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Projectile Range (Level Ground) — result sheet
Horizontal range of a launch that lands at launch height, vacuum model.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: R = v^2 x sin(2A) / g with g = 9.80.
45 degrees maximizes range on level ground; symmetric angles (30/60) match. Drag-free model: real projectiles fall shorter.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Launch speed — m/s; minimum 1.0E-6; maximum 1000000
- Launch angle — degrees; minimum 0.01; maximum 89.99
Worked example
| Input | Value |
|---|---|
| Launch speed | 20 |
| Launch angle | 45 |
Range 40.82 m.
Assumptions and limits
- Launch and landing heights equal; no air resistance.
- g = 9.80 m/s^2; angle strictly inside (0, 90).
- SI units.
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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