Consider the two-dimensional steady-state flow of a fluid in an infinite horizontal channel as illustrated in the attach

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Consider the two-dimensional steady-state flow of a fluid in an infinite horizontal channel as illustrated in the attached figure.
Knowing that the velocity profile is given by the expressions, u(y) = us(2-y/h).y/h and that v=0, answer the questions below:

1) What is the value of the shear stress at the free surface?
2) Show that this velocity profile satisfies conservation of mass.
3) Obtain an expression for the current function associated with this velocity profile.
4) Check whether or not this flow is irrotational.
5) What is the ratio between the average and maximum velocities of this flow?
6) Is the no-slip condition satisfied on the wall? And on the surface?