Which is the faster way to reach the opposite side of earth : along the rotation of earth or in the opposite?

Question

Just need to know under ideal conditions if i start from some point above the earth surface, in the atmosphere to go to the oppisite side of earth above the equator line, which will be the faster way: going along the rotation of earth or going in the opposite direction , at starting point my relative velocity to earth surface is zero

Answer 1

It makes no difference because the atmosphere also rotates with earth. It is as good as moving in a train.

Answer 2

You share the rotational speed of the Earth.  It makes no difference, as long as you are in the atmosphere, which direction you go.   Things can get a bit more complicated if you change altitude enough to get above the atmosphere.

Answer 3

If the Earth is spinning in the opposite direction you are traveling, then you will have to travel a shorter distance to reach a point  on the opposite side of the earth