Ballistic Range Calculator

Calculate the range of a projectile based on initial velocity, launch angle, and gravity.

Input Parameters

Calculation Results

Calculation Formula

R = (v₀² * sin(2θ)) / g

Where:
R = Range (m)
v₀ = Initial Velocity (m/s)
θ = Launch Angle (degrees)
g = Gravity (m/s²)

Result

Range: - meters

Ballistic Range Calculator Usage Guide

Learn how to use the Ballistic Range Calculator and its working principles

How to Use the Calculator

  1. Enter the Initial Velocity of the projectile in meters per second (m/s). This is the speed at which the object is launched.
  2. Enter the Launch Angle in degrees. This is the angle at which the object is launched relative to the horizontal plane.
  3. Enter the Gravity in meters per second squared (m/s²). The default value is 9.81 m/s², which is the standard gravity on Earth. You can change this for different planetary conditions.
  4. Click the Calculate button to compute the range.
  5. The Result will display the calculated range in meters.

Working Principle

This calculator uses the basic physics formula for the range of a projectile launched at an angle, neglecting air resistance. The formula is:

R = (v₀² * sin(2θ)) / g

Where:

  • R is the range of the projectile.
  • v₀ is the initial velocity of the projectile.
  • θ is the launch angle in degrees.
  • g is the acceleration due to gravity.

This formula assumes that the projectile is launched and lands at the same height and that air resistance is negligible.