The formula for calculating the horizontal displacement of a horizontally launched projectile is
A projectile launched horizontally with a velocity v, at a height y ,travels a horizontal distance x, while falling through a distance y. The horizontal velocity of a projectile remains constant throughout its motion, in the absence of air resistance. The vertical component of the velocity is under the action of the gravitational force and hence it increases in magnitude as it falls through the height.
The horizontal displacement of the projectile is a uniform motion and it occurs at a constant speed v.
Thus, the horizontal displacement of the projectile is given by the expression.