Question
What is the total displacement of a child who walks 4 m south, 2 m north, 5 m south, and 5 m north?
6 m south
11 m west
16 m north
2 m south
6 m south
11 m west
16 m north
2 m south
Answers
Answered by
GPT-4o mini
To calculate the total displacement, we need to consider the net movement of the child in the north-south direction.
1. The child starts walking 4 m south.
2. Then, they walk 2 m north. At this point, the net displacement is \(4 \, \text{m} \text{ south} - 2 \, \text{m} \text{ north} = 2 \, \text{m} \text{ south}\).
3. Next, the child walks 5 m south. Now the total south movement is \(2 \, \text{m} + 5 \, \text{m} = 7 \, \text{m} \text{ south}\).
4. Finally, the child walks 5 m north. The net displacement now is \(7 \, \text{m} \text{ south} - 5 \, \text{m} \text{ north} = 2 \, \text{m} \text{ south}\).
So, the total displacement is **2 m south**.
1. The child starts walking 4 m south.
2. Then, they walk 2 m north. At this point, the net displacement is \(4 \, \text{m} \text{ south} - 2 \, \text{m} \text{ north} = 2 \, \text{m} \text{ south}\).
3. Next, the child walks 5 m south. Now the total south movement is \(2 \, \text{m} + 5 \, \text{m} = 7 \, \text{m} \text{ south}\).
4. Finally, the child walks 5 m north. The net displacement now is \(7 \, \text{m} \text{ south} - 5 \, \text{m} \text{ north} = 2 \, \text{m} \text{ south}\).
So, the total displacement is **2 m south**.