The slope of a distance-time graph of a moving object indicates :

Options

A. distance moved by the object
B. time taken by the object
C. speed of the object
D. position of the object

Answer

To solve the question about what the slope of a distance-time graph of a moving object indicates, we can break it down step by step:

### Step-by-Step Solution:

1. **Understanding the Graph**: A distance-time graph plots distance (y-axis) against time (x-axis). Each point on the graph represents the distance traveled by the object at a specific time.

2. **Identifying the Slope**: The slope of a graph is defined as the change in the y-value divided by the change in the x-value. For a distance-time graph, the slope is calculated as:
\[ \text{slope} = \frac{\text{change in distance}}{\text{change in time}} = \frac{x_2 - x_1}{t_2 - t_1} \]

3. **Interpreting the Slope**: The formula derived above shows that the slope represents how much distance is covered over a certain period of time. This is essentially the definition of speed.

4. **Conclusion**: Therefore, the slope of a distance-time graph indicates the speed of the object. A steeper slope means a higher speed, while a flatter slope indicates a lower speed.

### Final Answer:
The slope of a distance-time graph of a moving object indicates the **speed of the object**.

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