The body is thrown vertically upward with a certain initial speed of 10 m / s.

The body is thrown vertically upward with a certain initial speed of 10 m / s. How long does it take for the body to rise to the highest point of the trajectory?

V0 = 10 m / s.

g = 10 m / s2.

V = 0 m / s.

t -?

Since only gravity acts on the body, it is decelerated with the acceleration of gravity g until it comes to a complete stop. The maximum lifting height of the body will be when the body stops.

Let us write the formula for the acceleration of gravity g: g = (V0 – V) / t, where V, V0 are the final and initial velocity of the body, t is the flight time of the body.

Since at the maximum height the final velocity of the body is V = 0 m / s, then g = V0 / t.

t = V0 / g.

t = 10 m / s / 10 m / s2 = 1 s.

Answer: the body will rise to the maximum height in time t = 1 s.