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Uniform Acceleration Motion — result sheet
Find final velocity and displacement from initial velocity, constant acceleration, and time.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: v = u + a*t; s = u*t + 0.5*a*t^2.
With constant acceleration, velocity changes linearly and displacement is the area under the velocity-time graph. Signed inputs give direction along one axis; this is straight-line motion only.
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/s^2; minimum -1000000; maximum 1000000
- Time — s; Nonnegative elapsed time.; minimum 0; maximum 1000000000
Worked example
| Input | Value |
|---|---|
| Initial velocity | 0 |
| Constant acceleration | 2 |
| Time | 5 |
Final velocity: 10 m/s; displacement: 25 m.
Assumptions and limits
- Acceleration is constant over the whole interval.
- Motion is along one straight line; SI units are used.
- Time is nonnegative. Air resistance and relativity are not modeled.
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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