Hotel and Apartment Pipe (Poop) Question

How do hotel and Apartment sewage pipes connect between rooms?

So there my toilet right. Its pipe width is whatever is normal. Does it connect to a bigger diameter pipe?

I'm assuming all the individual rooms poop pipes empty to the same big poop pipe.

If I make an extra big deposit at the poop bank and my neighbor does the same, but I flush just a few seconds before my neighbor, could my poop collide with theirs and clog their toilet?

Is the big central highway poop pipe always full of water?

Sorry for all the questions. I'm counting on you my pipe people

Edit: Oh yeah different floors. Does each floors big poop pipe empty to the same vertical poop pipe?

If I take a poop (in a toilet) on top of floor of a skyscraper, how fast does my poop plummet to the earth?