(20 points) A projectile moves down a gun barrel with a velocity of 500 m/s. Calculate the velocity of the normal shock that would precede the projectile. Assume that the flow between the shock and the projectile moves at the same speed of the projectile. Also assume that the pressure in the undisturbed air to be 101 kPa and the temperature to be 25°C. How fast would the projectile have to be moving in order that the shock velocity be twice the projectile velocity? (Assume, y=1.4 and R-287 J/kg.K.) Vs+ projectile Vo+ moving shock