This is a question whose different versions have been asked here a couple of times, but I don't find a clear answer.
Does the temperature of a gas increase on accelerating the container?
What happens if the acceleration is negative?
I can think of the fact that when a container is under uniform motion (no acceleration), the gas molecules inside are moving due to their Brownian Motion, but also, due to the container's movement. Both of these contribute to the gas molecules' kinetic energy. But I can't figure out what happens when the velocity of the container is increasing (or decreasing, as in negative acceleration).
We can assume the container to be rigid and its walls to be adiabatic. We also assume the postulates of the Kinetic Theory of Gases to be true.
I would appreciate a qualitative explanation instead of one that involves mere formulae.