The distance traveled by a falling object (subject only to
gravity, with wind resistance ignored) is directly proportional
to the square of the time it takes to fall that far. If an
object falls 100 feet in 2.5 seconds, how far does it fall in 5
seconds? I developed the equation d = k/(t^2) from the given
information, where d = distance, k is the constant of variation
and t = time in seconds. After doing the math, I got d = 25
feet, which makes no sense. The right answer is 400 feet. How do
I get 400 feet? Is my equation wrong?