Projectile Motion Range Calculator
Range, height and flight time of a projectile.
Enter your values
Enter the launch speed in m/s.
Enter the launch angle in degrees.
Enter the launch height in m.
Results update instantly as you type — no submit needed. Your values are remembered on this device, and the shareable link reopens the calculator with exactly these numbers.
- Range
- 59.87 m
- Max height
- 10.48 m
- Time of flight
- 2.92 s
- Horizontal speed
- 20.48 m/s
- Vertical launch speed
- 14.34 m/s
Quick answer
Range = v^2 sin(2 theta) / g, using standard gravity of 9.81 m/s^2.
R = v^2 sin(2theta)/g
At a glance
| What it does | Range, height and flight time of a projectile. |
|---|---|
| Category | Physics |
| Inputs needed | Launch speed, Launch angle, Launch height |
| Main output | Range |
| Formula | R = v^2 sin(2theta)/g |
| Cost | Free — no sign-up, no download |
How to use the Projectile Motion Range Calculator
- 1Enter the launch speed and angle above horizontal.
- 2Add a launch height if firing from a platform.
- 3Read range, max height and flight time from the results.
Inputs explained
- Launch speed(m/s)
- Enter the launch speed in m/s.
- Launch angle(degrees)
- Enter the launch angle in degrees.
- Launch height(m)
- Enter the launch height in m.
Worked example
Using the values the calculator loads with:
Inputs
- Launch speed25 m/s
- Launch angle35 degrees
- Launch height0 m
Results
- Range59.87 m
- Max height10.48 m
- Time of flight2.92 s
- Horizontal speed20.48 m/s
- Vertical launch speed14.34 m/s
Frequently asked questions
What angle gives max range?
45 degrees gives the maximum range on level ground with no launch height.
Does air resistance matter?
This ideal model ignores drag; real ranges are shorter, especially for light or fast objects.
What do I need to enter into the Projectile Motion Range Calculator?
Just 3 values: launch speed, launch angle, launch height. Every field starts with a realistic example, so you can change one number at a time and watch the result update instantly.
How does the Projectile Motion Range Calculator work out the answer?
Range = v^2 sin(2 theta) / g, using standard gravity of 9.81 m/s^2. It applies the formula R = v^2 sin(2theta)/g and shows the working so you can check each step by hand.
Is the Projectile Motion Range Calculator free, and do I need an account?
It is completely free with no sign-up, no download and no usage limit. Everything is calculated in your browser, so the numbers you type never leave your device.
Results are estimates for general information. For medical, legal, structural or financial decisions, confirm with a qualified professional.