Luis is meeting his friends at their houses as shown in the figure below. He starts from his house at point M and covers 8.00 m to meet Jerry at his place, which is point N. Together, they meet Cathy at point O, which is 13.50 m from where Jerry waited for Luis. What is the total distance and displacement covered by Luis?
Fig. 5.2 Rectilinear path taken by John, Luis, Jerry, and Cathy
To determine the total distance, consider only the magnitude of each length covered by Luis from point M to point O.
d = 8.00 m + 5.50 m + 8.00 m = 21.50 m
Thus, Luis traveled a total distance of 21.50 m.
In computing for the total displacement, consider both magnitude and direction of each path traveled by Luis to meet Cathy.
d = (+8.00 m) + (+5.50 m) + (+8.00 m) = +21.50 m = 21.50 m, east
The total displacement of Luis is 21.50 m to the east.
Questions:
1. After meeting Cathy at point O, the three of them have to go back to point N to retrieve Jerry's notebook.
2. Luis forgot his homework so he tells his friends that they have to go back to his place at point M.
3. After receiving a text message from John to meet him, they have decided to go to John's house at point Q.