Projectile Motion Calculator
Range, height and flight time.
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
- 62.7426 m
- Maximum height
- 13.1618 m
- Flight time
- 3.2762 s
- Horizontal velocity
- 19.1511 m/s
- Impact speed
- 25 m/s
Quick answer
Ignoring air resistance, a projectile's range is v²sin(2θ)/g, maximised at a 45° launch angle.
R = v² sin(2θ) / g
At a glance
| What it does | Range, height and flight time. |
|---|---|
| Category | Science |
| Inputs needed | Launch speed, Launch angle, Launch height |
| Main output | Range |
| Formula | R = v² sin(2θ) / g |
| Cost | Free — no sign-up, no download |
How to use the Projectile Motion Calculator
- 1Enter the launch speed in m/s.
- 2Enter the launch angle in degrees.
- 3Add a launch height if not from ground level.
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 angle40 degrees
- Launch height0 m
Results
- Range62.7426 m
- Maximum height13.1618 m
- Flight time3.2762 s
- Horizontal velocity19.1511 m/s
- Impact speed25 m/s
Frequently asked questions
Why is 45° optimal?
It balances vertical hang time against horizontal speed — only true from level ground.
Does this include drag?
No, it assumes a vacuum; real ranges are shorter.
What do I need to enter into the Projectile Motion 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 Calculator work out the answer?
Ignoring air resistance, a projectile's range is v²sin(2θ)/g, maximised at a 45° launch angle. It applies the formula R = v² sin(2θ) / g and shows the working so you can check each step by hand.
Is the Projectile Motion 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.