Question

Question
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 → 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 → 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

Answer 1

To analyze the motion of the object from the graph based on the intervals mentioned, we can summarize the interpretation of each interval as follows:

1. **Interval AB**: If the distance is increasing at a constant rate, the object is moving at constant speed.
2. **Interval BC**: If the distance is increasing but at a decreasing rate (the slope of the graph is decreasing), the object is accelerating positively.
3. **Interval CD**: If the distance remains constant over this interval, the object is not changing position (no motion).
4. **Interval DE**: If the distance is increasing again, but at an increasing rate (the slope of the graph is increasing), the object is accelerating.

Now, evaluating the responses based on these interpretations:

1. **First Response**:
- Interval AB → constant speed
- Interval BC → acceleration
- Interval CD → constant speed
- Interval DE → no motion

This response is **incorrect** since CD should indicate no motion.

2. **Second Response**:
- Interval AB → no motion
- Interval BC → decreasing speed
- Interval CD → constant speed
- Interval DE → acceleration

This response is **incorrect** since AB should indicate motion, and BC is not decreasing speed.

3. **Third Response**:
- Interval AB → constant speed
- Interval BC → decreasing speed
- Interval CD → constant speed
- Interval DE → increasing speed

This response is **incorrect** since BC should indicate acceleration.

4. **Fourth Response**:
- Interval AB → constant speed
- Interval BC → decreasing speed
- Interval CD → constant speed
- Interval DE → increasing speed

This response again is **incorrect** since BC should indicate acceleration.

5. **Fifth Response**:
- Interval AB → no motion
- Interval BC → constant speed
- Interval CD → no motion
- Interval DE → acceleration

This response is also **incorrect** since AB should indicate motion.

Given this breakdown, none of the provided options accurately describe the interval motions based on the usual interpretations of a distance vs. time graph. Please refer specifically to the graph in question to ensure accurate selection.

Based on a generic analysis without the actual graph data, the correct selection would hinge significantly on the specific slopes shown. If you have further details about the graph, I can assist in determining a more precise description.