The graph below depicts an object’s distance traveled over several intervals of time.
Which option correctly lists the motion of the object for each time interval?
interval AB → no motion
interval BC → constant speed
interval CD → no motion
interval DE → acceleration
interval AB → no motion
interval BC → decreasing speed
interval CD → constant speed
interval DE → acceleration
interval AB → constant speed
interval BC → acceleration
interval CD → constant speed
interval DE → no motion
interval AB → constant speed
interval BC → decreasing speed
interval CD → constant speed
interval DE → increasing speed
interval AB → no motion
interval BC → constant speed
interval CD → no motion
interval DE → acceleration
To determine the motion of the object for each time interval, let's analyze the graph.
The graph shows the object's distance traveled over time. Based on the graph, we can determine the motion of the object during each interval as follows:
interval AB - The graph shows a constant horizontal line, which means there is no change in distance over time. Therefore, the motion during this interval is no motion.
interval BC - The graph shows a straight line with a positive slope, indicating a constant increase in distance over time. This suggests that the object is moving at a constant speed during this interval.
interval CD - The graph again shows a horizontal line, indicating no change in distance over time. Therefore, the object is not moving during this interval.
interval DE - The graph shows an upward-curving line, which indicates a change in the rate of distance traveled over time. This suggests that the object is experiencing acceleration during this interval.
Based on this analysis, the correct option that lists the motion of the object for each time interval is:
interval AB → no motion
interval BC → constant speed
interval CD → no motion
interval DE → acceleration
The correct option is:
interval AB → no motion
interval BC → constant speed
interval CD → no motion
interval DE → acceleration