Projectile Motion Calculator

From ground level the range is R = v^2 x sin(2 x angle) / g, where v is the launch speed and g is gravity. With a launch height the tool instead multiplies the horizontal speed by the full time of flight, which lands the object farther.

Maximum height is H = (v x sin(angle))^2 / (2 x g), measured above the launch point, plus any starting launch height. Only the vertical part of the launch speed contributes, so a flatter throw peaks lower.

The flight time comes from the full quadratic for vertical position rather than the symmetric ground-level formula, so the object spends longer falling and travels farther. Set the launch height field to model a throw from a cliff, table or platform.

Yes. The default is 9.81 m/s^2 for Earth. Enter 1.62 for the Moon, 3.71 for Mars or any other value, and the range, height and time all scale accordingly.

No. These are the ideal projectile equations with no drag, which match textbook problems closely for dense, slow objects. Light or fast objects like a feather or a golf ball at speed deviate because air resistance becomes significant.

From level ground the range peaks at 45 degrees, because sin(2 x angle) is largest there. Launching from a height shifts the best angle slightly below 45 degrees, since extra fall time rewards a flatter, faster trajectory.

A vertical launch has no horizontal speed, so the object goes straight up and comes straight back down with zero horizontal travel. The height and time fields still update to show how high and how long.

Not in this drag-free model. Gravity accelerates every mass equally, so range, height and time depend only on the launch speed, angle, gravity and starting height, not on how heavy the object is.

No. The equations run in your browser, so the values you enter stay on your device.