If one person is on a spaceship which is accelerating at 9.8 m/s/s and another person is stationary floating in space, the person in the spaceship feels the effects of the acceleration while the person floating in space does not. This is the difference between local and outside observer.
So lets go back to the people in/outside the building. If someone jumps in the building, and someone stands outside the building, than the ground needs to be doing something different to "catch up" to the person n the building, because according to you, we're all moving upwards at 9.8 m/s^2
You do understand that the Earth is the spaceship in my analogy, right? Everybody on the Earth has basically the same Frame of Reference. You would have to be floating in space, watching the Earth wiz by in order to be an outside observer.
Why do I feel light I am lecturing to a bunch of middle schoolers?
Maybe you're just not using accurate language, or maybe I'm just not completely focused (if so, apologies, final exam time tends to do that).
Earlier in the thread, you said the earth "speeds up" to meet an object falling. That to me, can lead to one of a few different scenarios.
1) someone jumps, and the entire fabric of the earth changes speed (faster than the 9.8 that you claim it's constantly moving at) to catch the person. This would lead to everyone else in the world experiencing an unanticipated shift in THEIR acceleration, probably knocking them to the ground.
2) someone jumps, and their immediately local space speeds up to bring them back down. This should result in someone separate from the immediate point of jumping, to visibly see something move up, and possibly create new matter beneath them.
I'm not sure if either of those things make sense, I'm feeling a little punch drunk you might say, but hopefully this will.
Imagine you are at ground level, stationary, and able to fire something perfectly vertically at 9.8 m/s, what would happen? (this isn't a trick question, and I know what you'll say so just think about it)
Now, imagine the same projectile, but this time, you yourself are ALSO sustaining an upward movement of 9.8 m/s^2 (meaning, you are already away from the earth and maintaining distance away from it.) what would happen with the projectile?