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Kinematic Displacement Calculator — result sheet
Calculate one-dimensional displacement, final position, final velocity, and average velocity under constant acceleration.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: x = x₀ + v₀t + ½at²; displacement is Δx = x − x₀.
Displacement is a signed change in position, not necessarily the total path length. With an initial position, initial velocity, time, and constant acceleration, this calculator reports where the object ends, how far its position changed, and the final and average velocities for the same one-dimensional interval.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Initial position — m; minimum -1000000000000; maximum 1000000000000
- Initial velocity — m/s; minimum -1000000000; maximum 1000000000
- Constant acceleration — m/s²; minimum -1000000000; maximum 1000000000
- Elapsed time — s; minimum 1.0E-6; maximum 1000000000
Worked example
| Input | Value |
|---|---|
| Initial position | 0 |
| Initial velocity | 5 |
| Constant acceleration | 1 |
| Elapsed time | 2 |
The object has a displacement of 12 m, final position 12 m, final velocity 7 m/s, and average velocity 6 m/s.
Assumptions and limits
- Motion is one-dimensional and the entered acceleration remains constant over the entire interval.
- Position and velocity signs follow one chosen axis; a negative displacement means motion opposite that positive direction.
- Time is positive and inputs use SI units; curved paths, changing acceleration, drag, and relativistic effects are outside the model.
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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