Consider steady, laminar flow over a flat plate with the following velocity profile in the boundary layer:

$u=A+By+C{y}^2$

where $A,B$ and $C$ are constants, and $y$ is the perpendicular distance from the plate. The boundary layer thickness is defined as $$ and $U$ is the free stream velocity.

PartialCredit $1$

Using appropriate boundary conditions, determine the constant A

a$)1\mathrm{.}0$

b$)0\mathrm{.}5$

c$)0$

d$)-0\mathrm{.}5$

e$)-1\mathrm{.}0$