Each time the man stopped and took a break, what happened to the line on the Position-Time Graph (Blue Graph). Explain why.

When the man stopped and took a break, the line on the Position-Time Graph (Blue Graph) remained flat, indicating that his position did not change during that time. This happens because the man is not moving while he takes a break, so his position stays constant.

To determine what happens to the line on the Position-Time Graph (Blue Graph) each time the man stops and takes a break, we need to understand the relationship between position and time.

In a position-time graph, the position of an object is represented on the vertical axis (usually y-axis) and time is represented on the horizontal axis (usually x-axis). The graph shows how the position of an object changes over time.

When the man stops and takes a break, his position remains constant, meaning he is not changing his location. This indicates that there is no change in position over time during the break. Therefore, the line on the Position-Time Graph (Blue Graph) would be a horizontal line with no slope during the duration of the man's break.

However, it's important to note that as soon as the man resumes his activity, the line on the Position-Time Graph (Blue Graph) would continue with a new slope or direction, indicating his new rate of change in position with respect to time. The slope of the graph represents the speed or velocity of the object's motion.

To create the Position-Time Graph (Blue Graph), you can plot the positions of the man at different points in time. Each time the man stops and takes a break, mark that point on the graph as a horizontal line indicating a constant position. This will help you visualize how the line changes over time and understand the relationship between the man's movements and the graph.

When the man takes a break and stops, the line on the Position-Time Graph (Blue Graph) would become horizontal, indicating that the position remains constant during the break. This is because the man is not moving and remains at the same position. In other words, his displacement is zero during the break. Therefore, the line on the graph would show a flat line or a horizontal segment.