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7 August, 10:27

A rock is thrown from the top of a tall building. the distance, in feet, between the rock and the ground x seconds after it is thrown is given by f (x) = - 16x62-4x+382 How long after the rock is thrown does it hit the ground

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  1. 7 August, 10:37
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    The first thing we are going to do in this case is to rewrite the function correctly.

    We have then:

    f (x) = - 16x ^ 2-4x + 382

    The moment the rock hits the ground we have f (x) = 0

    0 = - 16x ^ 2-4x + 382

    We solve the polynomial looking for its roots which are:

    x1 = - 5.012803699004288

    x2 = 4.762803699004288

    We ignore the negative root. The solution is:

    x = 4.76

    Answer:

    it hits the ground 4.76 s after is thrown
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