Horizontal range (displacement distance) calculator for oblique projectile motion

I want to calculate:
Initial velocity(V0) = m/s
Gravity acceleration(g) = m/s2
Angle between velocity and horizontal planeθ =  
Displacement distance(R) = m
 

What is a Horizontal Range (Displacement Distance) Calculator for Oblique Projectile Motion?

A Horizontal Range Calculator determines the total horizontal distance (displacement) traveled by a projectile launched at an angle before it hits the ground. It is used to analyze oblique projectile motion, where an object is launched at an angle and moves under the influence of gravity.

Why Use a Horizontal Range Calculator?

This calculator is useful for:

  1. Physics Studies – Solving kinematic problems related to projectile motion.
  2. Sports Science – Analyzing throws in sports like javelin, football, or golf.
  3. Engineering and Ballistics – Designing projectile trajectories in military, aerospace, and mechanical applications.
  4. Game Development – Simulating realistic object motion in animations and physics engines.

How Does a Horizontal Range Calculator Work?

The horizontal range (R) of a projectile launched at an angle θ with initial velocity v0​ is given by:

Where:

  • R = horizontal range (m)
  • v0​ = initial velocity (m/s)
  • θ = launch angle (degrees)
  • g = acceleration due to gravity (9.81 m/s² on Earth)

If air resistance is ignored, this formula gives the maximum horizontal displacement before the object lands.

When to Use a Horizontal Range Calculator?

  • In physics experiments to study projectile motion.
  • For sports performance analysis, like calculating shot put or soccer kick range.
  • In engineering and aerospace, for designing launch systems and trajectories.
  • For game physics, to program realistic projectile motion for objects like arrows, grenades, or basketballs.