The distance between the point of projection and the point where the projectile strikes the ground is known as the range of the projectile. It represents the horizontal distance traveled by the projectile from launch to landing, assuming the launch and landing occur at the same vertical height

. The range depends on factors such as the initial velocity, launch angle, and gravitational acceleration. For a projectile launched on level ground (initial height zero), the range RRR can be calculated by the formula:

R=v2sin⁡2θgR=\frac{v^2\sin 2\theta}{g}R=gv2sin2θ​

where

• vvv is the initial velocity,
• θ\theta θ is the launch angle,
• ggg is the acceleration due to gravity (approximately 9.81 m/s²)

The maximum range for a given initial speed is achieved at a launch angle of 45 degrees. Additionally, two complementary angles (angles that add up to 90°) produce the same range

. In summary, the range is the horizontal distance between the launch point and the impact point of the projectile on the ground.