Using the relation between position and velocity, it is found that:
- A: Her speed increased at a consistent rate.
- B: She stopped at an intersection.
- C: Her speed increased at a consistent rate.
Relation:
- The velocity is the derivative of the position, that is, it is the rate of change of the position.
For each part, we have that:
- In part A, her distance is increasing, which means that the velocity is also increasing. The graph is a line, hence the derivative is a constant, which means that the increase was constant.
- In part B, she remains at the same position, hence, she stopped at an intersection.
- Part C is similar to part A, distance increasing, hence velocity increasing at a constant rate.
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