basic

Projectile Maximum Height from Launch Angle and Speed Calculator

h_max = (v₀ · sin θ)² / (2 · g).

Compute the apex height a projectile reaches when launched at speed v₀ and angle θ above flat ground (no air resistance), using h_max = (v₀ · sinθ)² / (2g). Also reports the initial vertical velocity component v₀_y and the time of flight to apex t_apex = v₀ · sinθ / g.

Dr. Helena Ortiz By Dr. Helena Ortiz
Published Last reviewed 1 min read

Inputs

m/s
°

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

h_max = (v₀·sinθ)² / (2g); t_apex = v₀·sinθ / g.

In depth

Compute the apex height a projectile reaches when launched at speed v₀ and angle θ above flat ground (no air resistance), using h_max = (v₀ · sinθ)² / (2g). Also reports the initial vertical velocity component v₀_y and the time of flight to apex t_apex = v₀ · sinθ / g.