Final answer:
The dog traveled a total distance of 61 meters but its displacement is 0 meters.
Step-by-step explanation:
To find the distance the dog traveled, we need to sum up the distances traveled in each direction. The dog traveled 10 meters north, 16 meters east, 19 meters south, and 16 meters west. Adding these distances together gives us a total distance of 61 meters.
To find the displacement of the dog, we need to find the straight line distance and direction from the starting point to the ending point. The dog traveled north and then south, which cancels out the north and south directions. The dog also traveled east and then west, which cancels out the east and west directions. Therefore, the displacement of the dog is 0 meters.