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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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znk

Answer:

[tex]\boxed{\text{7.68 s}}[/tex]

Step-by-step explanation:

s(t) = 16t²

[tex]\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}[/tex]

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