A flight test engineer is looking at data for a low$-$speed phase of a flight. The airplane is flying at an altitude

where the density of air is $0\mathrm{.}5258k\frac{g}{m^3}.$ The gage pressure at point $1$ is $1550\frac{N}{m^2}$ and the gage pressure at

point $2$ is $-3875\frac{N}{m^2}.$

$($a$)$ If point $1$ is a stagnation point, what is the velocity $v_{}$ of the airplane?

$($b$)$ What is $C_p$ at point $2?$