What is the height of the cliff?

Question

A stone was dropped off a cliff and hit the ground with a speed of 112 ft/s. What is the height of the cliff? (Use 32 ft/s² for the acceleration due to gravity.)

 ____ ft.

Answer 1

When something is dropped; the speed constantly rises. The formula I use is: (t^2+t)/2*32.2=height.

height/time=speed; or height/speed=time

((t^2+t)/2*32.2)/112=time

(t^2+t)/2=3.4782....=

t^2+t=6.9564

t=2.184sec

Using the formula: (t^2+t)/2*32.2=111.957ft