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.