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Multiple Choice Question

The graph shows the distance an object travels over time.



Which table correctly describes the object's motion during each interval of time?
A.
Interval Object's Motion
AB The object is moving at a constant speed.
BC The object is slowing down.
CD The object is moving at a constant speed.
DE The object is speeding up.
B.
Interval Object's Motion
AB The object is not moving.
BC The object is slowing down.
CD The object is moving at a constant speed.
DE The object is speeding up.
C.
Interval Object's Motion
AB The object is not moving.
BC The object is moving at a constant speed.
CD The object is not moving.
DE The object is accelerating.
D.
Interval Object's Motion
AB The object is moving at a constant speed.
BC The object is accelerating.
CD The object is moving at a constant speed.
DE The object is not moving.

1 answer

To determine the correct description of the object's motion during each interval of time (AB, BC, CD, and DE), we need to analyze the graph mentioned in your question. Since I don't have access to see the graph directly, I will provide a general approach you can take to evaluate the options based on common behaviors displayed in distance vs. time graphs.

  1. Constant Speed: The graph will show a straight line with a positive slope. This indicates the object is moving at a consistent speed.

  2. Not Moving: The graph will be a horizontal line at a constant distance (the distance does not change over time), indicating the object is stationary.

  3. Slowing Down: The graph will curve downwards, indicating a decrease in the slope over time (the distance is changing less and less as time progresses).

  4. Speeding Up: The graph will curve upwards, showing an increase in slope (the distance is changing more and more as time progresses).

  5. Accelerating: If the graph is a curved line going upwards, it indicates the object is gaining speed.

By assessing the graph in light of these behaviors, you can evaluate which option (A, B, C, or D) matches with what you see in the graph. Here's how you might apply this:

  • If AB is a straight line (constant speed): It matches with options A and D.
  • If BC is a curve that slopes downward (slowing down): It matches with option B.
  • If CD is a straight line (constant speed): This agrees with options A and D.
  • If DE is a curve that slopes upwards (speeding up): It matches with option B and A but not with D.

Make your choice based on this understanding of the graph. If you can describe the shape of the intervals from the graph, I can help refine the answer further.