What you're asking is basically a physics question. You might want to look into using Netwon or ODE. It's certainly not a DelphiX issue. You'll be using DelphiX as the basic sprite engine but the car handling would be handled by the physics engine.

If I was writing a serious racing game, I'd use Newton or ODE.

If it was just a simple game then I'd fudge some calculations together.


You might want to look at one of these books
Link

I own a copy of Physics For Game Developers by O'Reilly

That has some stuff on Car handling I think... it's been a while since I read it.