A box of mass m slides down an inclined plane that makes an angle 0 with the horizontal as shown. Find a differential equation for the velocity () of the box at time t in each of the following three cases: (i) No sliding friction and no air resistance (ii) With sliding friction and no air resistance (iii) With sliding friction and air resistance In cases (ii) and (iii), use the fact that the force of friction opposing the motion of the box is N, where u is the coefficient of sliding friction and N is the normal component of the weight of the box. In case (iii) assume that air resistance is proportional to the instantaneous velocity. Do not solve the differential equations. (10 pts) friction motion 50 fl mg