The hunter shoots at a bird flying at a distance of 30 m from him at a speed of 15 m / s in the direction perpendicular

The hunter shoots at a bird flying at a distance of 30 m from him at a speed of 15 m / s in the direction perpendicular to the aiming line what kind of advance should be done at the time of the shot if the shot speed when leaving the gun is 375 m / s

Given:

L = 30 meters – the distance between the flight line of the bird and the hunter;

v1 = 15 m / s – the speed of the bird;

v2 = 375 m / s – the speed of the shotgun shot.

It is required to find the lead s (meters).

A shot from a gun will cover a distance of 30 meters in:

t = L / v2 = 0.08 seconds.

During this time, the bird will have time to fly the distance:

s = t * v1 = 15 * 0.08 = 1.2 meters.

Answer: at the time of the shot, the hunter needs to make a lead of 1.2 meters.