Rebound Velocity Components — the NEET Physics formula with its derivation, variables, validity constraints and worked solver.
Rebound Velocity Components This formula applies to the calculation of rebound velocity components when an object collides with a smooth, rigid wall, assuming the collision occurs in two dimensions. The tangential component of velocity ( u t ) is conserved due to the smooth surface (no friction): v t = u t . The normal component of velocity ( u n ) reverses and scales according to the coefficient of restitution: v n = -e u n . The final total velocity ( v ) is found by combining the perpendicular components using the Pythagorean theorem: v = v n 2 + v t 2 . The angle of reflection ( ) relates to the angle of incidence ( ) by = |v t| |v n| . 0 e 1 (e is the coefficient of restitution ) u n and u t must be the initial velocity components relative to the wall's normal and tangential axes, respectively. Assuming the coefficient of restitution ( e ) is always 1 (this is only true for perfectly elastic collisions). Confusing the initial velocity components ( u n, u t ) with the final components ( v n, v t ). Ignoring the reversal of the normal component (the negative sign in v n = -e u n ).