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25 October, 06:51

The height of a golf ball in the air can be modeled by the equation, where h is the height in the feet of the ball after t seconds.

a. how long is the ball in the air?

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  1. 25 October, 07:35
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    For this case we have the following equation:

    h (t) = - 16t ^ 2 + 76t

    We must find the time that was in the air.

    For this we equate the equation to zero.

    -16t ^ 2 + 76t = 0

    We look for the roots of the polynomial.

    For this, we rewrite:

    -4t * (4t-19) = 0

    Which roots are:

    t = 0

    t = 19/4

    Therefore, the time it was in the air was:

    t = 19/4

    Answer:

    t = 19/4 seconds
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