Question

The distance that an object falls is directly proportional to the square of the time of the fall, t. A person who is parachuting for the first time is told to wait 15 seconds before opening the parachute. If the person falls 64 feet in 2 seconds, find how far he falls in 15 seconds

Answer 1

d = k t^2
64 = k (2)^2
so
k = 64/4 = 16
then
d = 16 (15)^2
d = 16 * 225
d = 3600 feet
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check
g = 32 ft/s^2
h = (1/2) g t^2 = 16 t^2
yes