Based on the motion of the cyclist as described in your previous input, we can determine the acceleration of the cyclist by analyzing the segments of the graph:
-
From \((0, 0)\) to \((10, 9)\): The line has a positive slope, indicating that the cyclist is accelerating.
-
From \((10, 9)\) to \((15, 9)\): The line is horizontal, indicating that the cyclist is moving at a constant speed. During this time, the acceleration is zero.
-
From \((15, 9)\) to \((20, 7)\): The line has a negative slope, meaning the cyclist is decelerating (slowing down). The acceleration is negative.
Given these observations:
- The cyclist experiences positive acceleration, followed by zero acceleration, and then negative acceleration.
Considering the options provided:
A. decreasing: This could refer to the moment of deceleration but does not describe the entire graph.
B. zero and constant: This is only true during the time period between 10 and 15 seconds and does not describe the complete motion.
C. constant but non-zero: This does not apply because the acceleration changes throughout the journey.
D. increasing: This could refer to the initial acceleration but does not encompass the full description accurately.
Since acceleration is zero during the 10 to 15 seconds and then becomes negative, the best answer is:
B. zero and constant
But note that it only applies specifically to the segment between 10 and 15 seconds. If you are looking for a broader description that accounts for all segments, it would indicate that there are varying accelerations.
If there is a need to select one that summarizes the overall behavior instead, considering that the cyclist changes speed significantly, the options presented may not fully capture the behavior accurately.