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Traffic shock wave. An abrupt shlowdown in concentrated traffic can travel as a pulse, termed a shock wave, along the line of cars, either downstream ( in the traffic direction) or upstream, or it can be stationary. Figure 2-17 shows a uniformlyspaced line of cars moving at speed v=25.0 m/s toward a uniformly spaced line of slow cars moving at speed v_(s)=5.00 m/s. Assume that each faster car adds length L=12.0 m (car length plus buffer zone ) to the line of slow cars when it joins the line, and assume it slows abruptly at the last instant. (a) For what separation distance d between the faster cars does the shock wave remain stationary ? It the separation is twice that amount, what are the (b) speed and (c) direction ( upstream or downstream ) of the shock wave ? |
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