The stone falls freely from a height of h = 5.0 m. Determine the speed of the stone at the ground surface.

Given:

H = 5 meters – the height from which the stone falls;

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

It is required to find v (m / s) – the speed of the stone at the surface of the earth.

Since, according to the condition of the problem, the stone falls without initial speed, then:

t = (2 * H / g) ^ 0.5 = (2 * 5/10) ^ 0.5 = (10/10) ^ 0.5 = (1) ^ 0.5 = 1 second – fall time to surface of the earth.

v = g * t = 10 * 1 = 10 m / s.

Answer: the speed of a stone near the surface of the earth is 10 meters per second.