Solve the problem. Round your answer to two decimal places.
-The distance an object falls when dropped from a tower varies directly as the square of the time it falls. If the object falls 144 feet in 3 seconds, how far will it fall in 15 seconds?
A) 3150 ft
B) 240 ft
C) 3600 ft
D) 4050 ft

Question

Quizplus · Accepted Answer

The distance $d$ varies directly as the square of the time $t$, so $d = kt^2$ for some constant $k$. Given $d = 144$ feet when $t = 3$ seconds, we find $k = 144 / 3^2 = 144 / 9 = 16$. For $t = 15$ seconds, $d = 16(15^2) = 16(225) = 3600$ feet.

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