Based on the description of the motion intervals, here’s how to determine the correct responses based on typical graph interpretations, assuming the commonly accepted conventions:
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Constant Speed: In a distance vs. time graph, this would appear as a straight line with a constant slope. The distance is increasing at a steady rate.
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Acceleration: This would be represented by a curve that slopes upwards, indicating that the distance increases at an increasing rate.
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No Motion: This would be depicted as a horizontal line, where the distance remains constant over the time interval—in other words, the object is stationary.
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Decreasing Speed: This would appear as a line that is still increasing but at a decreasing rate (curving downward), indicating that the object is still moving but slowing down.
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Increasing Speed: This would be indicated by distance increasing at an increasing rate (curving upward sharply).
Based on this understanding, let's analyze the provided options without seeing the actual graph but relying on common interpretations:
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Option 1:
- interval AB → constant speed
- interval BC → acceleration
- interval CD → constant speed
- interval DE → no motion
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Option 2:
- interval AB → no motion
- interval BC → decreasing speed
- interval CD → constant speed
- interval DE → acceleration
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Option 3:
- interval AB → no motion
- interval BC → decreasing speed
- interval CD → constant speed
- interval DE → acceleration
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Option 4:
- interval AB → constant speed
- interval BC → decreasing speed
- interval CD → constant speed
- interval DE → increasing speed
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Option 5:
- interval AB → no motion
- interval BC → constant speed
- interval CD → no motion
- interval DE → acceleration
To select the most accurate option, the graph will have to be referenced to precisely match the conditions of speed and motion in each defined interval. Assuming we did not see the graph, Option 1 seems like a logical organization of speeds through the intervals, but the actual graph will guide the final decision. Please refer to the graph to determine which of these options matches the observed motion.