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