Answer
$1,600ft$
Work Step by Step
Since the distance a body falls is DIRECTLY proportional to the square of the time of the fall, we can express this with the following equation:
$$d =kt^{2}$$
where $d$ is the distance, $k$ is a proportionality constant, and $t^{2}$ is the square of the time of the fall. Since we know that, when $d=144ft$, $t=3$, we can calculate $k$:
$$k = \frac{d}{t^{2}}$$
$$k = \frac{144}{3^{2}} = \frac{144}{9} = 16$$
and finally answer the question:
$$d = 16(10^{2}) = 16(100) = 1,600ft$$
