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 → 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 interval AB → no motion interval BC → decreasing speed interval CD → constant speed interval DE → acceleration 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 Skip to navigation

The correct option is:

interval AB → no motion
interval BC → constant speed
interval CD → decreasing speed
interval DE → acceleration

Based on the graph, the correct option would be:

interval AB → constant speed
interval BC → decreasing speed
interval CD → constant speed
interval DE → increasing speed

To answer this question, we need to analyze the graph and identify the motion of the object for each time interval.

Step 1: Identify the starting and ending points of each interval on the graph.

Step 2: Determine the slope of the line segment for each interval.

Step 3: Interpret the slope to determine the motion of the object.

Let's go through each interval:

Interval AB:
- The object's distance traveled remains constant.
- The slope of the line segment is horizontal (zero).
- This indicates no change in position, suggesting no motion.

Interval BC:
- The object's distance traveled is decreasing.
- The slope of the line segment is negative.
- This indicates that the object is moving in the opposite direction.
- The speed is decreasing, indicating deceleration.

Interval CD:
- The object's distance traveled remains constant.
- The slope of the line segment is horizontal (zero).
- This indicates no change in position, suggesting no motion.

Interval DE:
- The object's distance traveled is increasing.
- The slope of the line segment is positive.
- This indicates that the object is moving in the same direction.
- The speed is increasing, indicating acceleration.

Based on this analysis, the correct option is:
Interval AB → no motion
Interval BC → deceleration
Interval CD → no motion
Interval DE → acceleration