Air with temperature $\backslash ($ T$=10^\{\backslash$circ$\}\backslash$mathrm$\{$C$\}\backslash )$ flows at $\backslash (20\backslash$mathrm$\{$~m$\}/\backslash$mathrm$\{$s$\}\backslash )$ over both sides of a flat plate that is $3$ m long in the flow direction and $80$ cm wide.

$($a$)$ What is the boundary layer thickness at the trailing edge of the plate?

$($b$)$ How much skin friction drag is the plate experiencing?

$($c$)$ At what distance downstream of the plate does the boundary layer change from laminar to turbulent?

$($d$)$ What will be the percentage increase in the skin friction drag if the boundary layer is tripped at the leading edge?