2. A ball is bouncing vertically and perfectly elastically in a standing elevator. The maximal height of bouncing motion is ho. The upward acceleration of the elevator is changing very slowly from 0 to g/2. a) What is the equation for the trajectory in phase space? b) What is the corresponding adiabatic invariant of system? What is the effective acceleration in the moving elevator? c) Find the new maximal height of bouncing motion