Originally posted by: Noriaki
In a physics textbook:
The point of this question is that you can separate horizontal and vertical velocities and accelerations and they are completely independant from each other.
Therefore with about four hundred thousand simplifying assumptions if the gun is perfectly horizontal the initial vertical velocity of the bullet when it leaves the tip of the rifle is 0. If you drop the other bullet at the precise instant the bullet leaves the tip of the rifle they both have an inital velocity of 0 and both come under the effect of the gravity (vertical acceleration) at the same instant so they will hit the ground at the same time (although obviously quite some horizontal distance apart).
< Edit > This is the
Correct Answer (tm) if you are asked this question on a physics test/assignment. < /Edit >
In reality:
Who the hell knows. Even ignoring stuff like air resistance and terrain, the rifle probably isn't going to be perfectly level so it is going to have some initial vertical velocity (even if it's off by 1 degree). If it's angled up it will hit after the dropped bullet, and if angled down it will hit before. Throw in the other host of things simplified away by the physics textbook
and the near impossibility of accurately measuring it and you end up at my initial four words: who the hell knows. Moreoever who the hell cares