Projectile Range Calculator

Your details

Choose which quantities you already know.
Initial speed of the projectile at the moment of launch.
m/s
Angle above the horizontal at which the projectile is launched. 45° gives maximum range on level ground.
deg
Height of the launch point above the landing surface. Leave 0 for level ground.
m
Choose a planetary body or enter a custom value.
Horizontal rangeOptimal angle (max range)
91.77

Total horizontal distance travelled when the projectile lands

Maximum height22.94
Time of flight4.326s
Launch angle45deg
Launch velocity30
Horizontal velocity (Vx)21.21
Vertical velocity at launch (Vy0)21.21
Landing speed30
Landing angle45deg
Distance unitm
Speed unitm/s
45 deg
Too shallow<20Low angle20-40Optimal zone40-50High angle50-70Too steep70+

Range: 91.77 m at 45.0 degrees launch angle

  • The projectile travels 91.77 m horizontally and reaches a peak of 22.94 m above the launch point.
  • Total flight time is 4.326 seconds.
  • You are launching at almost exactly 45 degrees, which gives the maximum range on level ground.

Next stepAir resistance is not modelled here. Real-world range is shorter for objects with low ballistic coefficients (like balls or arrows in dense air) and closer to this value for dense objects at low speeds.

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