Here's a now lost chart from Tesla's range/efficiency blog post on Roadster:
As speed increases, aerodynamic effects clearly become the lion's share of overall inefficiency. At 75 MPH Roadster needs 170Wh/mile just to overcome wind resistance. At 55 MPH, it needs just 100Wh/mile. A further drop to 50MPH saves another 30Wh/mile - that's close to the steepest part of the curve.
Overall, you need 335Wh/mi at 75MPH but only 245Wh/mi at 55MPH.
So, driving along at 55MPH and then coasting down a big hill, thereby letting your speed reach 75 MPH for instance, ain't so good. You're losing 90Wh/mile at the higher speed. That's 90/245, or 37% of the potential energy lost. You can probably do better, even with regen losses, by keeping your speed at 55MPH instead. So, I'll say cruise control won't hurt on big downhills.
Now, given the remarkably linear efficiency of Tesla's electric motor (and overall drivetrain efficiency at any speed - see the graph), I'm not convinced there's any
additional penalty from going uphill at different speeds. That is, on flat ground 55MPH takes 245Wh/mi and 35MPH takes about 160Wh/mile. So about 85Wh/mi penalty on flat ground. Going up hill will take more energy, of course, but I'm going to
guess that the difference in efficiency between the two speeds when going uphill is still about 85Wh/mi. As a strawman, let's say up a particular hill at 55MPH takes 345Wh/mi. I'll postulate that up that same hill at 35MPH will take 260Wh. So, the difference, 85Wh, is all from the speed (55 vs 35), not from the hill. If you are willing to go uphill at 35MPH, then you'd might be better off going 50MPH constantly everywhere instead of 55 on flats and 35 uphill.
First - am I being clear with my assertion that the kind of ICE inefficiencies we see at high engine rpms don't apply to EVs? So uphill consumes more energy, but the drivetrain isn't less efficient with EVs as it is with ICEs.
Second - am I correct? If not, what's the real story going uphill?