Kinematics
SUVAT Equations Calculator
Enter any 3 of the 5 SUVAT variables (s, u, v, a, t) — the calculator solves for the remaining two and shows which equation was used.
Enter 3 known values
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m
m/s
m/s
m/s²
s
Known: 3/3 minimum
Examples
Enter at least 3 values above to solve for the remaining variables.
The five SUVAT equations
v = u + at
Final velocity from initial velocity, acceleration and time
s = ut + ½at²
Displacement from initial velocity, acceleration and time
v² = u² + 2as
Final velocity squared from initial velocity, acceleration and displacement
s = ½(u + v)t
Displacement from average velocity and time
s = vt − ½at²
Displacement from final velocity, acceleration and time
SUVAT equations — kinematics under constant acceleration
The SUVAT equations describe motion under constant acceleration. The five variables are: s (displacement), u (initial velocity), v (final velocity), a (acceleration), t (time). Each equation links four of the five — so given any three, you can always find the other two.
SUVAT equations are derived from the definitions of velocity and acceleration. They are the backbone of A-level mechanics and first-year university physics. For projectile motion, the equations are applied separately to horizontal (a = 0) and vertical (a = g) components.
When can't I use SUVAT?↓
SUVAT only applies when acceleration is constant throughout the motion. If acceleration changes (e.g., a rocket burning fuel, a ball experiencing air resistance), you need calculus-based kinematics or numerical methods.
Why are there 5 equations if there are only 5 variables?↓
Each equation omits one variable, allowing you to solve without knowing that variable. The five equations correspond to the five choices of which variable to omit.