When an object moves within two or three dimensions then it is classified as a projectile. For this type of motion, the projectile's range is proportional to its launch angle. In the case when projectiles follow a symmetric path, due to the constant acceleration of gravity, then its range is given by the equation = 2 0sin (20) where 0 is the projectile's initial speed, 0 is the launch angle of the projectile, and is the magnitude of the acceleration due to gravity. Using calculus, there exists a launch angle that maximizes the projectile's range. For a launch angle of 45, the maximum range of a projectile becomes = 2 0 In the special case when a projectile is launched horizontally and its trajectory is non- symmetric, its range can be calculated from the kinematic equations to produce = 0 2 where 0 is the projectile's initial speed, is the projectile's initial height above ground, and is the magnitude of the acceleration due to gravity. PROCEDURE 1. Mount the projectile launcher to the table. 2. Record the projectile height above ground. 3. Load the metal sphere inside the launcher at the short-range setting. 4. Fire the projectile horizontally and