I started wondering about a five mile trip down a road with no wind. There would be four stops and four accelerations each to a constant speed of 60 miles an hour. All the stops are exactly the same. My gut says that I will use more energy if I accelerate hard versus easy but then that is probably because easy acceleration produces an overall slower average speed (thus less aero loss for stretch of road). The real question for me is what the energy usage difference would be if the slow and fast acceleration five mile drives were adjusted so that the average speed was exactly the same. Put differently, it takes X amount of energy to accelerate a given mass to a certain speed. Is there any difference in total energy used to accelerate MS quickly versus slowly all else being equal and, if there is, how much is the difference and why?