I have a ford 93 thunderbird. Every time I press down on the gass the ac stops blowing air why is this?

When you speak of the AC stops blowing I assume you mean the AC, as in cold air stops blowing, and the fan speed remains the same. I belive that car has a vacuum switch that under low vacuum (heavy acceleration) the AC compressor will drop out allowing more of the engine's power to go to the rear wheels rather than make cold air. If you find the AC drops out at slight acceleration I suspect his switch is failing and would require replacement.

I hope this may have assisted you,
Tom

This is to give you more power when needed,it was designed to do this.