ft

    b) 0.47 secs

    Step-by-step explanation:

    h = - 16t^2 + 15t + 12

    The maximum height is reached after - b/2a seconds

    a = - 16, b = 15, c = 12

    -b/2a = - 15/2 (-16)

    = - 15/-32

    = 0.47 secs

    The maximum height = - 16 (0.47) ^2 + 15 (0.47) + 12

    = - 3.5344 + 7.05 + 12

    = 15.5156

    = 15.52ft
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