1. The problem statement, all variables and given/known data An automobile with mass m accelerates starting from rest, while the engine supplies constant power P. a) Show that the speed is given as a function of time by v= (2Pt/m)^(1/2) b) Show that the acceleration is given as a function of time by a= (P/2mt)^(1/2) c) Show that the displacement is given as a function of time by x-x0= (8P/9m)^(1/2)t^(3/2) 3. The attempt at a solution I know that this isn't a difficult question but I always seem to get confused. For a) I started trying to find the derivative v= (1/2)(2P/m) ^ (-1/2)....but I don;t know how to contiue by showing that it's a function of time. If someone could just help me with a i'm sure i'll be fine for b) and c) Thanks!