Projectile Range Calculator
Calculate ideal projectile range for equal launch and landing heights.
Projectile Range measurements
Enter your values, then calculate.
Result
How to calculate projectile range
This calculator finds projectile range — the horizontal distance a projectile travels — from launch speed, launch angle, and gravitational acceleration.
How the calculation works
Range = (Velocity² × sin(2 × Angle)) ÷ Gravity.
Example
A launch speed of 20 m/s at a 45-degree angle (Earth gravity 9.8 m/s²): (400×sin(90°))÷9.8 = (400×1)÷9.8 ≈ 40.8 meters.
Frequently asked questions
How is Result calculated?
Result = [Launch speed] × [Launch speed] × sin(2 × [Launch angle] × pi() ÷ 180) ÷ [Gravity].
Is the Projectile Range Calculator free to use?
Yes — every calculator on Simple Calculator Tools is free, runs in your browser, and does not require an account.
Projectile Range Calculator
Range = (Velocity² × sin(2 × Angle)) ÷ Gravity.
Let's understand your projectile range result.
Calculate a result above and this guide will help you interpret it using this calculator's own formula and explanation.
Pro Tips for Projectile Range
- Maximum range for a given launch speed occurs at a 45-degree launch angle (assuming level ground and no air resistance) — this is why sin(2×angle) peaks at angle=45°.
- This idealized formula ignores air resistance, which meaningfully reduces real-world range for lighter or larger-surface-area projectiles.
Common Projectile Range Mistakes to Avoid
- Applying this idealized no-air-resistance formula to a real-world projectile significantly affected by drag (like a lightweight ball in wind), where actual range will be noticeably shorter.
When to Use This Calculator
This calculator finds projectile range — the horizontal distance a projectile travels — from launch speed, launch angle, and gravitational acceleration.