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Projectile Motion Calculator

Calculate projectile trajectory, range, time of flight

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How to Use

  1. Enter the initial velocity of the projectile
  2. Enter the launch angle in degrees
  3. Optionally enter the initial height (default is 0 for ground level)
  4. Click calculate to get trajectory parameters
  5. View maximum height, time of flight, horizontal range, and velocity components
  6. See the trajectory equation for the projectile path
  7. Copy the results to your clipboard for later use

About This Tool

Our free projectile motion calculator helps you analyze the trajectory of projectiles using fundamental physics formulas. Calculate maximum height, time of flight, horizontal range, and velocity components (Vx, Vy) from initial velocity and launch angle. The calculator also provides the trajectory equation, allowing you to predict the projectile's path at any point. Perfect for students, physicists, engineers, and anyone working with ballistics or motion problems. The calculator supports multiple units for velocity including meters per second, kilometers per hour, and miles per hour. All calculations assume no air resistance and standard gravity (9.81 m/s²). All calculations happen instantly in your browser with complete privacy.

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Frequently Asked Questions

What is projectile motion?

Projectile motion is the motion of an object thrown or projected into the air, subject only to acceleration due to gravity. The path followed is a parabola when air resistance is neglected.

What formulas does this calculator use?

The calculator uses standard projectile motion formulas: Vx = V₀·cos(θ), Vy = V₀·sin(θ), time of flight, maximum height, and horizontal range. It assumes no air resistance and standard gravity (9.81 m/s²).

What units does this calculator support?

Our projectile motion calculator supports meters per second, kilometers per hour, and miles per hour for initial velocity. Results are displayed in meters, seconds, and degrees.

Can I calculate from an initial height?

Yes, you can specify an initial height for the projectile. The calculator will adjust the trajectory calculations accordingly, accounting for the starting elevation.

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