How to use the projectile motion calculator
Calculate range, maximum height and flight time of a launched projectile. Enter launch speed, launch angle, launch height in the fields above; the flight time, range, maximum height, impact speed are computed instantly and plotted on the chart so you can see how the answer changes.
Formula
Variables
- v0 — Launch speed (m/s)
- ang — Launch angle (°)
- h0 — Launch height (m)
Worked example
With launch speed = 20 m/s, launch angle = 45 °, launch height = 0 m, the calculator gives flight time ≈ 2.884193 s; range ≈ 40.78865 m; maximum height ≈ 10.19716 m; impact speed ≈ 20 m/s.
Frequently asked questions
What is the formula for the projectile motion calculation?
Flight time (s) = (v0 × sin(ang)+√((v0 × sin(ang))^2+2 × GRAV × h0)) / GRAV. Range (m) = v0 × cos(ang) × [Flight time]. Maximum height (m) = h0+(v0 × sin(ang))^2 / (2 × GRAV). Impact speed (m/s) = √(v0 × v0+2 × GRAV × h0). Here v0 is launch speed (m/s), ang is launch angle (°), h0 is launch height (m).
What inputs do I need for the projectile motion calculator?
You need launch speed in m/s, launch angle in °, launch height in m. Each field is pre-filled with a typical example so you can see how the result responds as you edit the numbers.
How do I use this calculator?
Type values into the input fields. Results and the chart update instantly. Use Reset to restore the example values, Copy results to paste them elsewhere, or Share to copy a link that preserves your inputs.
Is the result exact?
Calculations use standard formulas and double-precision arithmetic, then display about seven significant figures. Real-world measurements carry uncertainty, so treat results as estimates unless your inputs are exact.