Projectile Motion Calculator
Calculate range, max height, and flight time for a projectile launched with given speed and angle.
About this calculator
The Projectile Motion Calculator on NumberCals is a free, mobile-friendly tool for anyone needing to calculate range, max height, and flight time for a projectile launched with given speed and angle. Enter your values in the form below and the result is computed instantly — no sign-up, no installation, no waiting.
Formula used
R = v²·sin(2θ)/g; H = v²·sin²(θ)/(2g); T = 2v·sin(θ)/g
What you'll need
- Initial Velocity (m/s) (e.g. 30)
- Launch Angle (°) (e.g. 45)
- Gravity (m/s², default 9.81) (e.g. 9.81)
What you'll get
- Horizontal Range (m)
- Maximum Height (m)
- Time of Flight (s)
- Horizontal Velocity (m/s)
- Initial Vertical Velocity (m/s)
Formula
R = v²·sin(2θ)/g; H = v²·sin²(θ)/(2g); T = 2v·sin(θ)/g
Result
Frequently Asked Questions
What angle gives max range? +
45° on flat ground in a vacuum. Air resistance pushes the optimal angle lower (~43° for a baseball, ~30° for a shotput).
Limitations? +
Assumes no air resistance, level ground, and constant gravity. Real projectiles deviate considerably at high speeds.
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