A person runs along a circular path of radius 5 m. Find the magnitude of the displacement if he runs all the way around the circle ?

Options

A. 10 m
B. 20 m
C. 3 m
D. Zero

Answer

To solve the problem of finding the magnitude of the displacement when a person runs all the way around a circular path of radius 5 m, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding Displacement**:
Displacement is defined as the shortest straight-line distance from the initial position to the final position of an object. It is a vector quantity that has both magnitude and direction.

2. **Identifying the Path**:
The person runs along a circular path with a radius of 5 m. When he completes one full lap around the circle, he returns to his starting point.

3. **Determining the Initial and Final Position**:
Since the person starts and ends at the same point after running around the entire circle, the initial position and final position are the same.

4. **Calculating Displacement**:
Since the initial and final positions are the same, the straight-line distance between these two points is zero. Therefore, the magnitude of the displacement is:
\[ \text{Displacement} = 0 \, \text{m} \]

5. **Conclusion**:
The magnitude of the displacement when the person runs all the way around the circle is 0 m.

### Final Answer:
The magnitude of the displacement is **0 m**.

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