Water enters a wide, flat channel of height 2h with a uniform velocity of 2.5 m/s. At the channel outlet, the velocity distribution is given by the equation below, where y is measured from the centerline of the channel. Assume steady, incompressible flow, density 1000 kg/m3 . Determine the a. Mass flux at the entrance. (5 points) b. Mass flux at the exit. (5 points) c. Rate of change of mass with time within the channel. (5 points) d. Exit centerline velocity, umax. (5 points)