# The projectile, which received an initial velocity of 280 m / s when fired from a gun, flies vertically upward. At what height above

August 30, 2021 | education

| **The projectile, which received an initial velocity of 280 m / s when fired from a gun, flies vertically upward. At what height above the place of the shot its kinetic energy is equal to the potential one.**

According to the law of conservation of energy, we need the following formula:

Eko = Ek + Ep, by the condition Ek = Ep,

Let’s transform the formula:

Eko = 2 * Ep, mvo ^ 2/2 = 2mgh, h = vo ^ 2 / 4g.

Thus, we can find a solution to the problem, substitute and calculate:

h = 280 ^ 2/4 * 10 = 1960 m.

Answer: h = 1960 m.

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