Question
A car is driven 10 km north. What is the cars displacement if it is then driven 12 km south what is it displacement after the Intel 10 km north the car is driven another 10 km north.
Answers
GPT-4o mini
To determine the car's displacement, we need to consider its position relative to its starting point after each segment of the journey.
1. **First Segment:** The car drives 10 km north.
- Displacement = +10 km (north)
2. **Second Segment:** The car is driven 12 km south.
- From the previous position (10 km north), driving 12 km south means it moves 2 km past the starting point (10 km north - 12 km south = -2 km).
- Displacement after this segment = -2 km (south)
3. **Third Segment:** The car is then driven another 10 km north.
- From its position (2 km south), driving 10 km north brings it back to 8 km north of the starting point (10 km - 2 km + 10 km = +8 km).
- Displacement after this segment = +8 km (north)
In conclusion, after the entire journey, the car's displacement is 8 km north from the starting point.
1. **First Segment:** The car drives 10 km north.
- Displacement = +10 km (north)
2. **Second Segment:** The car is driven 12 km south.
- From the previous position (10 km north), driving 12 km south means it moves 2 km past the starting point (10 km north - 12 km south = -2 km).
- Displacement after this segment = -2 km (south)
3. **Third Segment:** The car is then driven another 10 km north.
- From its position (2 km south), driving 10 km north brings it back to 8 km north of the starting point (10 km - 2 km + 10 km = +8 km).
- Displacement after this segment = +8 km (north)
In conclusion, after the entire journey, the car's displacement is 8 km north from the starting point.