Projectile Range Calculator
Range, height and flight time.
Enter your values
ⓘ Live results
Results
- Range
- 64.48 m
- Max height
- 14.66 m
- Flight time
- 3.37 s
- Impact speed
- 25.58 m/s
Quick answer
Projectile range is maximised at a 45 degree launch angle in a vacuum.
R = v² sin(2θ) ÷ g
How to use the Projectile Range Calculator
- 1Enter the launch speed.
- 2Enter the launch angle above horizontal.
- 3Add the launch height above the landing plane.
Worked example
Using the values the calculator loads with:
Inputs
- Launch speed25 m/s
- Launch angle40 °
- Launch height1.5 m
Results
- Range64.48 m
- Max height14.66 m
- Flight time3.37 s
- Impact speed25.58 m/s
Frequently asked questions
Is 45° always optimal?
Only from ground level — launching from height favours a slightly lower angle.
Does this include drag?
No — real ranges are shorter, especially for light objects.
About this calculator
- Built and reviewed by James Whitfield · How we build and test calculators
- Report an error
Results are estimates for general information. For medical, legal, structural or financial decisions, confirm with a qualified professional.