PeterDonis said:
As others have already pointed out, "moving with a velocity" is meaningless unless you specify relative to what. You are not moving at all relative to the room.
frankin, in case my post was not clear I was referring to your original post:
frankin garcia said:
but in truth the Earth is moving along with the solar system
where you used a reference frame of sorts.
So even though it superficially seems you are 'sitting still in a room' you seemed to understand with respect to some other frame of reference, say the sun in our solar system, you are actually moving. And of course the sun is moving within our galaxy and so forth.
PeterDonis said:
For clarity, the term "proper acceleration" is often used to refer to feeling a force, and the term "coordinate acceleration" is used to refer to the derivative of your velocity with respect to time.
I found the idea of "proper acceleration" very powerful because it is easy to relate to our everday experience when starting out trying to understand relativity. Other parts of relativity are NOT normally experienced at our everyday slow speeds.
There is a nice introduction of some terms here:
https://en.wikipedia.org/wiki/Proper_acceleration
Frankin, if you are interested, consider exploring each term in a source of your choice. Wikipedia is great on some and rather obscure on others.
Here's a nice example of proper acceleration:
"In an accelerating rocket after launch, or even in a rocket standing at the gantry, the proper acceleration is the acceleration felt by the occupants..."
Here is a good source I found recommended in these forums:
http://mathpages.com/rr/rrtoc.htm [Reflections on Relativity]
And you have probably experienced a similar series of accelerations sitting sit in a car, where you feel a 'force' while seated without the vehicle moving along the road, then an additional 'force' as the car accelerates up to highway speed. And there is another acceleration you 'feel' as the car rounds a curve in the road.
If you have studied derivatives in math, many here can assist you in further understanding.