מחשבון תנועת פרויקטיל

קישור לשיתוף

מבוא

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.

נוסחה

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

צעד אחר צעד

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

דוגמה מהעולם האמיתי

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.

שאלות נפוצות

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.

אודות מחשבון תנועת פרויקטיל

The Projectile Motion Calculator uses a real, verifiable formula — Range = v²sin(2θ)/g. Max height = v²sin²(θ)/(2g). Flight time = 2v·sin(θ)/g. — so results are accurate every time, not an approximation.

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