Here's a detailed, step-by-step solution for this question:
1. Distance Traveled:
- Distance refers to the total length of the path each person walked, regardless of direction.
- Zamir and Talia both walked different paths through the maze.
- Therefore, the total distance they each walked is different.
- Zamir walked a longer path than Talia.
2. Displacement:
- Displacement refers to the straight-line distance from the starting point to the ending point, along with direction.
- It is concerned with the difference between the initial and final positions.
- Even though Zamir and Talia took different paths, they both ended up at the same final position.
- Thus, their displacement is the same since both started at the same point and ended at the same point.
Conclusion:
- Distance is the total amount they each walked: Yes, this statement is included.
- Zamir took a longer path: Yes, this statement is included.
- Their displacement is the difference from where they started and where they stopped: Yes, this statement is included.
- Their displacement is the same because they both ended at the same position: Yes, this statement is included.
By addressing each point, we provided a comprehensive explanation of how the answers were derived for Zamir and Talia's distances and displacements.
