SUVAT Calculator

The term SUVAT stands for the five variables of constant acceleration kinematics: s (displacement), u (initial velocity), v (final velocity), a (acceleration), and t (time). Depending on which three variables are known, different foundational equations of motion are applied. For instance, if you know initial velocity, acceleration, and time, you can find final velocity using v = u + at. When time is missing, the velocity-displacement relation v² = u² + 2as is utilized to isolate acceleration or other parameters.

Imagine a test car starting from an initial velocity of u = 10 m/s and accelerating uniformly at a rate of a = 3 m/s² over a time duration of t = 4 seconds. Let us find the final velocity (v) and displacement (s). First, calculate final velocity using the formula v = u + at, which gives v = 10 + (3 × 4) = 22 m/s. Next, find the displacement using s = ut + ½at², yielding s = (10 × 4) + (0.5 × 3 × 4²) = 40 + 24 = 64 meters. The calculator automatically cycles through these exact algebraic routines to deliver instantaneous results.

Always ensure your units are consistent before inputting values into the calculator; standard International System (SI) units use meters for distance, seconds for time, and meters per second squared for acceleration. Pay close attention to signs: if an object is slowing down (decelerating), acceleration must be entered as a negative value. Lastly, double-check whether your initial velocity is truly zero (e.g., an object dropping from rest) or if there is a non-zero starting speed.