Solve any SUVAT kinematics equation — enter 3 of 5 variables (s, u, v, a, t) and calculate the remaining two. Includes velocity profile and motion table.
The five SUVAT equations describe motion under constant acceleration: s (displacement), u (initial velocity), v (final velocity), a (acceleration), and t (time). Each equation relates four of the five variables, so knowing any three lets you solve for the other two. These equations are the foundation of classical kinematics and apply to everything from falling objects to braking cars.
The five equations are: v = u + at, s = ut + ½at², s = vt − ½at², v² = u² + 2as, and s = ½(u+v)t. In practice, you rarely need to memorize all five — they're derived from the first two plus the definition of acceleration. However, choosing the right equation matters because each omits one variable, and you should pick the equation that omits the variable you neither know nor need.
This calculator automatically selects the correct equation based on which three variables you provide. It shows the time-resolved velocity and displacement profile and overlays a reference table of all five SUVAT equations so you can verify the approach.
SUVAT problems appear constantly in physics courses, engineering, sports science, and vehicle dynamics. This calculator handles the equation selection automatically, preventing errors and saving time. The velocity profile visualization helps build intuition about how objects accelerate. Keep these notes focused on your operational context. Tie the context to the calculator’s intended domain. Use this clarification to avoid ambiguous interpretation.
v = u + at. s = ut + ½at². s = vt − ½at². v² = u² + 2as. s = ½(u+v)t.
Result: v = 29.43 m/s, s = 44.15 m
An object in free fall from rest for 3 seconds: v = 0 + 9.81×3 = 29.43 m/s, s = 0 + ½(9.81)(9) = 44.15 m. It falls about 44 meters and reaches ~106 km/h.
Use consistent units, verify assumptions, and document conversion standards for repeatable outcomes.
Most mistakes come from mixed standards, rounding too early, or misread labels. Recheck final values before use. ## Practical Notes
Use concise notes to keep each section focused on outcomes. ## Practical Notes
Check assumptions and units before interpreting the number. ## Practical Notes
Capture practical pitfalls by scenario before sharing the result. ## Practical Notes
Use one example per section to avoid misapplying the same formula. ## Practical Notes
Document rounding and precision choices before you finalize outputs. ## Practical Notes
Flag unusual inputs, especially values outside expected ranges. ## Practical Notes
Apply this as a quality checkpoint for repeatable calculations.
S (displacement), U (initial velocity), V (final velocity), A (acceleration), T (time). These are the five variables in the equations of uniformly accelerated motion.
Each equation omits one of the five variables. This lets you solve problems where one variable is neither known nor needed.
Yes, but separately for horizontal (a=0) and vertical (a=g) components. The two directions are independent in projectile motion.
Then SUVAT equations don't apply. You'd need calculus-based kinematics: v = ds/dt, a = dv/dt, with integration for non-constant a.
No. Displacement (s) is signed — it can be negative if you move backward. Distance is the total path length and is always positive.
Quadratic equations (like s = ut + ½at²) can have two solutions. Usually only the positive-time solution is physically meaningful.