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I would be interested in hearing how you attack T3.
Well, I take the diagonal approach. Starting at about "The Rock" sign on the backstraight, I turn toward the worker station and hit the brakes soon after (going ~115ish this weekend. When it's warmer and I'm not spooked by shadows on NASCAR1/2 its closer to 120). I go to 2nd for this turn as well. And here's my secret: I do not go wide for that turn. A lot of people would drive past the worker station to the cone that was placed on the outside edge of the track and then make their turn-in for turn 3. I go maybe 1/3rd of the way over. By mid corner, I'm an placing the left front pretty much on the grass. I am apexing well before the cone placement this weekend.
Some instructors insist I'm leaving time on the table and my line is junk, but I turn a 1:10.X lap in a 15 year old Sentra. Uhh, OK....whatever.
Chris Schimmel ate my lunch and still made me pay for it last year doing that line. It took a second of my lap time.
I have a theory (and others disagree) that when you reach a certain speed on a road course (I'd say below 50 mph) that autocross rules start taking precedent. Autocross rule sez: minimize distance where you are going slow. That's a slow corner. I'm in it far less than anyone else, meaning I'm spending less time going slower than you (not you in particular, but the plural "you" in general). OK, so you're 2 mph faster out of that turn. I spent at least a second less going 50 mph than "you" (again, plural). And that straight afterward isn't all that long. A 3rd gear straight just isn't long enough to use that extra mph or so.