How this calculator works
SUVAT names displacement s, initial velocity u, final velocity v, acceleration a and time t. Each equation omits one quantity, so choose a relation containing the unknown and your three independent known values. Acceleration must remain constant. Squared-velocity equations lose direction information and permit positive or negative velocity roots. Quadratic time equations can have two nonnegative solutions, corresponding to different visits to the same position; choose earlier or later and inspect the returned roots.
Formula
v=u+at; s=ut+at^2/2; s=vt-at^2/2; s=(u+v)t/2; v^2=u^2+2as.
Worked example
For u=2 m/s, a=3 m/s2 and t=4 s, s=32 m and v=14 m/s. With u=2 m/s, v=14 m/s and a=3 m/s2, the elapsed time is 4 s.
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Frequently asked questions
Can displacement be negative?
Yes. Choose one positive direction and keep all signed quantities consistent.
Why are there two possible times?
An object that reverses direction can pass the same position twice. Both roots can satisfy the equation.
Can I use SUVAT with varying acceleration?
Only as a constant-acceleration approximation over the chosen interval. The equations are not exact for arbitrary acceleration.