Projectile Range Calculator
Range, height and flight time.
Enter your values
Enter the launch speed in m/s.
Enter the launch angle in °.
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
- 64.48 m
- Max height
- 14.66 m
- Flight time
- 3.37 s
- Impact speed
- 25.58 m/s
Quick answer
Projectile range is maximised at a 45 degree launch angle in a vacuum.
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 Range Calculator
- 1Enter the launch speed.
- 2Enter the launch angle above horizontal.
- 3Add the launch height above the landing plane.
Inputs explained
- Launch speed(m/s)
- Enter the launch speed in m/s.
- Launch angle(°)
- Enter the launch angle in °.
- 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 °
- Launch height1.5 m
Results
- Range64.48 m
- Max height14.66 m
- Flight time3.37 s
- Impact speed25.58 m/s
Frequently asked questions
Is 45° always optimal?
Only from ground level — launching from height favours a slightly lower angle.
Does this include drag?
No — real ranges are shorter, especially for light objects.
What do I need to enter into the Projectile 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 Range Calculator work out the answer?
Projectile range is maximised at a 45 degree launch angle in a vacuum. It applies the formula R = v² sin(2θ) ÷ g and shows the working so you can check each step by hand.
Is the Projectile 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.