Projectile Motion Calculator
Calculate projectile flight time, range, height, and velocity components
About this calculator
The Projectile Motion Calculator resolves a launch speed and angle into horizontal and vertical velocity components, then solves the kinematics of flight under constant gravity: time of flight, horizontal range, and maximum height, with support for a non-zero launch height and a custom gravity value. It rejects non-positive gravity and negative speeds, and flags geometrically impossible launches. Ideal for physics homework and ballistics estimates.
How to use the Projectile Motion Calculator calculator
- Enter the quantities you know, using the units shown on each field.
- Read the computed results — they update instantly as you type.
- Use the visual explanation to see how the quantities relate.
- Copy the page URL to share the exact calculation.
Common examples
- 20 m/s at 45° from ground level (g = 9.81 m/s²) → range 40.774720 m, flight time 2.883208 s, max height 10.193680 m
- 30 m/s at 60° → vx = 15 m/s, vy ≈ 25.98 m/s, range 79.451872 m, apex 34.403670 m
- 15 m/s at 30° from a 2 m platform → flight time 1.760642 s, range 22.871411 m
- Horizontal throw: 10 m/s at 0° from 20 m up → lands after 2.019275 s, 20.192751 m away
Frequently asked questions
How does the Projectile Motion Calculator calculator work?
Enter the known quantities and the calculator applies the governing physical law or scientific formula to find the unknowns, stating the equation it used and the units of every result. Computations run at high precision.
When would I use the Projectile Motion Calculator calculator?
It suits physics and chemistry homework, lab work, engineering estimates, and any time you want to explore how changing one quantity affects the others in a well-defined scientific relationship.
How accurate are the results?
The formula itself is evaluated at 30 significant digits of precision. Keep in mind that idealized models — such as neglecting friction, air resistance or measurement error — bound the real-world accuracy more than the arithmetic does.
Can I share a specific calculation with someone else?
Yes. Every value you enter updates the URL, so copying the address bar and sharing the link reopens the exact same calculation for whoever clicks it.