Word problem! Help!

Question

The distance a falling object travels towards the earth is directly proportional to the square of the time that it falls. If an orange falls 16 feet in 4 seconds, how far will it fall in 8 seconds?

A) 32 feet

B) 24 feet

C) 64 feet

D) 128 feet

E) None

Answer 1

If the distance it falls is proportional to the square of the time, the equation would be D = kt² where k is the constant of proportionality. To find k, substitute D = 16ft, and t =4 sec into the above equation and solve for k.

k = 16 / 4² = 1

At t = 8 sec, D = 1 x 8² = 64 ft