First Equation Of Motion Velocity Time Relation — the NEET Physics formula with its derivation, variables, validity constraints and worked solver.
First Equation of Motion (Velocity-Time Relation) Applies strictly to motion with constant (uniform) acceleration. Start with the definition of acceleration: a = dv/dt Rearrange to dv = a dt Integrate both sides: ∫dv = ∫a dt Assume constant 'a' to pull it out of the integral: v - u = a(t - 0) Solve for v: v = u + at Acceleration must be constant. Time t must be non-negative relative to the start. Applying this equation when acceleration is changing (variable acceleration). Confusing displacement 's' with velocity 'v'. Ignoring signs (direction) for vectors u, v, and a.