Range Projectile Motion

Calculate the horizontal distance traveled by a projectile launched from level ground.

Launch Parameters

Initial Velocity (v)

Unit

Launch Angle (θ) (°)

Gravity (g) (m/s²)

Motion Estimates

Enter parameters to calculate

About this calculator

Quick Reference

vLaunch Velocity

θLaunch Angle

gGravitational Acceleration

RHorizontal Range

Overview

The range of a projectile is the total horizontal distance it travels before returning to its launch height.

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Pro Tips

Fun Facts

"The maximum range is achieved at a launch angle of 45° (in a vacuum)."
"In the real world, air resistance significantly reduces range and changes the optimal angle."
"A projectile launched at 30° will have the same range as one launched at 60° (if launched at the same speed)."

Formula: R = (v² * sin(2θ)) / g