A hunter aims directly at a target (on the same level) 140 m away. If the bullet leaves the gun at a speed of 280 m/s, by how much will the bullet miss the target?

A hunter aims directly at a target (on the same level) 140 m away. If the bullet leaves the gun at a speed of 280 m/s, by how much will the bullet miss the target?

In projectile motion constant horizontal velocity Vx is assumed.

Time to reach target is T = 140m / Vx = 0.5 s

Vertical deflection in time T = 0.5*g*T² = 0.5*9.8*0.5² m = 1.23 m

So the bullet passes 1.23 m under the target.