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Projectile Motion Visualizer – Free Online Scientific Calculator
Calculate range, maximum height, time of flight and trajectory without drag on level ground.
Interactive & 100% Free: Enter your values directly in the calculator above or change the default inputs below to compute outputs instantly in your browser. All computations run locally for immediate privacy and high performance.
What this tool calculates
Model ideal ballistic trajectories. This computational model is built for university students, educators, lab researchers, and practicing engineers who need transparent, verified scientific calculations.
Calculation method and underlying formula
Constant gravity and zero air drag: x=v₀cos(θ)t, y=h+v₀sin(θ)t−½gt².
The calculation evaluates relationships between input variables according to standard scientific principles. Inspect the editable parameter table below to test specific values.
Step-by-step calculation guide
- Input Parameters: Enter the required values into the parameter table below.
- Model Evaluation: The system automatically evaluates the governing equations locally with high numerical precision.
- Analyze & Export: Review the calculated outputs, inspect the generated curve plot, and download publication-ready reports or CSV data.
Worked example: default input values
The default worked example demonstrates calculation with the following parameters. You can modify any value in the interactive panel to re-evaluate your specific scenario:
| Parameter | Example value | Unit |
|---|---|---|
| Initial velocity (m/s) | 20 | — |
| Launch angle (degrees) | 45 | — |
| Gravity (m/s²) | 9.81 | — |
| Initial height (m) | 0 | — |
Worked example results
Based on the default parameters entered above, the model computes the following quantities:
| Calculated quantity | Output value | Unit |
|---|---|---|
| Time of flight | 2.88321 | s |
| Horizontal displacement | 40.7747 | m |
| Maximum height | 10.1937 | m |
| Initial horizontal speed | 14.1421 | m/s |
| Initial vertical speed | 14.1421 | m/s |
Assumptions and interpretation
- Horizontal displacement can be negative for launch angles greater than 90°.
- Model assumes a flat plane and uniform gravity.
Educational calculations are not substitutes for professional engineering design approvals, certified laboratory assays, clinical diagnostics, or peer-reviewed scientific publications. Always inspect units, verify physical domains, and evaluate boundary conditions.
Frequently asked questions (FAQ)
How does the Projectile Motion Visualizer calculator work?
The calculator computes results locally in your browser using the established mathematical model: Constant gravity and zero air drag: x=v₀cos(θ)t, y=h+v₀sin(θ)t−½gt².
What are the input parameters for Projectile Motion Visualizer?
The required parameters include: Initial velocity (m/s) (dimensionless), Launch angle (degrees) (dimensionless), Gravity (m/s²) (dimensionless), Initial height (m) (dimensionless).
What assumptions apply to this Projectile Motion Visualizer model?
Horizontal displacement can be negative for launch angles greater than 90°.. Model assumes a flat plane and uniform gravity.
Can I export results from this calculator?
Yes. OpenSTEMTool supports exporting publication-ready SVG charts, PNG graphics, raw CSV data tables, JSON parameter archives, and printable HTML/PDF scientific reports.
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