Science & engineering
Ideal projectile motion
Explore range, height and flight time for a level-ground model.
A clear answer. Here’s how.
Assumes launch and landing at the same height, no air resistance and constant gravity. Flight time = 2v sin(θ)/g; range = v cos(θ) × flight time; maximum height = [v sin(θ)]²/(2g). Educational idealised motion model.
See a worked example
Worked example
A fixed demonstration, separate from the values you enter above.
- Launch speed (m/s)
- 20
- Launch angle above horizontal (degrees)
- 45
- Gravitational acceleration (m/s²)
- 9.80665
Example result
- Flight time (seconds)
- 2.88419299633
- Horizontal range (m)
- 40.7886485191
- Maximum height (m)
- 10.1971621298
- Horizontal velocity (m/s)
- 14.1421356237
- Initial vertical velocity (m/s)
- 14.1421356237