Questions: Consider the new position vs. time graph below for cyclists A and B. a. How does the motion of the cyclist A in the new graph compare to that of A in the previous graph? b. How does the motion of cyclist B in the new graph compare to that of B in the previous graph? c. Which cyclist has the greater speed? How do you know? d. Describe what is happening at the intersection of lines A and B. e. Which cyclist traveled a greater distance during the first 5 seconds? How do you know?

Consider the new position vs. time graph below for cyclists A and B.
a. How does the motion of the cyclist A in the new graph compare to that of A in the previous graph?
b. How does the motion of cyclist B in the new graph compare to that of B in the previous graph?
c. Which cyclist has the greater speed? How do you know?
d. Describe what is happening at the intersection of lines A and B.
e. Which cyclist traveled a greater distance during the first 5 seconds? How do you know?
Transcript text: Consider the new position vs. time graph below for cyclists $\mathbf{A}$ and $B$. a. How does the motion of the cyclist $A$ in the new graph compare to that of $A$ in the previous graph? b. How does the motion of cyclist B in the new graph compare to that of $B$ in the previous graph? c. Which cyclist has the greater speed? How do you know? d. Describe what is happening at the intersection of lines $A$ and $B$. e. Which cyclist traveled a greater distance during the first 5 seconds? How do you know?
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Solution

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Step 1: Comparing Cyclist A's Motion

In the new graph, cyclist A starts at a higher initial position and travels to a lower final position, indicating motion in the negative direction. In the previous graph, cyclist A starts at a lower initial position and moves to a higher final position, showing motion in the positive direction.

Step 2: Comparing Cyclist B's Motion

In both graphs, cyclist B starts at zero position and moves towards a greater final position, representing motion in the positive direction. The slope of B's line is steeper in the new graph than in the previous graph, signifying a greater speed in the new graph.

Step 3: Determining Greater Speed

Cyclist A has the greater speed in the new graph. Speed is represented by the slope of the line on a position-time graph. Cyclist A's line is steeper than Cyclist B's line in the new graph.

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