Kinematics motion -- Given position, find velocity and acceleration 1. The problem statement, all variables and given/known data A particle's position as a function of time is given by xf = xi . sin wt, where xi and w are constants. a) Find expressions for velocity and acceleration. b) What are the maximum values of velocity and acceleration. 2. Relevant equations xf = xi. sin(wt) 3. The attempt at a solution a) xf = xi. sin(wt) velocity v = xf' = d/dt xi sin(wt) + xi d/dt sin(w.t) . d/dt w.t xf' = xi cos(wt).w = xi.w.cos(wt) acceleration = v' or xf " = [d/dtxi.w + xi d/dt w]cos(w.t) + xi.w d/dt (cos(w.t) . d/dt (w.t) xf " = x dw/dt cos (wt) - xw^2 sin(w.t) Can someone verify the above steps for me before I proceed to part (b)?