Between two horizontal plates (distance between the plates =d ) is a third horizontal plate placed, which can move freely in the horizontal direction (see figure). The thickness of the middle plate is negligibly small and is exactly placed in the middle between the top and bottom plate. Both spaces between the plates are filled with a viscous Newtonian liquid, initially in rest. On t=0 the top plate is moved with a constant velocity u to the right, while the bottom plate is kept in rest. a.) Make a clear sketch of the development of the velocity profile of the liquid with time. b.) What is the velocity with which the middle plate will move in steady state conditions