RE: Understanding Cognition: The Dissonance Of Flat Earth
My point was that earth's escape velocity is roughly 11.2 km/s, about 33 times the speed of sound. This is due to earth's gravitational mass the way Newton describes.
For all practical purposes, the real figure is higher - due to air resistance. But it doesn't really matter, with rockets and continuous acceleration it's no need to get up in such kind of speeds. Besides, most space transport does not escape gravity, it merely goes up to low earth orbit.
Rather they say that we are accelerating upwards at 10 ms/2 (presumably going many millions of times the speed of light at this point in history.)
So if that were the case, the earth's escape velocity wouldn't be 11.2 kilometres per second it would be around 11 metres per second (regardless of acceleration).
I don't understand your reasoning.
If earth is accelerating, then no matter what speed one jumps with, one will eventually fall down again at some point. While gravity can be escaped by speed alone, continuous acceleration can only be escaped by a greater continuous acceleration.
Wind resistance does play a factor however if you are on a body moving at 10 ms/2 then you too are accelerating. Also you could escape if you jumped at an angle near the edge of said body.
However yes, you would be caught eventually if you carried on going straight up. This doesn't change the fact that escape velocity would be a lot lower than 11.2 km/s though :-)
Although as I said earlier, the earth accelerating upwards theory can be killed by the fact that we're not moving at light speed or more.
Cg
Let's ignore the air resistance for a bit to make it easier. Let's leave out the edges too (no flat-earther has fallen off the edge and lived to tell the tale), and horisontal acceleration.
In this "accelerating pancake"-paradigm, one is accelerating together with the ground as long as one is standing on the ground. The acceleration of the ground exerts a force on your feet (or, more probably, your ass - we've apparently gone from being homo erectus to being homo sedes). As soon as your feet leaves the ground (or someone pulls the chair away from you), you stop accelerating, and the pancake will soon overtake you, with great pain. Exactly the same is observed if we exchange the accelerating pancake with a gravity ball.
This is not a fact, this seems like a misunderstanding. Escape velocity in an "accelerating pancake"-paradigm must be much higher - actually, infinitely high.
When disregarding the above-mentioned complications, when travelling vertically with the escape velocity and without any further acceleration one will eventually leave the system. In the gravity-ball-paradigm one will leave the system because gravity tapers out with the distance. In the accelerating-pancake-paradigm, one will never leave the system. No matter how much vertical speed an object have, the flat earth will sooner or later overtake the object. You can never reach any escape velocity.
Of course, now I'm having a mental model of a pancake accelerating through space in my head. It may be that the details differ. As far as I've heard, there is a dome above our heads, and the starts are attached to said dome (what about the planets?). With that in mind, sooner or later one will hit the dome if travelling too fast. Perhaps it's made of glass and that one will crash through it. Perhaps that's to be considered an "escape" and hence the escape velocity is smaller in the flat-earth paradigm. The only way to find out is to build a rocket powerful enough to actually crash with the said dome. As far as I can tell, Mad Mike did not crash with the dome yet, hence he cannot do any estimations on the escape velocity.