Suppose the velocity of an object moving along a line is positive. Are position, displacement, and distance traveled equal? Explain. Choose the correct answer below. A. Yes, if the velocity is positive then the displacement, distance traveled, and position of the object will be given by $$ v^{\prime}(t) $$. B. No, the displacement and distance traveled by the object will be equal but since the initial position is not given, the position of the object may not be equal to the distance traveled and the displacement of the object. C. No, the displacement and position of the object will be equal but since the initial position is not given, the distance traveled by the object may not be equal to the position and the displacement of the object. D. Yes, if the velocity is positive then the displacement, distance traveled, and position of the object will be given by $$ \int_{\mathrm{a}} \mathrm{v}(\mathrm{t}) $$ dt.

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**Answer:**  
**B.** No, the displacement and distance traveled by the object will be equal but since the initial position is not given, the position of the object may not be equal to the distance traveled and the displacement of the object.

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**Explanation:**  
When an object's velocity is always positive while moving along a line:

- **Displacement** and **distance traveled** are equal because the object is moving in a single direction without changing course.
  
- **Position** depends on the initial position of the object. Without knowing where the object started, we cannot determine its exact position solely based on displacement or distance traveled.

Therefore, while displacement and distance traveled are the same under constant positive velocity, the object's position cannot be determined to be equal to these quantities without additional information about its initial position.
**Answer:** **B.** No, displacement and distance traveled are equal, but without knowing the initial position, the object's position may not be equal to these quantities. **Explanation:** When an object moves with constant positive velocity along a straight line: - **Displacement** and **distance traveled** are the same because the object moves in one direction. - **Position** depends on where the object started. Without knowing the initial position, we can't say the object's position is equal to the distance traveled or displacement. So, displacement and distance traveled are equal, but the object's position may not be equal to these unless the initial position is known.

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