I have the next car-following model,
$\ddot{x}_n(t)=\lambda[\dot{x}_{n-1}(t)-\dot{x}_n(t)]$,
but I'm wondering how I can "write" this model based on the friction between the vehicle and the road and the geometric structure of the road.
They could help me with some steps of how I should go concatenating the friction and the geometrical structure of the track, I feel that I should consider the dynamics of the vehicle Vehicles dynamics