SUVAT Calculator (Equations of Motion)
Choose which three quantities you know and enter them.
Your numbers
Your results
Displacement s (m)
Displacement s (m)
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Initial velocity u (m/s)
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Final velocity v (m/s)
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Acceleration a (m/s²)
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Time t (s)
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SUVAT Calculator (Equations of Motion) by TheCalcTools
How the SUVAT Calculator (Equations of Motion) works
For constant acceleration the five quantities s, u, v, a and t are linked by v = u + at, s = ut + ½at², s = ½(u + v)t and v² = u² + 2as. Any three determine the other two.
Use negative values for motion or acceleration in the opposite direction, for example −9.81 m/s² for gravity when up is positive.
The formula
v = u + at; s = ut + ½at²; v² = u² + 2as; s = ½(u + v)t
Worked example
Using the default values shown in the calculator:
| I know | u, a and t |
|---|---|
| Initial velocity u (m/s) | 5 |
| Final velocity v (m/s) | 25 |
| Acceleration a (m/s²) | 2 |
| Time t (s) | 10 |
| Displacement s (m) | 150 |
- Starting at 5 m/s and accelerating at 2 m/s² for 10 s: v = 25.0000 m/s and s = 150.0000 m.
Result:
| Displacement s (m) | 150.0000 |
|---|---|
| Initial velocity u (m/s) | 5.0000 |
| Final velocity v (m/s) | 25.0000 |
| Acceleration a (m/s²) | 2.0000 |
| Time t (s) | 10.0000 |
Frequently asked questions
Do these work for falling objects?
Yes, ignoring air resistance: use a = 9.81 m/s² downward.
Sources and further reading
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This calculator gives estimates for information only. Check important results independently before you rely on them. See our disclaimer.