Hi everybody! I am facing a problem in calculating the theoretical minimum power requirement P of accelerating a mass m a distance x in a time t in a two-stage acceleration process. Stage 1: Constant force acceleration amax (maximum grip of the tires of a car limits acc.) Stage 2: Constant power acceleration a (maximum power of the cars engine limits acc.) Calculating either stage by itself did not prove that difficult, but calculating stage 2 when the initial velocity v1 is not equal to zero was where I hit a roadblock. I found this thread that may be of help with stage 2: https://www.physicsforums.com/threads/formulas-for-constant-power-acceleration.639913/ I would very much appreciate any help!