Question

Classsical system for which lagrangian depend upon accelration

Answer 1

Nonholonomic constraints depend on the particle velocities, accelerations, or higher derivatives of position. 

Answer 2

Answer:

For conservative systems, there is an elegant formulation of classical mechanics known as the Lagrangian formulation. The Lagrangian function, L, for a system is defined to be the difference between the kinetic and potential energies expressed as a function of positions and velocities