# A body thrown vertically upward has reached a maximum height of 180 m. Determine its initial speed.

March 24, 2021 | education

| Initial data: H (height reached by the body) = 180 m; the body, having reached its maximum height, will have a speed equal to zero.

Constants: g (acceleration of gravity) = 10 m / s ^ 2 = -a.

We express the initial velocity of the body from the following formula:

S = H = (V ^ 2 – V0 ^ 2) / 2a = (0 – V0 ^ 2) / (-2g) = V0 ^ 2 / 2g.

V0 ^ 2 = 2g * H; V0 = √ (2g * H).

Let’s perform the calculation:

V0 = √ (2 * 10 * 180) = √3600 = 60 m / s.

Answer: The initial velocity of the body is 60 m / s.

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