A re$-$entry vehicle $($RV$)$ is at an altitude of $15,000m$ and has a velocity of $1850\frac{m}{s}.$ A bow shock wave envelops the RV$.$ Neglecting dissociation, determine the stagnation pressure and temperature just behind the

shock wave on the RV centre line where the shock wave may be treated as a normal shock. assume that air behaves as a perfect gas, with $=1\mathrm{.}4$ and $R=287\frac{J}{k}g.K.$