Determine the height of the building if a drop of water falls from the roof for 5 seconds.

Determine the height of the building if a drop of water falls from the roof for 5 seconds. What speed the drop has acquired near the ground.

t = 5 seconds – the time a drop falls from the roof of the building;

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

It is required to determine the height of the building H (meters) and the speed of the drop at the surface of the earth v (m / s).

H = g * t ^ 2/2 = 10 * 5 ^ 2/2 = 10 * 25/2 = 250/2 = 125 meters.

v = g * t = 10 * 5 = 50 m / s.

Answer: the height of the building is 125 meters, at the surface of the earth the drop has acquired a speed equal to 50 m / s.