Kinematics Solver — SUVAT Equations
Solve all four SUVAT kinematic equations simultaneously. Enter any 3 of the 5 variables (displacement, initial velocity, final velocity, acceleration, time) and the solver finds the remaining values instantly. No signup, runs entirely in your browser.
Enter any 3 known values. Leave unknowns blank.
Kinematics Tips
Free fall
For free fall, set a = 9.81 m/s² (downward), u = 0, and enter either the height (s) or time (t). The solver finds the impact velocity and time of fall.
Braking distance
For a car braking to rest, set v = 0 and enter initial speed and deceleration (negative a). The solver gives stopping distance (s) and time to stop.
Sign convention
Choose a positive direction (usually the direction of initial motion). Displacement, velocity, and acceleration opposing that direction should be entered as negative values.
Multiple phases
For motion in multiple phases (e.g. accelerating then coasting), solve each phase separately. The final velocity of one phase becomes the initial velocity of the next.
Frequently Asked Questions
What are the SUVAT equations?
SUVAT equations describe motion under constant acceleration. The four equations are: (1) v = u + at, (2) s = ut + ½at², (3) v² = u² + 2as, (4) s = ½(u+v)t. These relate displacement (s), initial velocity (u), final velocity (v), acceleration (a), and time (t).
How many known values do I need?
You need exactly 3 of the 5 variables to solve for the other 2. The calculator automatically identifies which equations can be applied and solves sequentially until all variables are found.
What does SUVAT stand for?
SUVAT is a mnemonic: S = displacement, U = initial velocity, V = final velocity, A = acceleration, T = time. These are the five variables governed by the equations of uniform (constant) acceleration.
Can this handle deceleration?
Yes. Enter acceleration as a negative value for deceleration. For example, a car braking from 30 m/s with a = −5 m/s² will come to rest (v = 0) in 6 seconds over 90 meters.
What if I get a contradictory result?
If the values are physically inconsistent (e.g. final velocity greater than initial with negative acceleration), the solver may not find a valid solution. Check that your values are physically realistic and consistent with constant acceleration.
Is my data stored?
No. All calculations run locally in your browser. No data is sent to any server.