Velocity field bewteen two plates, 1 fixed, 1 moving with u=Asin(omega*t)

Two infinite parallel plates are separated by a distance h.  The space between them is filled with a Newtonian fluid, density (rho), viscosity (mu).  The lower plate is fixed, but the upper plate executes a sinusoidal motion. (U=A*sin(omego*t) Calculate the velocity field between the plates, and plot some representative profiles.  

coordinates x-dir along plate
y-dir normal to plate