Displacement In The Nth Second — the NEET Physics formula with its derivation, variables, validity constraints and worked solver.
Displacement in the nth Second Valid only for objects undergoing constant (uniform) acceleration in a straight line. Define total displacement at time t as s(t) = ut + 0.5at 2. Define displacement at time t-1 as s(t-1) = u(t-1) + 0.5a(t-1) 2. Subtract s(t-1) from s(t) to isolate the interval. Simplify s(t) - s(t-1) to get u + (a/2)(2t - 1). Acceleration must be constant. n must be ≥ 1. Strictly applies to 1D motion. Confusing displacement in the nth second (s n) with total displacement after n seconds (s). Thinking the formula works for non-uniform acceleration. Dimensional confusion: The formula appears dimensionally incorrect (Length = Velocity + Acceleration) unless one realizes there is a hidden factor of '1 second' multiplying u and a.