1. The problem statement, all variables and given/known data Show that this statement is false: when a moving particle along a curve reaches its max. speed at t=3, its acceleration is 0. 2. Relevant equations a = d^2 R / dt^2 = d|v|/dt * T + k |v|^2 N where k = |dT/ds|, T = v/|v|, N = 1/k dT/ds 3. The attempt at a solution |v| is max at t = 3 so it is nonzero so the second term in acceleration should be nonzero and hence a nonzero total acceleration will result. I think the first term could, however, be 0 since the derivative of the speed will be 0 at this point. Is this correct? Is there a proper way to show this?