The initial velocity of a bullet from a sporting rifle is 300 m / s, and from a hunting rifle 375 m / s

The initial velocity of a bullet from a sporting rifle is 300 m / s, and from a hunting rifle 375 m / s, how do the values of the range of the bullets relate to each other, if the shots were fired in a horizontal direction and from the same height.

Given:

v1 = 300 m / s – initial velocity of bullet departure from a sporting rifle;

v2 = 375 m / s – the initial velocity of the bullet from the hunting rifle.

It is required to determine the ratio L1 / L2.

Since the shot was fired in a horizontal direction and from the same height, the bullet fall time will be the same.

Then:

L1 / L2 = v1 * t / v2 / t = v1 / v2 = 300/375 = 0.8.

Answer: The range of a bullet from a sporting rifle and from a hunting rifle are related to each other as 0.8.