Madring

the tight line is the one that runs out.

steer an F1 car round the real Madring with one thumb; ask the tyre for a tighter arc than it has and the front runs wide

You steer; the pedals take each corner at the speed its radius allows. A tyre has one budget of grip, and turning spends it, so that speed comes from the radius: v = sqrt(mu g r). Turn in late and tight and you ask for a smaller arc than that speed can hold: the front runs out and you go wide. Wide in, clip the apex, wide out is the biggest arc through a corner.

Concepts: friction, centripetal-force, radius, banking.

An interactive you play with one thumb, on Wundr.