Which of the following graphs represents the position time-graph of a particle moving with negative velocity?

Options

A.
B.
C.
D.

Answer

To determine which graph represents the position-time graph of a particle moving with negative velocity, we can analyze the characteristics of each graph based on the relationship between position and time.

### Step-by-Step Solution:

1. **Understanding Position-Time Graphs**:
- A position-time graph plots the position of an object against time. The slope of this graph indicates the velocity of the object.
- A positive slope indicates positive velocity (the object is moving away from the origin), while a negative slope indicates negative velocity (the object is moving towards the origin).

2. **Analyzing Each Graph**:
- **Graph A**: As time increases, the position also increases. This indicates a positive slope, which means the particle is moving with positive velocity.
- **Graph B**: As time increases, the position decreases. This indicates a negative slope, which means the particle is moving with negative velocity.
- **Graph C**: The position remains constant as time increases. This indicates a slope of zero, meaning the object is at rest.
- **Graph D**: As time increases, the position increases. This indicates a positive slope, which means the particle is moving with positive velocity.

3. **Conclusion**:
- From the analysis, we can conclude that **Graph B** represents the position-time graph of a particle moving with negative velocity.

### Final Answer:
The graph that represents the position-time graph of a particle moving with negative velocity is **Graph B**.