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 4 seconds?
A) 256 ft
B) 224 ft
C) 288 ft
D) 64 ft

Question

Quizplus · Accepted Answer

The distance $d$ varies directly as the square of the time $t$, so $d = kt^2$, where $k$ is a constant. Given $d = 144$ feet when $t = 3$ seconds, we find $k = 144 / 3^2 = 16$. For $t = 4$ seconds, $d = 16 \times 4^2 = 256$ feet.

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