A dog's position relative to its owner through time is graphed below.

Which of the following scenarios could be described by the position vs. time graph above?
A.
The dog runs away from its owner at its top speed.
B.
The dog sits perfectly still several meters in front of its owner.
C.
The dog slowly approaches its owner then suddenly runs away.
D.
The dog slowly trots toward its owner.

1 answer

To determine which scenario is described by the position vs. time graph, we need to consider the characteristics of the graph:

  • If the graph shows a positive slope (moving away from the owner), it indicates the dog is running away.
  • A horizontal line indicates the dog is sitting still.
  • A decreasing slope indicates the dog is approaching the owner, with the steepness showing the speed.
  • A sudden change in slope (like from decreasing to increasing quickly) indicates a sudden change in speed or direction.

Based on these major points, let's analyze each option:

A. The dog runs away from its owner at its top speed.

  • This would likely correlate with a steep positive slope on the graph.

B. The dog sits perfectly still several meters in front of its owner.

  • This would correlate with a horizontal line indicating no change in position over time.

C. The dog slowly approaches its owner then suddenly runs away.

  • This would correlate with a decreasing slope that suddenly becomes steep and positive.

D. The dog slowly trots toward its owner.

  • This would correlate with a gentle slope that is negative (approaching the owner) but not steep.

Without the actual graph, I cannot assess the slope or trends directly. However, if the graph shows a mix of a decreasing slope followed by a steep increasing slope, then C would be the correct answer as it describes both the approaching and then sudden departure. If it’s just a gentle negative slope throughout, D would be the answer.

Please provide more details about the graph for a more accurate analysis.