Determine the depth of the gorge if the stone fell freely to the bottom of the gorge for 4 s.

Given:

t = 4 seconds – the time the stone fell to the bottom of the gorge;

g = 10 m / s ^ 2 – acceleration of gravity.

It is required to determine H (meters) – the depth of the gorge.

Since, according to the condition of the problem, the stone falls freely, that is, without an initial speed, then:

H = g * t ^ 2/2 = 10 * 4 ^ 2/2 = 10 * 16/2 = 160/2 = 80 meters.

Answer: the depth of the gorge is 80 meters.