Trajectory Calculator Form
Enter values below. Results appear above this form after submission.
Example Data Table
Example values below show how the tool can be filled for a classroom-style trajectory study.
| Scenario | Speed | Angle | Height | Gravity | Mass | Time Step |
|---|---|---|---|---|---|---|
| Metric classroom case | 120 m/s | 45° | 2 m | 9.81 m/s² | 8 kg | 0.20 s |
| Low-angle comparison | 85 m/s | 28° | 1.5 m | 9.81 m/s² | 5 kg | 0.10 s |
| Imperial example | 300 ft/s | 38° | 5 ft | 32.174 ft/s² | 12 lb | 0.15 s |
Formulas Used
The calculator uses standard idealized projectile equations with constant gravity and no drag.
How to Use This Calculator
- Select the length, speed, and mass units that match your data.
- Enter initial speed, launch angle, initial height, gravity, mass, and time step.
- Choose decimal precision for the displayed output values.
- Press Calculate Trajectory to show results above the form.
- Review the summary metrics, graph, and sampled data table.
- Use the CSV button for spreadsheet work or the PDF button for reports.
- Compare scenarios by changing inputs and recalculating.
FAQs
1) What does this trajectory visualizer calculate?
It calculates horizontal range, maximum height, time of flight, apex distance, impact speed, vertical impact velocity, and sampled trajectory points. It also estimates kinetic energy from the entered mass. The graph helps visualize the full flight path from launch to landing.
2) Does this tool include drag or wind?
No. This version uses idealized projectile motion with constant gravity only. Wind, drag, thrust, spin, changing air density, and active guidance are excluded. That keeps the model simple, transparent, and suitable for classroom calculations and quick engineering checks.
3) Why do I need to choose units first?
Units control how inputs are interpreted and how outputs are displayed. The calculator converts all values internally, then returns them in your selected display units. Choosing the correct units first helps avoid scale mistakes and keeps the report easier to read.
4) What is the best time step to use?
A smaller time step creates more sampled points and a smoother curve. A larger step reduces table size and loads faster. For most examples, 0.05 to 0.20 seconds works well. Use smaller steps when you want finer detail near the apex and landing.
5) Why is the horizontal velocity constant here?
In ideal projectile motion without drag, no horizontal force changes the horizontal speed. Gravity acts only vertically, so the horizontal component stays constant throughout the flight. Real outdoor motion may differ because drag and wind usually reduce horizontal speed over time.
6) Why does the impact speed differ from the starting speed?
When launch and landing heights differ, the final speed changes because gravitational potential energy changes during the motion. A launch from height usually lands faster than it started in this model. Equal start and end heights tend to give matching speeds in ideal conditions.
7) Is the PDF export suitable for reports?
Yes. The PDF export includes the main inputs, summary results, and a sample of trajectory rows. It works well for internal notes, classroom submissions, and calculation logs. For full datasets, use the CSV file because it preserves every sampled point more conveniently.
8) Can I use this for real flight planning?
No. This page is an educational visualizer, not a real flight-planning tool. Real motion depends on propulsion, drag, structure, stability, environment, and control. Use it for learning, validation, and idealized comparison only, not for operational launch or safety decisions.