Neglecting air resistance, the distance s(t) in feet traveled by a freely falling object is given by the function s(t)=16t^2, where t is tim

Question

Neglecting air resistance, the distance s(t) in feet traveled by a freely falling object is given by the function s(t)=16t^2, where t is time in seconds. The height of a certain tower is 944 feet. How long would it take an object to fall on the ground from the top of the building?

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Emery 2 weeks 2021-09-11T02:48:09+00:00 1 Answer 0

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    2021-09-11T02:50:01+00:00

    Answer:

    \boxed{\text{7.68 s}}

    Step-by-step explanation:

    s(t) = 16t²

    \begin{array}{rcl}944 & = & 16t^{2}\\t^{2} & = & 59\\t & = & \sqrt{59}\\ & = &\mathbf{7.68}\\\end{array}\\\text{It would take the object } \boxed{\textbf{7.68 s}} \text{ to reach the ground}

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