How does the Projectile Motion Calculator work?

Horizontal: x = v₀ × cos(θ) × t (constant velocity) Then: Vertical: y = v₀ × sin(θ) × t − ½ × g × t² Then: Max height: H = (v₀ × sin(θ))² / (2g) Then: Range (flat ground): R = v₀² × sin(2θ) / g · max at θ=45°.

Can you give an example of how to use the Projectile Motion Calculator?

Example: Input Launch 20 m/s at 30° gives a result of Range: 35.3m · Max height: 5.1m · Flight time: 2.04s (20²×sin60°/9.81=35.3m).

Is the Projectile Motion Calculator free to use?

Yes — completely free with no registration, download, or subscription required. All calculations happen instantly in your browser.

How accurate is the Projectile Motion Calculator?

Our Projectile Motion Calculator uses verified mathematical formulas and is accurate to multiple decimal places. Results are calculated in real-time using the same methods used by professionals.

Thực tế

Projectile Motion Calculator

Initial velocity (m/s)

Launch angle (°)

Initial height (m)

Projectile motion describes the parabolic path of an object launched into the air and subject only to gravity (ignoring air resistance). Key equations relate launch speed, angle, maximum height, horizontal range, and time of flight.

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Did You Know?

Galileo Galilei first described projectile motion as parabolic around 1608, disproving Aristotle's claim that objects naturally follow straight lines. He used inclined planes and balls to derive the equations without calculus.

References

›Projectile motion — Wikipedia

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Projectile Motion Calculator

Projectile Motion Calculator

Là gì Projectile Motion Calculator?

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Air resistance

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