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

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.