What two factors determine a projectile's range?

Answer 1

The two main factors that affect the range of a simple projectile are the angle and speed of the launch. Both of these can be included in the launch velocity, which is a vector that is usually split up into vertical and horizontal components for processing.

There are other factors, like wind resistance (including spin/swing) and changes in gravity, but these are fairly insignificant unless you need high precision or are dealing with projectile motion on a large scale or with objects that aren't dense.

Answer 2

The range of a projectile is determined by its initial velocity and the angle at which it is launched from the horizontal. By adjusting these factors, the horizontal distance traveled by the projectile can be maximized or minimized.