In projectile motion, the horizontal displacement refers to the distance covered horizontally by a projectile while it is in motion. The equation for horizontal displacement in projectile motion is relatively straightforward.
Assuming there is no horizontal acceleration (such as air resistance), the horizontal velocity remains constant throughout the motion. Let's denote the horizontal velocity as "v_x" and the time as "t". The horizontal displacement, "d_x," can be calculated using the equation:
d_x = v_x * t
Here, "d_x" represents the horizontal displacement, "v_x" represents the horizontal velocity, and "t" represents the time elapsed.
It's important to note that this equation assumes the absence of any external horizontal forces acting on the projectile, resulting in a constant horizontal velocity. In reality, factors like air resistance can affect the motion of a projectile, making the horizontal velocity non-constant. However, in ideal projectile motion problems, the equation above holds true.