Horizontal displacement calculator for projectile motion

I want to calculate
Initial horizontal velocity(Vx0) = m/s
Time(t) = s
Horizontal displacement(Δx) = m
 

What is a Horizontal Displacement Calculator for Projectile Motion?

A Horizontal Displacement Calculator is a tool used to determine how far an object travels horizontally when launched at an angle or in pure horizontal motion (neglecting air resistance). It helps solve projectile motion problems in physics and engineering.

Why Use a Horizontal Displacement Calculator?

This calculator is useful for:

  1. Physics Problems – Solving kinematic equations for projectile motion.
  2. Sports Science – Analyzing ball trajectories, long jumps, or golf shots.
  3. Engineering Applications – Predicting the range of projectiles, rockets, or mechanical launches.
  4. Game Development – Creating realistic motion for flying objects.

How Does a Horizontal Displacement Calculator Work?

The horizontal displacement (x) of a projectile is calculated using:

Where:

  • x = horizontal displacement (m)
  • vx​ = horizontal velocity (v0cos⁡θ, where v0​ is the initial speed and θ is the launch angle)
  • t = total time of flight (s)

If the projectile is launched at an angle, time of flight can be found using:

And range (RR R) can be determined by:

When to Use a Horizontal Displacement Calculator?

  • In physics experiments involving projectile motion.
  • For sports performance analysis, like calculating shot put or javelin throw range.
  • In engineering and ballistics, when designing projectile trajectories.
  • For game physics, to create realistic movement for jumping or flying objects.