Formula used
For constant acceleration (straight-line motion), these relationships are used:
- Δs = u·t + ½·a·t² (distance from initial velocity, acceleration, and time)
- v = u + a·t (final velocity from constant acceleration)
- v² = u² + 2·a·Δs (distance without time)
- Δs = v̄·t with v̄ = (u+v)/2 (average velocity form)
Signs matter: braking typically uses a negative a. The calculator keeps direction in the result.
How to use this calculator
- Choose a mode that matches the values you already know.
- Enter numbers and pick the correct units for each field.
- Use a negative acceleration for deceleration or braking.
- Click Calculate to see displacement and related outputs.
- Use Download CSV or Download PDF to export results.
Example data table
| Mode | u | v | a | t | Δs (computed) |
|---|---|---|---|---|---|
| u,a,t | 5 m/s | — | 2 m/s² | 6 s | 66 m |
| u,v,a | 0 m/s | 30 m/s | 3 m/s² | — | 150 m |
| v,a,t | — | 20 m/s | −2 m/s² | 4 s | 72 m |
| s0,u,a,t | 12 m/s | — | 1.5 m/s² | 10 s | 195 m (s0 + Δs) |
| u,v,t | 10 m/s | 18 m/s | — | 8 s | 112 m |
Tip: If your output is negative, the motion is opposite your chosen positive direction.