Air flows between the parallel plates as shown

in figure. Find the pressure gradient such that:

The velocity at $y=2mm$ is $4\frac{m}{s}.$

$N\frac{s}{m^2})$

a$)-9\mathrm{.}05P\frac{a}{m}$

b$)-12\mathrm{.}23P\frac{a}{m}$

c$)-6\mathrm{.}82P\frac{a}{m}$

d$)-27\mathrm{.}15P\frac{a}{m}$

e$)-21\mathrm{.}20P\frac{a}{m}$