Flow over a flat plate is given by:

$\frac{u}{U}=(\frac{y}{0\mathrm{.}25}{)}^{\frac{1}{n}}$

where $y$ is in $\text{'}m\text{'}.$ For $n=5$ and a constant $U=8\frac{m}{s},$ for steady flow over a flat plate:

$($a$)$ Find the $99\%$ boundary later thickness $()$

$($b$)$ Find the value of $D$

$($c$)$ Find the value of ${}_M$