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Projectile Maximum Height from Launch Point Calculator — result sheet
Calculate a projectile’s highest vertical position and time to apex from launch conditions.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: Maximum height=launch height+(v sinθ)²/(2g); time to apex=v sinθ/g.
The vertical component controls the rise above the launch point; adding launch height gives the absolute apex level.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Initial speed — m/s; minimum 0; maximum 1000000
- Launch height — m; minimum 0; maximum 1000000000
- Launch angle — degrees; minimum -89.999999; maximum 89.999999
- Gravitational acceleration — m/s²; minimum 1.0E-6; maximum 10000
Worked example
| Input | Value |
|---|---|
| Initial speed | 20 |
| Launch height | 10 |
| Launch angle | 45 |
| Gravitational acceleration | 9.80665 |
Maximum height ≈20.197 m; time to apex ≈1.442 s.
Assumptions and limits
- Gravity is constant and downward; air resistance is ignored.
- Launch height is measured from the chosen reference level.
- The angle is measured from horizontal.
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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