SUVAT Calculator — Kinematic Equations Solver
Enter any three of the five kinematic variables — displacement s, initial velocity u, final velocity v, acceleration a, and time t — and the SUVAT calculator instantly solves for the other two using the equations of uniform acceleration.
m
m/s
m/s
m/s²
s
Net displacement along the direction of motion
How does this calculator work?
SUVAT solves constant-acceleration problems using four equations: v = u + at, s = ut + ½at², v² = u² + 2as, s = ½(u+v)t. Enter any 3 of the 5 variables (s, u, v, a, t) and the calculator finds the missing 2. For free fall from rest, after t = 3 s: v ≈ 29.4 m/s, s ≈ 44.1 m.
Formula
How this is calculated
The four SUVAT equations describe motion under constant (uniform) acceleration in a straight line. They link five variables — displacement s, initial velocity u, final velocity v, acceleration a, and time t — with each equation omitting one variable. Knowing any three of the five is therefore sufficient to determine all five: the calculator detects which pair is missing and applies the appropriate combination of equations.
Common applications include free fall (a = 9.81 m/s² downward, u = 0 for dropped objects), projectile launch speeds, braking distances, and rocket burns. For free fall under gravity, starting from rest, a 3-second fall gives v = 29.43 m/s and s = 44.1 m — results that illustrate how rapidly speed builds under constant acceleration.
Important assumptions: the equations apply only when acceleration is constant throughout the motion. They do not handle air resistance, variable thrust, curved paths or relativistic speeds. For projectile motion in 2-D, apply the SUVAT equations separately to the horizontal (a = 0) and vertical (a = g) components. Displacement s is a vector quantity — a negative result means motion in the opposite direction to the positive axis.
Frequently asked questions
SUVAT stands for the five variables: s (displacement), u (initial velocity), v (final velocity), a (acceleration), and t (time). Together they appear in the four equations of uniformly accelerated motion used in Newtonian mechanics.
The four equations are derived by integrating constant acceleration over time. If acceleration changes, the integrals produce different — often unsolvable in closed form — expressions. For variable acceleration you need calculus or numerical integration (e.g., Euler or Runge–Kutta methods).
Set u = 100/3.6 ≈ 27.78 m/s, v = 0, a = −7 m/s². Using v² = u² + 2as: s = (0 − 27.78²)/(2 × −7) ≈ 55 m of braking distance, plus reaction distance of about 20 m at 0.7 s reaction time, for a total stopping distance ≈ 75 m.
Also known as
TG we-Calculate Editorial Team. (2026). SUVAT Calculator — Kinematic Equations Solver [Online calculator]. TG we-Calculate. https://we-calculate.com/calculator/suvat-calculator
TG we-Calculate Editorial Team. "SUVAT Calculator — Kinematic Equations Solver." TG we-Calculate. 2026. https://we-calculate.com/calculator/suvat-calculator.
TG we-Calculate Editorial Team, "SUVAT Calculator — Kinematic Equations Solver," TG we-Calculate, 2026. [Online]. Available: https://we-calculate.com/calculator/suvat-calculator
@misc{wecalculate_suvat_calculator, title = {SUVAT Calculator — Kinematic Equations Solver}, author = {{TG we-Calculate Editorial Team}}, howpublished = {\url{https://we-calculate.com/calculator/suvat-calculator}}, year = {2026}, note = {TG we-Calculate} }
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