I guess the only thing to calculate the motion of a ball both with and without air resistance. Without air resistance, you have straight projectile motion (straight from an introductory physics book).

So, here is a bullet shot horizontally from a gun with air resistance. Here there is a difference. Now there is a component of force that depends on velocity in the y-direction.

WE are told in the Preface to this work that “the consideration of the motion of a projectile naturally divides itself into three parts—first, its motion in the bore of the gun; second, its ...

In the vacuum of space, a gunshot is not muffled by the lack of air. It is actually released with all of the explosive might ...

THE experiments made by Hutton to determine the resistance of the air to the motion of shot were carried out by firing small spherical balls into the receiver of a gun-pendulum. As little ...