What are the distances traveled for the motions shown in parts (a) and (b) of the subway

Question:

What are the distances traveled for the motions shown in parts (a) and (b) of the subway train in Figure 2.18?

Data given in Figure 2.18

y 0 (b) Ax 2.00 km x = 3.75 km 1x0 = 4.70 km Ax' = -1.50 km x6 = 5.25 km xf = 6.70 km x (km) -x (km)

Strategy


To answer this question, think about the definitions of distance and distance traveled, and how they are related to  displacement. Distance between two positions is defined to be the magnitude of displacement, which was found in  Example 2.2. Distance traveled is the total length of the path traveled between the two positions. (See  Displacement.) In the case of the subway train shown in Figure 2.18, the distance traveled is the same as the  distance between the initial and final positions of the train.

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