Projectile Motion Calculator
Calculate projectile motion: range, max height, time of flight and a trajectory chart. Enter launch velocity, angle, initial height and gravity.
How to use this tool
- Enter launch velocity, launch angle, initial height and gravitational acceleration in the fields above.
- Results update instantly as you type — or click Calculate.
- Read your horizontal range and the full breakdown beneath it.
Projectile motion splits velocity into horizontal (v₀cosθ) and vertical (v₀sinθ) components. Horizontal velocity is constant; vertical is affected by gravity g = 9.81 m/s².
- Range: R = v₀²sin(2θ)/g (from ground level)
- Max height: H = v₀²sin²θ / (2g)
- Time of flight: T = 2v₀sinθ / g
Frequently asked questions
- Which angle maximises range?
- 45° maximises range on flat ground. With an elevated launch point the optimal angle is slightly less than 45°.
- Can I use different gravity values?
- Yes — use 1.62 m/s² for the Moon, 3.72 for Mars, or 24.79 for Jupiter.