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13 December, 05:50

A golf ball is chipped into the air from a small hill with an upward velocity of 50 ft/s. Its height h in feet after t seconds is given by the function. What is the maximum height in feet that the ball reaches? Round your answer to the nearest whole number.

equation: - 16t^2+50t+10

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  1. 13 December, 06:16
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    From the model given:

    h (t) = - 16t^2+50t+10

    at the maximum height h' (t) = 0

    from the function:

    h' (t) = - 32t+50

    thus

    -32t+50=0

    t=50/32

    thus at maximum height:

    t=50/32~1.5625

    hence, the maximum height will be:

    distance=speed*time

    distance=1.5625*50

    =78.125 ft
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