In the graph represent direction of distance (d) vs time (t) ?

Options

A.
B.
C.
D.

Explanation

To solve the question regarding the graph that represents the direction of distance (d) vs time (t), we need to analyze the characteristics of distance with respect to time.

### Step-by-Step Solution:

1. **Understanding Distance vs Time**:
- Distance is a scalar quantity that represents how far an object has traveled from its initial position. It is always non-negative and increases or remains constant over time for a moving object.

2. **Analyzing the Graphs**:
- We need to evaluate the given options (A, B, C, D) based on the behavior of distance over time.

3. **Evaluating Option A**:
- In graph A, as time increases, the distance decreases. This contradicts the principle that distance should either increase or remain constant. Therefore, **Option A is incorrect**.

4. **Evaluating Option B**:
- In graph B, the distance initially increases but then decreases after reaching a peak. This indicates that the object is moving away and then moving back towards the starting point, which is not a valid representation of distance over time. Thus, **Option B is also incorrect**.

5. **Evaluating Option D**:
- In graph D, similar to graph B, the distance increases initially and then decreases after reaching a peak. This again suggests a return towards the starting point, which is not consistent with the definition of distance. Hence, **Option D is incorrect**.

6. **Evaluating Option C**:
- In graph C, the distance consistently increases as time progresses. This is the only graph that correctly represents the behavior of distance with respect to time for a moving object. Therefore, **Option C is the correct answer**.

### Conclusion:
The correct graph that represents the direction of distance (d) vs time (t) is **Option C**.

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