To accurately determine the cyclist's acceleration based on the graph, we would typically look at the graph's shape and the behavior of the cyclist’s speed.
However, since I can't visually analyze the graph, I can guide you through the reasoning:
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A - decreasing: This option may be valid if the cyclist's speed is slowing down over time, which would mean the acceleration is negative.
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B - zero and constant: This option describes a scenario where the cyclist travels at a constant speed without changing. The acceleration in this case would indeed be zero.
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C - constant but non-zero: This option indicates that the cyclist is increasing speed at a constant rate. The graph would show a straight line sloping upwards.
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D - increasing: This suggests that acceleration itself is growing over time, meaning the cyclist is speeding up faster and faster.
If the graph illustrates that the cyclist's speed is increasing at a constant rate, then C would be the correct choice. If the graph shows fluctuations or rapid changes in speed, then D may be correct. If the speed is steady, then B would be right.
Please refer to the graph to match these descriptions with the cyclist's motion, and choose the best answer based on your observations.