A gun was installed on a hill 20 m high and a shot was fired in a horizontal direction.

A gun was installed on a hill 20 m high and a shot was fired in a horizontal direction. At what distance from the place of the shot will the projectile fall if the velocity of projectile departure from the barrel is 600 m / s? The range of the projectile in the air is 30% of the range in airless space.

h = 20 m.

g = 10 m / s2.

V = 600 m / s.

Lw = 0.3 * L.

Lв -?

Since the projectile’s weapon is directed horizontally, the velocity of the projectile at the moment of departure will be directed horizontally.

Horizontally, the projectile will move uniformly at a speed V, vertically it will move without an initial speed, with an acceleration of gravity g.

Let us express the flight range of the projectile in airless space L according to the formula: L = V * t, where t is the projectile flight time.

The projectile flight time t is expressed by the formula: t = √ (2 * h / g).

L = V * √ (2 * h / g).

L = 600 m / s * √ (2 * 20 m / 10 m / s2) = 12000 m.

Lv = 0.3 * 12000 m = 3600 m.

Answer: in the air, the projectile will fly through the dispersion Lw = 3600 m.