Maya follows a maze by going: 3 m north, 2 m west, 1 m south, 1 m west, 2 m north, 6 m east, and 2 m north. What is her final displacement in a north/south direction.
north:
3 -1 +2 +2
Disp. = 3i - 2 -1i - 1 + 2i + 6 + 2i.
Combine like-terms:
Disp. = 3 + 6i = 6.71m[63.4o].
To determine the final displacement in a north/south direction, we need to consider the total northward movement and the total southward movement separately and then calculate the net displacement.
1. Start by listing the northward movements:
- 3 meters north
- 2 meters north
- 2 meters north
2. Next, list the southward movements:
- 1 meter south
3. Calculate the net northward displacement:
- Add up the total northward movements: 3 + 2 + 2 = 7 meters
4. Calculate the net southward displacement:
- Add up the total southward movements: 1 meter
5. Finally, calculate the net displacement in a north/south direction:
- Subtract the total southward movement from the total northward movement: 7 meters north - 1 meter south = 6 meters north
Therefore, Maya's final displacement in a north/south direction is 6 meters north.