๐SUVAT Calculator
Enter any 3 of the 5 kinematics variables โ s, u, v, a, t โ and solve for the other 2, with full step-by-step working. SI units throughout.
Free SUVAT Calculator
Struggling with a constant-acceleration motion problem? Our free SUVAT calculator solves the kinematics equations instantly. Enter any three of the five variables โ displacement, initial velocity, final velocity, acceleration, and time โ and it works out the other two immediately, no algebra required.
It doesn't just give you numbers: the solver shows exactly which SUVAT equation it used and the full substitution, so you can follow the method step by step โ perfect for checking homework or learning the derivation. Tricky cases like negative acceleration (deceleration) and quadratic time solutions are handled and explained clearly, instead of producing a confusing or wrong result.
Whether you're studying for a physics exam or double-checking a mechanics problem, this tool gives you the answer and the reasoning behind it. No sign-up, no downloads, no limits. See the About page or the FAQ for more.
About the SUVAT Calculator
Key features
5-variable input
Fill in any 3 of the 5 fields; the other 2 are left blank and solved automatically.
Automatic equation selection
Picks the SUVAT equation combination that avoids requiring an unknown as input.
Step-by-step substitution
Shows the exact equation and numbers used for each unknown.
Quadratic time handling
When s, u, a are known, solving for t is quadratic โ both physically valid roots are shown.
Negative-value support
Deceleration and negative displacement are handled correctly with sign conventions explained.
Consistency validation
Physically inconsistent combinations (negative discriminants, negative times) are flagged rather than shown as a wrong answer.
The five SUVAT equations
v = u + at ยท s = ut + ยฝatยฒ ยท vยฒ = uยฒ + 2as ยท s = ((u+v)/2)t ยท s = vt โ ยฝatยฒ
Frequently Asked Questions
How does the SUVAT calculator work?
Enter any 3 of the 5 known values (s, u, v, a, t); it solves the other 2 using the SUVAT equations and shows the steps.
What does SUVAT stand for?
Displacement (s), initial velocity (u), final velocity (v), acceleration (a), and time (t).
Is it free?
Completely free, no sign-up, downloads, or limits.
Does it show the steps?
Yes, it shows which equation was used and the full substitution for each unknown.
What if I get two answers for time?
Some equations are quadratic in time; the calculator shows both roots and explains which is physically valid.
Can it handle deceleration?
Yes, enter acceleration as a negative value; the calculator handles negative values correctly and explains the sign convention.
What if my inputs don't make sense together?
The calculator checks for inconsistency between your 3 known values and flags it rather than showing a wrong answer.
What units does it use?
SI units throughout: metres, metres per second, metres per second squared, and seconds.
Is my data stored?
No; everything runs in your browser and isn't stored or sent anywhere.
Does it work on mobile?
Yes, fully responsive on all screen sizes.