AllEasyToolsUpper secondary
Projectile motion
Projectile motion: formula, units and explained result. No account required. Processing stays in your browser.
T = 2v sinθ/g; R = v²sin(2θ)/g; H = v²sin²θ/(2g)
No air resistance; landing at launch height. Angle between 0° and 90°.
How to use this calculator
- Identify the quantities and convert them to the units shown.
- Apply the formula first, then compare with the substitution and result.
- Check the assumptions and whether the order of magnitude makes sense.
Levels are approximate topic groupings, not a complete curriculum for every country. Numerical results are rounded and may lose precision for extreme or nearly singular inputs.
A practical example
Use these sample inputs to check the calculation before entering your own values.
- Initial speed (m/s)
- 20
- Angle (degrees)
- 45
- Gravity (m/s²)
- 9.81
Result for this example
- Flight time
- 2.8832080782326095 s
- Range
- 40.77471967380224 m
- Maximum height
- 10.193679918450558 m