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Projectile Motion Range & Apex Calculator

R = v²sin(2θ)/g — range, max height, and time of flight.

Calculates the range, maximum height, and time of flight of a projectile launched at an angle from horizontal, ignoring air resistance.

Nadia Almasri By Nadia Almasri
Published Last reviewed 1 min read

Inputs

Results

Enter values and click Calculate to see results.
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How to use this calculator

  1. Fill in the inputs above using the units you already have.
  2. Values update automatically as you type — no submit button needed.
  3. Hover any result row for the underlying formula and intermediate values.

Formula

R = v₀²×sin(2θ)/g; H = v₀²×sin²θ/(2g); T = 2v₀sinθ/g

In depth

Calculates the range, maximum height, and time of flight of a projectile launched at an angle from horizontal, ignoring air resistance.