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SUVAT Constant-Acceleration Calculator — result sheet
Calculate final velocity, displacement, final position, and average velocity for one-dimensional motion with constant acceleration.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: Final velocity v = u + at; displacement s = ut + ½at²; final position x = x₀ + s; average velocity over the interval = (u + v)/2.
SUVAT is a family of constant-acceleration equations. This WorldCalculate contract uses the measured initial velocity, constant acceleration, elapsed time, and starting position to calculate a forward motion scenario; it does not silently solve a different missing-variable problem.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Initial velocity — m/s; minimum -1000000; maximum 1000000
- Constant acceleration — m/s²; minimum -1000000; maximum 1000000
- Elapsed time — s; minimum 0; maximum 1000000
- Initial position — m; minimum -1000000000; maximum 1000000000
Worked example
| Input | Value |
|---|---|
| Initial velocity | 5 |
| Constant acceleration | 2 |
| Elapsed time | 8 |
| Initial position | 0 |
Final velocity is 21 m/s, displacement is 104 m, final position is 104 m, and average velocity is 13 m/s.
Assumptions and limits
- Motion is one-dimensional and all signed values use the same positive direction.
- Acceleration is constant throughout the entered interval.
- Time is nonnegative and position is measured from the visitor’s chosen origin.
- The average-velocity relation uses the constant-acceleration model, not an arbitrary changing-speed path.
- Air resistance, friction, impacts, turning points in multiple dimensions, and relativistic effects are not modeled.
- A negative final velocity or displacement is a direction result, not an input error.
- Use measured or course-specific units consistently and check whether constant acceleration is appropriate.
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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