放物運動計算機

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はじめに

Projectile Motion Calculator — Range, max height and flight time for a projectile. Enter Initial velocity (m/s), Launch angle (°), Gravity (m/s²) to get an instant, accurate result.

計算式

Range = v²sin(2θ)/g. Max height = v²sin²(θ)/(2g). Flight time = 2v·sin(θ)/g.

ステップごとの説明

Enter the Initial velocity (m/s).
Enter the Launch angle (°).
Enter the Gravity (m/s²).
Click Calculate to see your result instantly.

実例

Example: With Initial velocity (m/s) = 20, Launch angle (°) = 45, Gravity (m/s²) = 9.81, the Projectile Motion Calculator gives Range: 40.7747, Max Height: 10.1937, Flight Time: 2.8832.

よくある質問

What launch angle maximizes range?

45 degrees, assuming launch and landing height are equal and there's no air resistance.

Does this account for air resistance?

No, it's an idealized projectile-motion model that ignores drag.

What inputs does the Projectile Motion Calculator need?

You'll need to provide: Initial velocity (m/s), Launch angle (°), Gravity (m/s²). All fields use sensible defaults, so you can see a working example immediately and then adjust the values to match your own numbers.

How accurate is the Projectile Motion Calculator?

The Projectile Motion Calculator applies the formula exactly as calculated — Range = v²sin(2θ)/g. Max height = v²sin²(θ)/(2g). Flight time = 2v·sin(θ)/g. — so results are precise for the inputs you provide. Accuracy depends on entering correct, realistic input values.

Is the Projectile Motion Calculator free to use?

Yes, the Projectile Motion Calculator is completely free, requires no signup, and runs instantly in your browser.