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16 May, 17:57

If a football player passes a football from 4 feet off the ground with an initial velocity of 36 feet per second, how long will it take the football to hit the ground? Use the equation h = - 16t2 + 36t + 4.

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  1. 16 May, 18:08
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    0 = - 16t² + 36t + 4

    0 = - 8t² + 18t + 2 ← Complete the square to solve

    -8 (t² - 9t/2) = - 2

    8 (t² - 9t/4 + 81/64) = 2 + 81/8

    8 (t - 9/8) ² = 97/8

    (t - 9/8) ² = 97/64

    t - (t = 0)

    (h = 0) at:

    t = (9 + √97) / 8 ≅ 2.356 seconds
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