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 17 seconds?
A) 272 ft
B) 4624 ft
C) 5202 ft
D) 4046 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 $k = 144 / 3^2 = 16$. For $t = 17$ seconds, $d = 16 \times 17^2 = 4624$ feet.

Round Your Answer to Two Decimal Places