Projectile Range Calculator

    Calculate projectile range, required launch speed, launch angles for a target range, or a range table by angle.

    Range
    40.79 m
    Max height
    10.2 m
    Flight time
    2.88 s
    Optimal angle
    45°
    (for max range)
    Explanation
    Range: 40.79 m with flight time 2.884 s.
    Maximum height: 10.2 m; optimal angle for these inputs: 45°.
    Launch height is ground level, so the simplified ground-to-ground model applies.
    Flight trajectory

    Projectile range by speed and angle

    Projectile range intent is narrower than full trajectory intent: users usually want horizontal distance, required launch speed or the angle needed to reach a target.

    R is range for equal launch and landing heights in the ideal model.

    Two launch-angle solutions

    For many reachable target ranges, a low-angle and a high-angle trajectory both work. The calculator shows both when possible.

    Frequently Asked Questions

    Sources and References

    Calculations are based on the listed reference sources. Links open in a new tab.

    Updated:

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