Wow!
This has been a fascinating thread to follow and my sincere thanks to all who participated. You’ve given me much to think about and I’ve learned a lot. Thank you!
One contributer’s idea really stood out for me, though, in regard to my original specific question: That automatic transmissions (my interest) are designed to shift to the next higher gear based on optimum engine speed.
Duuuuhhhhh! I should have realized and considered that but I’m glad to have it called to my attention.
My personal observations indicate that accelerating too slowly causes the transmission to linger in lower gears longer and lower gears are not typically designed for fuel economy so much as for getting the mass underway.
Similarly, accelerating too fast does indeed keep the transmission in the lower gears longer because the open throttle sends a message to the computer that speed is more important than economy. The engine is allowed to rev higher to gain speed faster and that results in shifting later than if moderate acceleration is used.
So, for me, in my own simple way, the bottom line appears to be “moderate” acceleration will serve my needs the best.
Aha! But what is “moderate”?
BTW, all of this assumes level ground and all other factors being equal so I’m recogizing the variety of variables that could come into play but, for this exercise, I’m ignoring them and concentrating on just acceleration (which no doubt makes me a simpleton but at least then I can understand things a little better).
Back in the carb days, specifically the four-barrel variety, when you stepped on the gas hard enough to open the second set of barrels, you could both feel and hear the change in engine dynamics. It sounded like the engine was going to suck the hood right through the air filter and you had to climb back into the front seat to control the car.
EFI changes the rules, of course, and computer-driven components change them even more but, from what I’ve read here relating to my specific situation and vehicle, I think that “moderate” means listening to the engine to sense when the speed is just short of requiring the engine to take a deeper breath and push harder and that would be the optimum speed for acceleration.
Automatics can’t lug so that’s not an option or a concern but they can be made to shift sooner than later and it behooves the operator to strive to get the shifting to happen as quickly as possible, which precludes both extra-slow and extra-fast acceleration.
It is possible - although not necessarily practical all the time - to accelerate somewhat aggressively from first gear to second, purposely lifting the throttle to allow the transmission to shift gears, then do the same from second to third, etc. With an automatic, that’s probably optimum.
But, practically speaking, you’d come pretty close by just striving to work with mid-throttle so the transmission shifts as quickly as possible
That satisfies me, folks, and I thank you all for helping me to think through all of this.
bc