This is most commonly caused by the air control doors closing. This system is vacuum controlled. When acceleration the engine is pulling less of a vacuum and any leaks will cause the doors to move to the "rest" position where they stay when there is no vacuum. Checking for vacuum leaks would be the first place to start.
If the AC is on Vent and it blows hot air in and the temp is at coolest. I think it does not matter because when you have it in vent it is venting air from the out side, it will start blowing air from the out side meaning if its hot out side the air will come out hot. Sometimes a car might blow hot air when you have it on full AC and cooldest. When you accelerate your car hard but it should cool down after you stop accelerating hard.
A hair dryer blows hot air out.
Check coolant level
There is a handle that you pull to close the vent that blows hot air into the balloon.
The Air Conditioner is on
Differences in air pressure.
One thing to do is to check the A/C Relay. Mine wasn't plugged in once and it did that.
If the a/c is blowing hot air then first check the freon levels in the system... If the a/c system is full but shuts off while accelerating then check the power and ground going to the clutch coil and the pressures switches as well.... If the a/c has issues while accelerating then you need to check for a vacuum leak which is a very common problem with a lot of vehicles.........
Well the main reason why your car blows out cold then hot is because the air conditioner may not be working properly. You should go to the car shop and get it fixed.
If the ambient (air) temperature rises and the A/C blows warm air, it probably means that you need to add freon.
the system is probably out of coolant.
Check your Fan Control Module!!! Check your Fan Control Module!!!