Not trying hard enough. Anybody with more than one trackday under their belt will find the PS2 unsuitable, you will reach the limits of it quickly and wont be able to push on. It is a road tyre.
I would recomend that anybody new to the track, start with a couple of road tyres, then try the RS2 for example, then work your way through the semi slicks available, possibly according to price, this way you learn more about your driving and the tyre feel. Until you find the tyre that suits your budget and driving.
No comment on the best airfeild tyre as I dont like airfeild days. A048 is my current favourite, looking forward to trying the Federals at that price though. Once you get the bug, extra sets of alloys are a must, along with a decent jack and impact wrench, I normally drive to the event with the RS2's, with 6 semi slicks in the back unless I have another vehicle, rotate them through the day.