Science

Projectile Range Calculator

Range, height and flight time.

Enter your values

Results update instantly as you type — no submit needed.

Results
Range
64.48 m
Max height
14.66 m
Flight time
3.37 s
Impact speed
25.58 m/s

Quick answer

Projectile range is maximised at a 45 degree launch angle in a vacuum.

R = v² sin(2θ) ÷ g

How to use the Projectile Range Calculator

  1. 1Enter the launch speed.
  2. 2Enter the launch angle above horizontal.
  3. 3Add the launch height above the landing plane.

Frequently asked questions

Is 45° always optimal?

Only from ground level — launching from height favours a slightly lower angle.

Does this include drag?

No — real ranges are shorter, especially for light objects.