Formula verified · Deterministic calculation

Projectile Motion Calculator

Calculate ideal projectile range from launch speed, angle and positive gravitational acceleration. The certified deterministic model assumes equal launch and landing heights.

SpeedAngle (degrees)Gravity

Result10

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Result methodology

Deterministic calculation using the displayed physics formula and supplied compatible units.

Solution steps

Projectile Motion = 10

How this calculator works

Ideal range is R = v² sin(2θ) / g.

Formula

R=v²sin(2θ)/g

Ideal level-ground projectile range without air resistance.

Worked example

Verified example is a verified test case used by the calculation engine.

Assumptions and limitations

No air resistance.
Launch and landing heights are equal.
Angle is 0–90 degrees and gravity is positive.

Methodology & sources

This calculator uses deterministic, versioned calculation logic. The formula and verified examples above are part of the calculation definition used by CalcuMint.

CalcuMint deterministic physics engine

Frequently asked questions

Does this include air resistance?

No. It is the ideal vacuum-style projectile model.

Why is gravity an input?

It allows the model to be used with an explicitly chosen gravitational acceleration.