Consider a long pipe filled with air at standard sea-level conditions. Let x be the longitudinal coordinate measured along the pipe. The air is stationary inside the pipe, i.e., the flow velocity is zero everywhere inside the pipe. A small firecracker is mounted inside the tube at an axial location x = 0. When the firecracker is detonated, two weak pressure disturbances (pressure waves) are created at x = 0 that propagate along the pipe, one to the right and the other to the left. Assume that these weak pressure distributions travel at the local speed of sound. Using SI units, calculate: (a) the speed of the waves relative to the pipe, and (b) the x-location of each wave 0.2 seconds after detonation of the firecrackers.
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