1. The problem statement, all variables and given/known data Prove that the maximum speed (Vmax) of a mass on a spring is given by 2(Pi)fA f = period A = Amplitude (compression) 2. Relevant equations Ek = 1/2mv^2 Et = Ek + Ee 3. The attempt at a solution So from what I understand, Velocity is maximum when total energy is equal to kinetic energy at the point of equilibrium... this confuses me because if velocity is max at point x=0 then A would also=0 and therefore mess up the question... I am missing something... any insight is appreciated.