Projectile Motion Calculator

Range (horizontal distance)Standard projectile arc

40.77m

Maximum height10.19m

Time of flight2.88s

Impact speed20m/s

Impact angle (below horizontal)45°

Horizontal velocity component14.14m/s

Initial vertical velocity component14.14m/s

Range-maximizing launch angle45°

Range40.77

Max height10.19

This launch carries the projectile 40.77 m downrange.

The projectile travels 40.77 m horizontally, peaks at 10.19 m, and is airborne for 2.88 s.
It strikes the ground at 20 m/s, 45° below the horizontal.
Range is maximized at a 45° launch angle on level ground; angles above and below 45° that sum to 90° (e.g. 30° and 60°) give the same range.
Air resistance is ignored, so real ranges are shorter, especially for light or fast objects.

Next stepAdjust the angle toward 45° to maximize range, or add an initial height to model a throw off a cliff or table.

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