Uniform Acceleration (SUVAT) Calculator
Work out uniform acceleration (suvat) instantly with clear inputs, formula shown and shareable results.
About Uniform Acceleration (SUVAT) Calculator
The SUVAT equations describe motion at constant acceleration. Given u, a and t the other quantities follow: v = u + at and s = ut + at^2/2. The third relation v^2 = u^2 + 2as is computed as a cross-check; its square root should match the final velocity. Starting at 4 m/s with 3 m/s2 for 6 s covers 78 m and ends at 22 m/s.
Formulas
First equation
v = u + at
Second equation
s = ut + 0.5at^2
Third equation
v^2 = u^2 + 2as
Worked example
With the default values below, Uniform Acceleration (SUVAT) Calculator returns Displacement of 78.000. Change any input above and every figure here is recalculated in your browser.
Inputs used
- Initial velocity u
- 4 m/s
- Acceleration a
- 3 m/s2
- Time tminimum 0 s
- 6 s
Results
- Displacement
- 78.000 m
- Final Velocity
- 22.000 m/s
- Average Velocity
- 13.000 m/s
- v squared From The Third Equation
- 484.000 m2/s2
Step by step
- 1Values used
- 2First equation
- 3Second equation
- 4Third equation
- 5Displacement= 78.000 m
- 6Final Velocity= 22.000 m/s
- 7Average Velocity= 13.000 m/s
- 8v squared From The Third Equation= 484.000 m2/s2
Assumptions and limits
- The result is derived only from the 3 inputs listed above. Anything not among them is not part of the calculation.
- In particular, this calculator does not take inflation, tax, fees or charges or compounding frequency into account.
- Figures are rounded for display to 3 decimal places, so totals built from several rounded parts can differ slightly from the unrounded arithmetic.
How these calculators are built and tested is described on the Methodology page. If a figure looks wrong, please report it.
Frequently Asked Questions
Why is average velocity not the arithmetic mean of speeds?
Under constant acceleration it is - (u+v)/2. The displacement over time is shown here and agrees with that mean.
Do these equations apply to free fall?
Yes, with a set to 9.81 m/s2 downward and drag ignored. They are the same equations.