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Use graphical methods to solve these problems. You may assume data taken from graphs is accurate to three digits.

Vector Addition and Subtraction: Graphical Methods

 Use graphical methods to solve these problems. You may assume data taken from graphs is accurate to three digits.

 1. Find the following for path A in Fiqure 3.53: (a) the total distance traveled, and (b) the magnitude and direction of the displacement from start to finish.

image.png

 Figure 3.53 The various lines represent paths taken by different people

 walking in a city. All blocks are 120 m on a side.

 2. Find the following for path B in Figure 3.53: (a) the total distance traveled, and (b) the magnitude and direction of the displacement from start to finish.

 3. Find the north and east components of the displacement for the hikers shown in Figure 3.51

 4. Suppose you walk 18.0 m straight west and then 25.0 m straight north. How far are you from your starting point, and what is the compass direction of a line connecting your starting point to your final position? (If you represent the two legs of the walk as vector displacements A and B. as in Figure 3.54. then this problem asks you to find their sum R = A + B.)


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