The formula for calculating displacement in motion is S = ut + 1/2 at^2, where S represents displacement, u is the initial velocity, t is the time elapsed, and a is the acceleration. This kinematic equation is applicable for uniformly accelerated motion and helps determine the distance traveled over a specific time period. It is a fundamental concept in kinematics, essential for understanding motion. The formula effectively combines initial velocity and acceleration to calculate total displacement. This explanation clarifies the formula's components and its use in physics.