A body is stationary. Which of the graphs shown here is a graph of distance against time for this motion?

Options

A.
B.
C.
D.

Explanation

To solve the question about which graph represents a stationary body in a distance vs. time graph, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Concept of Stationary Motion:**
- A body is said to be stationary when it is at rest. This means that it does not change its position over time.

2. **Analyze the Definition of Distance vs. Time:**
- In a distance vs. time graph, the y-axis represents distance and the x-axis represents time.
- For a stationary body, the distance does not change as time progresses.

3. **Identify the Characteristics of the Graph:**
- If the body is stationary, the distance should remain constant regardless of the time elapsed. This means that the graph should be a horizontal line.

4. **Examine the Given Graph Options:**
- **Graph 1:** Distance increases with time (not stationary).
- **Graph 2:** Distance decreases with time (not stationary).
- **Graph 3:** Distance increases non-uniformly with time (not stationary).
- **Graph 4:** Distance remains constant as time increases (this represents a stationary body).

5. **Select the Correct Graph:**
- Based on the analysis, **Graph 4** is the correct representation of a stationary body, as it shows that the distance does not change over time.

### Final Answer:
The correct graph that represents a stationary body in a distance vs. time graph is **Graph 4**.

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