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Projectile Motion Calculator

g = 9.81 m/s²

Try an example

m/s
°

Range

40.77 m

Max Height

10.19 m

Flight Time

2.88 s

Trajectory

0 m41 m

Formulas

R = v₀² sin(2θ) / g  = 40.77 m

h = v₀² sin²(θ) / (2g)  = 10.19 m

T = 2 v₀ sin(θ) / g  = 2.88 s

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Use this projectile motion calculator to compute mechanics results from your inputs.

Common Mistakes

  • !Using degrees instead of radians — trigonometric functions require radians in most contexts; this calculator converts automatically.
  • !Ignoring air resistance — real projectiles experience drag, so actual range is shorter than the ideal calculation.
  • !Assuming a 45° launch angle always gives maximum range — this is true in a vacuum, but real-world conditions (air resistance, launch height) change the optimal angle.