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The function s(t)=16t 2 models the distance, s(t), in feet, that an object falls

ID: 3029793 • Letter: T

Question

The function

s(t)=16t2

models the distance, s(t), in feet, that an object falls in t seconds. Use this function and the square root property to solve the given problem. Express answers in simplified radical form. Then use a calculator to find a decimal approximation.A sky diver jumps from an airplane and falls 2880 feet before opening a parachute. For how many seconds was the diver in a free fall?

The sky diver was in a free fall for (how many) seconds

(Simplify your answer. Type an exact answer, using radicals as needed.)

Explanation / Answer

According to condtion

16t^2 = 2880

divide both sides by 16 we get

t^2 = 2880/16

t^2 = 180

t= sqrt(180)

t=6 sqrt(5)   answer

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