SubjectCalc

mechanics

Projectile Motion Calculator

Resolve launch velocity, calculate flight time, maximum height, range, impact speed, any specified-time state, and a sampled trajectory from an elevated launch.

Calculator

Uniform gravity and level ground; air resistance is ignored.

Formula

x = v₀cosθ·t; y = h₀ + v₀sinθ·t − ½gt²; vy(t)=v₀sinθ−gt; tapex=v₀sinθ/g; vimpact=√(vx²+vy²)

Assumptions and limits

  • Gravity is uniform, the ground is level, and air resistance is ignored.

Example

45 degree launch

The calculator starts with an editable example.

Sources

Frequently asked questions

Are my inputs uploaded?

No. This calculator runs locally in your browser. Inputs are placed in a URL only when you explicitly copy a share link.

Why are units converted first?

Canonical units prevent scale errors when inputs use mixed units. The result is converted back to your selected output unit afterward.

Does the result replace professional judgment?

No. The result applies only to the stated model and assumptions. Qualified people should review high-risk engineering, medical, or laboratory decisions.