Consider incompressible flow between two parallel plates a distance, \(H=0.5 \mathrm{~cm}\), apart. The top plate is moving with a velocity to the right of \(1 \mathrm{~m} / \mathrm{s}\). There is also a constant pressure gradient that is resisting the flow in the \(x\)-direction with a magnitude of 2 pascals per meter. The dynamics viscosity of the fluid is \(2 \times 10^{-5} \mathrm{~Pa} \cdot \mathrm{s}\). Determine the velocity at the midpoint of the parallel plates.