Kinematics (SUVAT) Calculator
Solve SUVAT kinematics equations for displacement, velocity, acceleration, and time from any three known values.
Results
What is it?
SUVAT equations describe the motion of an object under constant (uniform) acceleration. The five variables are: s (displacement), u (initial velocity), v (final velocity), a (acceleration), and t (time). Any three known values determine the remaining two.
How to use
Enter the values you know into the corresponding fields. You only need three inputs to uniquely determine the rest. Each output row is computed from a different combination of inputs — choose the row that matches your known values. The five classic equations are: (1) v = u + at, (2) s = ut + ½at², (3) v² = u² + 2as, (4) s = ½(u+v)t, (5) s = vt − ½at².
Example scenario
A car starts from rest (u = 0) and accelerates at 2 m/s² for 10 seconds. Enter u = 0, a = 2, t = 10. The "Final Velocity" output gives v = 20 m/s, and "Displacement from u,a,t" gives s = 100 m — the car has travelled 100 metres and is now moving at 72 km/h.
Pro tip
SUVAT equations apply only under constant acceleration. For variable acceleration (e.g., rocket thrust), you need calculus or numerical integration. Always check that your three known values are mutually consistent; contradictory inputs will produce physically meaningless results.