$($Show work and steps. Circle$/$box final answers$)$Problem $1$

A pitot tube is inserted into a flow with a pressure $p_1=1$atm and $T_1=25C$ and measures a

pressure of $1\mathrm{.}555$ atm $.$ What is the velocity of the flow?

$($You may use $C_p=1\mathrm{.}005k\frac{J}{k{g}^{}K},C_v=0\mathrm{.}718k\frac{J}{kgK},R=287\frac{J}{kgK},$ and $=1\mathrm{.}4)$