Projectile Motion & Free-Fall Calculator
Solves the full quadratic, so a throw from a cliff or a launch off a ramp works properly — not just the level-ground formulas most calculators stop at. And 45° only maximises range when you launch from the ground.
The launch
How fast it leaves your hand, the barrel or the ramp
m/s
Above the horizontal. Negative to throw downwards.
°
Above where it lands. This is the bit most calculators cannot do.
m
Advanced / Custom Input — the launch
If it lands on something raised — a roof, a platform.
m
The engine runs in SI either way, so the physics does not change.
Conditions
Earth unless you are doing something interesting
Filled in from the preset
m/s²
Advanced / Custom Input — air resistance
This model is a vacuum. Drag is not integrated — see the note.
Only used to size the drag caveat, not the calculation.
Ask about a point on the path
s
m
Advanced / Custom Input — the query
The tool solves for the two angles that get there. 0 to skip.
m
Best angle for distance
For your speed and launch height
Advanced / Custom Input — the sweep
How finely to list range against angle.
°
Result
Put in a speed and an angle, then press “Work out the trajectory”.
Estimate only — this is the ideal vacuum model. Real projectiles fall short of it, and the gap widens with speed. Verify with a full drag simulation before relying on this for anything that matters.