### Find the following for path A in Figure 3.54: (a) the total distance traveled, and (b) the magnitude and direction of the displacement from start to finish.

Figure 3.54The various lines represent paths taken by different people walking in a city. All blocks are 120 m on a side.

**SOLUTION:**

**PART A**

So, the total distance traveled on path A as shown by the green line is just the sum of the distances.

**PART B**

The displacement is just the shortest distance from the beginning to the end of the path. The displacement has a magnitude given by

The direction of the displacement is given by