Trajectory Calculator
Estimate ideal projectile trajectory values from initial speed, launch angle and launch height without air resistance.
Calculator workspace
Enter your values, then calculate to see the result and supporting figures.

How This Trajectory Calculator Works
Estimate ideal projectile trajectory values from initial speed, launch angle and launch height without air resistance. The rebuilt page uses calculator-specific logic rather than the legacy page script. Inputs are validated before calculation, and supporting figures are shown with the headline result so the arithmetic is easier to check.
Core method: Time solves y=h+v sinθ·t−½gt²; range = v cosθ·time; max height = h+(v sinθ)²/(2g).
How to Use It
- Enter the values requested in the calculator workspace.
- Select Calculate and correct any input highlighted by validation.
- Review the main answer, supporting figures and formula/method shown with the result.
- Use Copy Result, Share Result or Save Result Image if you need to keep the calculation.
Worked Example
At 20 m/s and 45° from ground level, ideal range is about 40.8 m.
Common Uses
- Physics education
- Projectile demonstrations
- Idealized trajectory checks
Common Search Questions About Trajectory Calculator
How do I calculate this?
Estimate ideal projectile trajectory values from initial speed, launch angle and launch height without air resistance.
What formula does this calculator use?
Time solves y=h+v sinθ·t−½gt²; range = v cosθ·time; max height = h+(v sinθ)²/(2g).
How can I get the result quickly?
Enter the required values and select Calculate. The rebuilt mobile interface brings the result into view instead of leaving it far below the form.
Important Limitations
This ideal model ignores air resistance, wind, spin, lift, terrain and object shape. It is unsuitable for weapons targeting or safety-critical prediction.
Frequently Asked Questions
Does the calculator upload my inputs?
No. The calculation runs in the browser and does not require an account.
Can I calculate again with different values?
Yes. Change any input and calculate again to compare scenarios.
Should I verify important results?
Yes. For high-impact financial, legal, health, engineering or contractual decisions, compare calculator output with current source information and appropriate professional guidance.