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Projectile Motion Calculator — result sheet
Estimate flight time, horizontal range, and maximum height for ideal level-ground projectile motion.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: Time = 2v sinθ/g; range = v² sin(2θ)/g; maximum height = v² sin²θ/(2g).
The model resolves the initial velocity into horizontal and vertical components and assumes level launch and landing heights.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Initial speed — m/s; minimum 1.0E-6; maximum 1000000
- Launch angle — degrees; minimum 1.0E-6; maximum 89.999999
- Gravitational acceleration — m/s²; minimum 1.0E-6; maximum 1000
Worked example
| Input | Value |
|---|---|
| Initial speed | 20 |
| Launch angle | 45 |
| Gravitational acceleration | 9.80665 |
Flight time ≈ 2.884 s; range ≈ 40.775 m; maximum height ≈ 10.197 m.
Assumptions and limits
- Air resistance, wind, rotation, and terrain are ignored.
- Launch and landing occur at the same height.
- The angle is between 0 and 90 degrees and gravity is constant.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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