- #1

- 240

- 23

- Homework Statement
- An abrupt slowdown 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 2-25 shows a uniformly spaced line of cars moving at speed v = 25.0 m/s toward a uniformly spaced line of slow cars moving at speed vs = 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? If the separation is twice that amount, what are the (b)

speed and (c) direction (upstream or downstream) of the shock wave?

- Relevant Equations
- average velocity = displacement / time taken

This was a Halliday Resnick Problem on the linear motion. I could have see the solution but I was not satisfied because I have not get the idea behind the solution. Could you please help me to explain what is exactly the problem is? Or, how to model the shock wave? So that I can make the equation of the fast car position, slow car position, and shock wave position at any instance time, t?