SUVAT Calculator

SUVAT is an acronym for the five variables used in the equations of motion under constant acceleration: S = displacement, U = initial velocity, V = final velocity, A = acceleration, and T = time. These variables define the kinematic state of an object moving in a straight line with uniform acceleration.

There are five main SUVAT equations: (1) v = u + at, (2) s = ut + ½at², (3) s = vt − ½at², (4) v² = u² + 2as, and (5) s = ½(u + v)t. Each equation omits one of the five variables, so you can always find an equation that works given your three known values.

The five SUVAT formulas are: v = u + at (no s), s = ut + ½at² (no v), s = vt − ½at² (no u), v² = u² + 2as (no t), and s = ½(u + v)t (no a). These equations only apply when acceleration is constant throughout the motion.

Use the SUVAT equation v² = u² + 2as, which relates displacement, initial velocity, final velocity, and acceleration without involving time. Rearranging gives a = (v² − u²) / (2s).

No — you only need to know three of the five variables. Enter the three known values and leave the other two fields blank. The calculator will identify which equations apply and solve for both unknowns automatically.

Yes, but you must apply them separately to the horizontal and vertical components of motion. Vertical motion has constant acceleration due to gravity (approximately 9.81 m/s² downward), while horizontal motion has zero acceleration (constant velocity) in ideal conditions.

Using v = u + at: a = (v − u) / t = (25 − 0) / 5 = 5 m/s². The car accelerates at 5 metres per second squared. You can verify this by entering u = 0, v = 25, and t = 5 into the calculator above.

SUVAT equations are derived by integrating constant acceleration over time. If acceleration changes during the motion, the relationships between displacement, velocity, and time become non-linear and require calculus or numerical methods to solve — the simple algebraic SUVAT equations no longer hold.