me said:
Why do people keep describing it as "accelerating" due to "gravity" at g m/s/s? Why was it all right to discuss objects accelerating towards terminal velocity before, and no-one said "No, they're not accelerating."
John, it's quite simple. Sometimes we don't use an inertial reference frame to discuss motion. Since we live in an accelerating world, we tend to use a reference frame that is also being accelerated at 9.8 m s-2 away from the earths center. From our accelerating reference frame, we describe the motion of a ball tossed into the air as being accelerated by gravity instead of the reality that we are being accelerated towards the free floating ball by the repulsive force of the ground we stand on.
Accelerometers are generally ignorant of our chosen accelerating reference frame so they measure acceleration with regard to their own inertial reference frame and therefore claim that they are being accelerated when at a fixed point on the surface of the earth.
Thanks, Dan. It is becoming simpler, and it's not exactly that I didn't understand or had never heard this GR version of events. My question was not meant as "How is it possible to describe things that way?", but "Why, after quite a lot has been said about the adequacy of classical mechanics to describe such things as elevators or thrown balls, is it now not adequate to do so?" (and I'm getting lectured like I never heard of Einstein). Your replies, like others', are fine answers of the first. I specifically asked the second a few times.
Let me put it this way: yes, Dan, that's quite simple

boggled

. However, classical mechanics is
simpler. In that view, a ball resting in your hand feels the force of gravity, opposed by the normal force, and when thrown, after you accelerate it upwards from rest (w.r.t. you) with your muscles, gravity accelerates it downwards as soon as it leaves your hand. It describes just the same path as in the less simple version ... y'know, give or take. Interestingly, this is simpler both from a normal intuitive human point of view, but actually helps make sense of two people on either side of the earth throwing balls, or everyone doing so. The strange idea "the reality that we are being accelerated towards the free floating ball by the repulsive force of the ground we stand on", raises the question of how points on the earth can all be accelerating outwards away from its centre by that repulsive force, yet apparently not get any further away from each other, while this is the explanation of how they meet up with the ball?
"Gravity is weird" is the sporkian answer that I like very much. Einstein's General Relativity is weird, too. It may be "the reality" like you say. It may be just another physical theory. It might be a theory that is better than classical mechanics for some purposes, and much more extensive. It applies when c.m. does not, when masses and velocities are very large. We were discussing elevators and stuff, not black holes.
I just find this movement of goalposts rather interesting, from c.m. to Relativity, after humber was bashed several times with the assertion that you don't need anything besides c.m. for these problems.
I find it interesting that you are now trying to imagine in what circumstances
you could not distinguish a gravitational field from acceleration, and have dug yourself a nice spherical hole in a homogenous sphere.
However, assuming your "reality" is right, then my objection to Michael's assertion is answered. It does, however, seem a very sudden jump he made from c.m. to the walls of a building accelerating upwards, yet not getting anywhere, past a non-accelerating elevator. I'd have just mentioned it in passing, you know, like "according to Einstein..." so we knew what the new game rules were.