99 points! a projectile leaves a gun at the same instant that the target is dropped from rest. if the projectile is initially aimed straight at the target, will it hit the target? no air resistance.

The projectile will hit the target.

Even though the target is dropped and is falling due to gravity, the projectile leaving the gun is also falling by the same gravity acceleration. As both objects are at rest vertically and begin to fall at the same time by the same acceleration, their vertical displacement will be identical. That is why the projectile will kit the target.