1. Low refrigerant level: If the refrigerant level in your air conditioning system is low, it may not be able to cool the air sufficiently. This can cause the air conditioner to shut off to prevent damage to the compressor.
2. Compressor overheat: The compressor is the heart of the air conditioning system, and it can overheat if it is working too hard. Hard acceleration can put a lot of strain on the compressor, causing it to overheat and shut off.
3. Electrical issue: An electrical issue, such as a loose or damaged wire, can also cause the air conditioner to shut off.
4. AC clutch problem: The AC clutch is responsible for engaging and disengaging the compressor. If the clutch is faulty, it may not be able to engage the compressor properly, which will cause the air conditioner to turn off.
If your air conditioner is turning off after hard acceleration, I recommend taking your vehicle to a qualified mechanic to have it diagnosed and repaired.