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General Kinematics (SUVAT) Equations Solver

General Kinematics (SUVAT) Equations Solver

Result
Time (s)Velocity (m/s)
Calculator Scope
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Pick any 3 of the 5 SUVAT variables (initial velocity u, final velocity v, acceleration a, displacement s, time t), enter their values, and this calculator solves for the other 2 - e.g. u=0, a=5 m/s², t=4 s solves v=20 m/s and s=40 m.

This is the comprehensive kinematics calculator: instead of picking a specific SUVAT equation, just select which 3 of the 5 motion variables you know, enter their values, and this calculator determines the appropriate equation(s) and solves for the remaining 2 - shown alongside a velocity-time graph.

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  • Any 3 known SUVAT variables are always enough to solve for the other 2 under constant acceleration - this calculator supports all 10 possible combinations of 3 knowns out of 5 variables.
  • The velocity-time graph is a straight line under constant acceleration - its slope is the acceleration, and the area beneath it equals the displacement.
  • Square-root solutions always take the positive root - if a combination of inputs describes a physically impossible scenario, this calculator reports no solution rather than guessing.

How do I use a general SUVAT solver?

Select which 3 quantities you already know (from u, v, a, s, t) and enter their values - the calculator automatically finds the right combination of equations to solve for the remaining 2.

If I know u=0, a=5 m/s², and t=4 s, what are v and s?

v = u + at = 20 m/s, and s = ut + ½at² = 40 m.