Question

consider this line graph that represents speed in centimeters/second. the x - axis is labeled in seconds, the y - axis is labeled in centimeters. imagine that the moving object stops after 0.5 seconds and stays stopped for 0.5 seconds. what would the line for that time interval look like on this graph?

Explanation:

Step1: Analyze the motion

When the object stops, its speed becomes \(0\). On a distance - time graph, the slope of the graph represents speed. A slope of \(0\) (horizontal line) means the object is at rest.

Step2: Check each option

• Option A: After \(2.5\) seconds, the graph has a horizontal line segment. This indicates that the object has stopped (speed = \(0\)) and stays in one position (distance does not change with time) for \(0.5\) seconds.
• Option B: The graph does not have a horizontal line segment within the time interval under consideration.
• Option C: The graph does not have a horizontal line segment within the time interval under consideration.
• Option D: The graph does not have a horizontal line segment within the time interval under consideration.

Answer:

A.