An important dimensionless parameter concerned with very high-speed flow is the Mach number, defined as \(V / c\), where \(V\) is the speed of the object such as an airplane or projectile, and \(c\) is the speed of sound in the fluid surrounding the object. For a projectile traveling at \(800 \mathrm{mph}\) through air at \(50^{\circ} \mathrm{F}\) and standard atmospheric pressure, what is the value of the Mach number?