In a distance-time graph :
What type of motion does a curved line represent?

Answer

To determine what type of motion a curved line represents in a distance-time graph, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding the Axes**: In a distance-time graph, the vertical axis (y-axis) represents distance, while the horizontal axis (x-axis) represents time.

2. **Identifying the Curve**: A curved line on the graph indicates that the relationship between distance and time is not linear. This means that the distance does not increase at a constant rate over time.

3. **Analyzing the Motion**:
- If the curve is getting steeper, it indicates that the object is speeding up (increasing speed).
- If the curve is flattening out, it indicates that the object is slowing down (decreasing speed).

4. **Conclusion on Motion Type**: Since the distance is changing at varying rates (either increasing or decreasing), we conclude that a curved line in a distance-time graph represents **non-uniform motion**. In non-uniform motion, the speed is not constant, and there can be acceleration or deceleration.

### Final Answer:
A curved line in a distance-time graph represents **non-uniform motion**.

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