Traffic shock wave. 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 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? If the separation is twice that amount, what are the (b) speed and (c) direction (upstream or downstream) of the shock wave? Figure 2-25 Problem 12.
Traffic shock wave. 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 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? If the separation is twice that amount, what are the (b) speed and (c) direction (upstream or downstream) of the shock wave? Figure 2-25 Problem 12.
Traffic shock wave. 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?
Traffic shock wave. An abrupt slowdown in concentratedtraffic can travel as a pulse, termed a shock wave, along theline of cars, either downstream (in the traffic direction) or upstream,or it can be stationary shows a uniformlyspaced line of cars moving at speed v = 25.0 m/s toward a uniformlyspaced line of slow cars moving at speed vs = 5.00 m/s.Assume that each faster car adds length L = 12.0 m (car lengthplus buffer zone) to the line of slow cars when it joins the line, and assumeit slows abruptly at the last instant. (a) For what separation distanced between the faster cars does the shock wave remainstationary? If the separation is twice that amount, what are the (b)speed and (c) direction (upstream or downstream) of the shock wave?
Two trains A and B of length 800 m each are moving on two parallel tracks with a uniform speed of 144 km h-1 in the same direction, with A ahead of B. The driver of B decides to overtake A and accelerates by 2 m s-2. If after 100 s, the guard of B just brushes past the driver of A, what was the original distance between them ?
65. ssm A person who walks for exercise produces the position-time
graph given with this problem. (a) Without doing any calculations, decide
which segments of the graph (A, B, C, or D) indicate positive, negative,
and zero average velocities. (b) Calculate the average velocity for each
segment to verify your answers to part (a).
+1.25
+1.00
A
+0.75
D
+0.50
+0.25
0.20 0.40 0.60 0.80 1.00
Time i (h)
Position x km)
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