The body falls from a certain height at the moment of falling to the ground, its speed is 40 m / s, from what height the body fell.

V0 = 0 m / s.

V = 40 m / s.

g = 10 m / s2.

h -?

When falling, only gravity acts on the body, so it will move with the acceleration of gravity g.

Let us express the height of the fall of the body h by the formula: h = V0 * t + g * t ^ 2/2, where V0 is the initial velocity of the fall of the body, t is the fall time, g is the acceleration of gravity.

The time of falling of the body t is expressed by the formula: t = (V – V0) / g.

t = (40 m / s – 0 m / s) / 10 m / s2 = 4 s.

h = 0 m / s * 4 s + 10 m / s2 * (4 s) ^ 2/2 = 80 m.

Answer: the body fell from a height of h = 80 m.