Which of the following options reflects a stationary object's distance-time graph?

The distance-time graph for a stationary object is represented by a horizontal line that runs parallel to the time axis. This graphical representation occurs because, for a stationary object, there is no movement; hence, the distance covered does not change over time.

In such a scenario, the slope of the distance-time graph for a stationary object is zero. The slope in a distance-time graph corresponds to the velocity of the object. Since the velocity is zero for a stationary object, the slope remains flat, indicating no change in position over time.

To summarize, a distance-time graph for a stationary object demonstrates the following characteristics:

• The graph is a straight, horizontal line parallel to the time axis.
• The distance value remains constant, irrespective of the passage of time.
• The slope of the graph, which represents velocity, is zero.

This type of graph is crucial for understanding motion and serves as a foundational concept in physics. Recognizing the distance-time graph for a stationary object helps in distinguishing between objects in motion and those at rest.