1. The problem statement, all variables and given/known data #23 https://aapt.org/physicsteam/2010/upload/2009_F-maSolutions.pdf 2. Relevant equations P = Fv 3. The attempt at a solution T = 2∏√(k/m) x = Asin(wt) v = Awcos(wt) a = -Aw2sin(wt) We are trying to maximize power, which is both dW/dt and Fv. Force is ma, given that mass is constant, we need to maximize acceleration. We need to maximize the velocity as well. Writing this out: Power = Fv = -A^2w^3sin(wt)cos(wt) To maximize sin(wt)cos(wt), we should let (wt) = pi/4 wt = pi/4 2pi/Tt = w 2pi /Tt = pi/4 2/Tt = 1/4 1/T = 1/8t T = 8t This is utterly wrong. How can I do this?