SUVAT Calculator — Kinematic Equations Solver
The SUVAT equations describe motion with constant acceleration. They link five quantities — displacement (s), initial velocity (u), final velocity (v), acceleration (a) and time (t) — and any problem that gives you three of them can be solved for the remaining two. This calculator does exactly that: type in the three values you know and it applies the correct pair of equations for you.
SUVAT questions are a core part of GCSE and A-level physics and of every introductory mechanics course. The commonest mistake is picking an equation that contains an unknown you do not need; the calculator removes that guesswork by solving the full system at once.
Use the calculator
Enter any THREE values — the calculator solves the other two.
The formula
The five SUVAT equations:
- v = u + at
- s = ut + ½at²
- s = vt − ½at²
- v² = u² + 2as
- s = ½(u + v)t
They are only valid when acceleration is constant.
Worked example
Worked example: A car starts from rest (u = 0) and accelerates at 2 m/s² for 5 s. Final velocity v = u + at = 0 + 2 × 5 = 10 m/s. Displacement s = ut + ½at² = 0 + ½ × 2 × 25 = 25 m. Try it above: enter u = 0, a = 2, t = 5.
Frequently asked questions
What do the letters SUVAT stand for?
S is displacement, U is initial velocity, V is final velocity, A is acceleration and T is time. The name is simply the five symbols of the constant-acceleration equations written in a row.
How many values do I need to use the SUVAT calculator?
Any three of the five values. With three knowns the other two are fully determined, because each SUVAT equation links four of the five quantities.
When can SUVAT equations not be used?
They fail when acceleration changes during the motion — for example a car accelerating then braking, or motion with significant air resistance. In those cases the motion must be split into stages or handled with calculus.