Consider a road on which drivers obey the τ second rule of Traffic v(ρ) ={vmax, ρ < ρ1, 1/τ(1/ρ−1/ρmax), ρ1≤ρ≤ρmax} where ρ1 was chosen to make v continuous. (1d) Assume that traffic flows with uniform density ρ0 until a small disturbance starts a density wave. At what speed does the density wave move?

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Chapter17: Sound
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Problem 30P: Consider a sound wave moving through the air modeled with the equation...
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Consider a road on which drivers obey the τ second rule of Traffic v(ρ) ={vmax, ρ < ρ1, 1/τ(1/ρ−1/ρmax), ρ1≤ρ≤ρmax} where ρ1 was chosen to make v continuous. (1d) Assume that traffic flows with uniform density ρ0 until a small disturbance starts a density wave. At what speed does the density wave move?
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