Third Equation Of Motion Position Velocity Relation

Third Equation Of Motion Position Velocity Relation — the NEET Physics formula with its derivation, variables, validity constraints and worked solver.

Third Equation of Motion (Position-Velocity Relation) Valid only for motion in a straight line with constant (uniform) acceleration. Start with the first equation of motion: v = u + at, solve for t: t = (v-u)/a. Substitute t into the second equation of motion: s = ut + 0.5at 2. Simplify the algebraic expression to eliminate t. Rearrange to obtain v 2 - u 2 = 2as. Acceleration must be constant. Motion must be considered along a straight line (1D) or component-wise. s represents displacement, not total distance traveled. Using distance instead of displacement for 's'. Ignoring the signs (direction) of velocity and acceleration. Applying the formula when acceleration is time-varying.