PROBLEM $2\mathrm{.}9$:

Water at $20C$ flows between two plates. Velocity profile equation is given with the

equation below, in which y defines the distance from the plate at the bottom.

$u=10(0\mathrm{.}01y-y^2)$

According to this,

a$)$ What is the distance between the plates $(Y)?$

b$)$ What is the shear stress at the plate at the bottom $(\{$:${}_{\text{b}\text{o}\text{t}\text{t}\text{o}\text{m}})?$

c$)$ What is the shear stress at the $20m$ away from the bottom plate $({}_{20m})?$

d$)$ What is the distance at which $=0?$

e$)$ What is the distance at which maximum velocity is observed?