Astone was dropped off a cliff and hit the ground with a speed of 120 ftys. what is the height of the cliff

Givens:
Acceleration (a) = 32.17 ft/s² as that is the only force acting on the stone in free fall assuming no air resistance

Initial velocity (V1) = 0 ft/s as that it the starting speed of the stone as all objects about to move from rest must start at 0 velocity at rest = 0 velocity

Final velocity (V2) = 120 ft/s

Displacement aka. the height of the cliff (Δd) = ? ft

The kinematic formula we can use is: V2² = V1² + 2(a)(Δd)
Isolate to solve for Δd and just plug in the numbers!
V2² = V1² + 2(a)(Δd)
(120)² = (0)² + 2(32.17)(Δd)
14400 = 2(32.17)(Δd)
= Δd
223.9 = Δd

Therefore, the height of the cliff is 223.9 ft! Hope this helped! :)