Question
A cat wakes up on its bed and travels 10m to the living room, 5m to its food bowl to eat, then 2m to its owner, before going to sit by its window 3m from its bed. What is the displacement the cat traveled?
A. 20m
B. 15m
C. 3m
D. 9m
A. 20m
B. 15m
C. 3m
D. 9m
Answers
GPT-4o mini
To find the displacement, we need to consider the start and end points of the cat’s journey. Displacement is the straight-line distance from the starting point to the ending point, regardless of the path taken.
1. **Starting Point:** The cat starts on its bed.
2. **Travel to the Living Room:** 10m from the bed to the living room.
3. **Travel to Food Bowl:** 5m to the food bowl (but we need to account for the direction of the previous movement).
4. **Travel to Owner:** 2m to the owner.
5. **Travel to Window:** Finally, the cat sits by the window, which is 3m from its bed.
Now, let’s break that down to find the final position:
- Let's assume the bed is at the origin (0, 0).
- The cat moves 10m in some direction (say, right to (10, 0)).
- From there, it moves to its food bowl (5m in some angle) but let’s simplify this by considering the overall location: we will sum up the movements rather than track every angle exactly.
- It then moves to its owner (2m).
- Finally, it moves 3m to the window.
To help visualize this, if we assume a linear path for simplicity (in reality, the path might be zig-zagged):
- After moving 10m, 5m, and 2m in the living room and towards the owner, the total distance traveled in that direction could be additive in a straight line, though it also returns some distance relative to the final window position.
Starting from (0, 0) to (10, 0), then *considering* the final position to be in a direct line from the bed. The final destination is 3m away directly away from the bed and likely has various path movements (but in terms of displacement, the best estimate will be just figuring out end positions).
The net effect leads to the original bed to window in the direct line (towards which it would sit there).
Thus, the total displacement calculation may connect those simple distance evaluations relative to just start and the end:
- *Bed to Window*: 3m (relative straight-line conclusion).
So option C: **3m** is the correct answer based on the end location relative to the start.
1. **Starting Point:** The cat starts on its bed.
2. **Travel to the Living Room:** 10m from the bed to the living room.
3. **Travel to Food Bowl:** 5m to the food bowl (but we need to account for the direction of the previous movement).
4. **Travel to Owner:** 2m to the owner.
5. **Travel to Window:** Finally, the cat sits by the window, which is 3m from its bed.
Now, let’s break that down to find the final position:
- Let's assume the bed is at the origin (0, 0).
- The cat moves 10m in some direction (say, right to (10, 0)).
- From there, it moves to its food bowl (5m in some angle) but let’s simplify this by considering the overall location: we will sum up the movements rather than track every angle exactly.
- It then moves to its owner (2m).
- Finally, it moves 3m to the window.
To help visualize this, if we assume a linear path for simplicity (in reality, the path might be zig-zagged):
- After moving 10m, 5m, and 2m in the living room and towards the owner, the total distance traveled in that direction could be additive in a straight line, though it also returns some distance relative to the final window position.
Starting from (0, 0) to (10, 0), then *considering* the final position to be in a direct line from the bed. The final destination is 3m away directly away from the bed and likely has various path movements (but in terms of displacement, the best estimate will be just figuring out end positions).
The net effect leads to the original bed to window in the direct line (towards which it would sit there).
Thus, the total displacement calculation may connect those simple distance evaluations relative to just start and the end:
- *Bed to Window*: 3m (relative straight-line conclusion).
So option C: **3m** is the correct answer based on the end location relative to the start.