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? (1 point) Responses interval AB → constant speed interval BC → decreasing speed interval CD → constant speed interval DE → increasing speed 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 interval AB → no motion interval BC → constant speed interval CD → no motion interval DE → acceleration interval AB → constant speed interval BC → acceleration interval CD → constant speed interval DE → no motion interval AB → constant speed interval BC → acceleration interval CD → constant speed interval DE → no motion interval AB → no motion interval BC → decreasing speed interval CD → constant speed interval DE → acceleration
The correct option is:
interval AB → constant speed
interval BC → decreasing speed
interval CD → constant speed
interval DE → increasing speed
The correct option is:
interval AB → constant speed
interval BC → decreasing speed
interval CD → constant speed
interval DE → increasing speed
To determine the correct motion for each time interval based on the given graph, we need to analyze the slope of the graph at each interval.
Interval AB:
The object's distance traveled is increasing at a steady rate. This indicates constant speed.
Interval BC:
The slope of the graph becomes less steep, indicating a decrease in speed.
Interval CD:
The graph is a straight horizontal line, which means the object is not changing its position. This indicates no motion or zero speed.
Interval DE:
The slope of the graph becomes steeper, indicating an increase in speed.
Based on this analysis, the correct motion for each time interval is:
Interval AB → constant speed
Interval BC → decreasing speed
Interval CD → no motion
Interval DE → increasing speed
Therefore, the correct option is:
interval AB → constant speed
interval BC → decreasing speed
interval CD → no motion
interval DE → increasing speed