The body is thrown from the surface of the earth vertically upward with an initial speed of 30 m / s. How high will it rise?

V0 = 30 m / s.

V = 0 m / s.

g = 9.8 m / s ^ 2.

h -?

The body, which is moving, is acted upon by the force of gravity; therefore, the body moves with the acceleration of gravity g, which is directed in the opposite direction of the initial velocity V0.

We express the height of the body h by the formula: h = (V0 ^ 2 – V ^ 2) / 2 * g, where V0 is the initial speed of movement, V is the final speed of the body, g is the acceleration of gravity.

Since the body will stop at the maximum height, its final velocity V = 0 m / s.

The formula for determining the maximum height will be: h = V0 ^ 2/2 * g.

h = (30 m / s) ^ 2/2 * 9.8 m / s ^ 2 = 46 m.

Answer: the maximum body height is h = 46 m.