Delayed accelerator response

Hi,

I had a 2009 2.7 Diesel A5 for 10 years. It was buttery smooth, loved it. In Jan 2020 I sold it and bought a 6 month old A5 Petrol 40 (1996cc). I bought it because I really enjoyed driving the A5 and I like to go on tours. However, this car is NOT a joy to drive. In important situations like entering a roundabout or at busy junctions, there's a 2 to 5 second delay in the accelerator response, and then it takes off like a rocket. I consider it verging on dangerous.

It's also jerky on normal to hard acceleration from slow speed. It's like a learner driver missing the clutch.

I'm about to put it in the hands of my local Audi dealership who will charge me £120/hr to diagnose the issue. Has anyone else come across this and what are the likely causes? Would it be something covered by warranty? Just trying to get a heads up before I take the plunge with the dealership.

TIA

Craig