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

Options

A.
B.
C.
D.

Explanation

To solve the problem of determining the correct representation of distance (d) versus time (t) in a graph, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding Distance vs. Time Graphs**:
- A distance vs. time graph shows how the distance traveled by an object changes over time.
- The key point to remember is that distance can only increase or remain constant; it cannot decrease.

2. **Analyzing the Options**:
- We need to evaluate each option provided in the question to see if they correctly represent the relationship between distance and time.

3. **Evaluating Option A**:
- In this option, the graph shows a decrease in distance at some point as time increases.
- Since distance cannot decrease, this option is incorrect.

4. **Evaluating Option B**:
- This option shows an increase in distance initially, but then it flattens out, suggesting that the object reaches a maximum height and stops moving for a moment.
- Although the distance does not decrease, the flat part indicates that the object is not moving, which can be misleading in terms of distance covered.
- This option is also incorrect because it implies a moment of no distance change.

5. **Evaluating Option C**:
- This option shows a continuous increase in distance as time progresses.
- Since distance is always increasing or remaining constant, this option correctly represents the relationship between distance and time.
- Therefore, Option C is the correct choice.

6. **Final Conclusion**:
- Based on the analysis, the correct representation of distance vs. time is given by Option C, where the distance always increases as time progresses.