Referring to Figure 1.17 in Chapter 1 of the text (reproduced below), when the student is traveling between 300m-500m, which of the following statements are correct?

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First, let’s restate the problem and the available option to set the stage for the analysis.
Question: Referring to Figure 1.17 in Chapter 1 of the text (reproduced), when the student is traveling between 300m-500m, which of the following statements are correct?
Option: The student’s acceleration vector is the zero vector.

Now, evaluate the statement about acceleration between 300 m and 500 m:
- The key concept here is acceleration, which is the rate of change of velocity with respect to time. If the velocity is constant over an interval, the acceleration is zero. Conversely, if the velocity changes (speed up, slow down, or change direction), the acceleration is nonzero.
- Observing the figure for the interval from about 300 m to 500 m, the position x increases in a straight-line fashion with evenly spaced points along the same slope. A straight-line increase in position over time indicates constant velocity during that interval.
- Since the velocity is not changing between 300 m and 500 m, there is no acceleration, i.e., the acceleration vector is the zero vector.

Potential subtle points to consider:
- If the student momentarily stops (velocity zero) within the interval, that would imply a nonzero acceleration somewhere (to start moving again). However, the plotted trajectory in 300–500 m shows a continuous, steady progression along the same line, not a pause or reversal, suggesting velocity remains constant and nonzero.
- If one worried about direction, a constant velocity in the same direction still yields zero acceleration because there is no change in velocity magnitude or direction.
- The statement would be incorrect only if the graph indicated a changing slope (i.e., a curved path or varying distances between time markers), which would imply nonzero acceleration. In the given figure, the slope over 300–500 m is constant.

In summary, given the constant velocity during the 300–500 m interval as depicted, the acceleration is indeed the zero vector, supporting the correctness of the option.

Phys_2305_O'Donnell_Fall2025 Quiz 01 - Chapters 1 & 2, Chapter 3 (3.1-3.2)

Referring to Figure 1.17 in Chapter 1 of the text (reproduced below), when the student is traveling between 300m-500m, which of the following statements are correct?

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