The Projectile Motion Calculator finds the range, maximum height, and time of flight of an object launched at an angle. Simply fill in the fields above and click Calculate to get an instant result.
This calculator is part of Calculate Wiki’s Math Calculators collection.
What You’ll Need
- Initial Velocity
- Launch Angle
- Initial Height — optional, defaults to ground level
Formula Used
Range = vₓ × Time of flight
Max height = h₀ + vy² ÷ (2g)
Time of flight = (vy + √(vy² + 2gh₀)) ÷ g
Example Calculation
Using example inputs — Velocity = 20 m/s; Angle = 45°; Initial Height = 0 — the Projectile Motion Calculator returns:
| Value | Result |
|---|---|
| Horizontal range | 40.77 m |
| Maximum height | 10.19 m |
| Time of flight | 2.88 s |
40.77 m range, reaching a maximum height of 10.19 m.
Helpful Information
Results from the Projectile Motion Calculator are estimates based on standard formulas used in the math calculators field, assuming no air resistance and standard Earth gravity (9.81 m/s²).
Frequently Asked Questions
Is the Projectile Motion Calculator free to use?
Yes — the Projectile Motion Calculator on Calculate Wiki is completely free, with no sign-up required.
How accurate is the Projectile Motion Calculator?
The Projectile Motion Calculator uses a standard, well-documented formula from the math calculators field. Results assume ideal conditions with no air resistance.
Can I use this on my phone?
Yes, this calculator is fully mobile-friendly and works on any modern browser.
What does the result mean?
For the example values shown above (20 m/s at 45°), the projectile travels 40.77 m and reaches a height of 10.19 m.