The distance s that an object falls is directly proportional

The distance s that an object falls is directly proportional to the square of the time t of the fall. If an object falls 16 feet in 1 second, how far will it fall in 5 seconds? How long will it take an object to fall 64 feet?

Solution

Assume S= cT² relationship between distance and time

first case

S = 16 feet and T= 1sec

so c = 16 ft/sec²

for T=5 sec

S= 16*25 = 400 ft

second case for S=64 ft

T= S/c = 64/16 = 4 sec