What you provide
What you provide
- Initial speed and angle measured from the horizontal
- Launch height relative to impact level
- A positive constant gravitational acceleration
MECHANICS / IDEAL TWO-DIMENSIONAL MOTION
Projectile Motion Calculator
Resolve launch velocity, solve ideal flight time from an optional launch height, and calculate horizontal range and maximum height under constant gravity.
- 01 Calculated in this tab
- 02 Values stay in this browser tab
- 03 Use boundary
Use boundary
Calculation path
The launch velocity is resolved into horizontal and vertical components. A quadratic vertical-position equation gives the positive impact time, which sets range; the zero-vertical-velocity point gives maximum height.
Calculation path
Resolve initial speed into horizontal and vertical components, solve height = 0 for flight time, then range = horizontal speed x time.
What you receive
What you receive
- Ideal horizontal range and flight time
- Maximum height above the impact level
- Initial horizontal and vertical velocity components
Use boundary
Choose the maximum decimal places shown. This does not increase source accuracy.
The result excludes drag, wind, lift, spin, Earth curvature, changing gravity, and non-level impact geometry. It is an educational mechanics model, not a safety trajectory.
Use consistent units and preserve more precision than the displayed result when carrying an answer into another calculation.
Reviewed reference factors