In the figure below, suppose that the car is speeding up as it passes through point B and slowing down as it passes through point C. In what direction does the total acceleration vector point at points B and C? Answer in terms of a quadrant (I, II, III, or IV). r= 200 m r= 200 m O Point B: Quadrant II Point C: Quadrant IV O Point B: Quadrant IV Point C: Quadrant II O Point B: Quadrant I Point C: Quadrant II O Point B: Quadrant I Point C: Quadrant II O Point B: Quadrant IV Point C: Quadrant I O none of the above

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**Title: Understanding Acceleration Vectors at Points on a Curve**

**Description:**

In the figure below, suppose that the car is speeding up as it passes through point B and slowing down as it passes through point C. In what direction does the total acceleration vector point at points B and C? Answer in terms of a quadrant (I, II, III, or IV).

**Diagram Explanation:**

- The diagram shows a car moving along a curved path with three key points: A, B, and C.
- At point A, the car is moving towards point B, which is located in a dip of the path. The velocity vector is shown pointing horizontally to the right.
- At point B, the car is speeding up as it moves upward towards point C. 
- At point C, the car is slowing down as it reaches the crest of the path, preparing to descend.
- Both radii, r, from the center of circular paths at points B and C are labeled as 200 m.

**Quadrant Choices:**

1. **Point B: Quadrant II**
   **Point C: Quadrant IV**

2. **Point B: Quadrant IV**
   **Point C: Quadrant II**

3. **Point B: Quadrant I**
   **Point C: Quadrant III**

4. **Point B: Quadrant I**
   **Point C: Quadrant II**

5. **Point B: Quadrant IV**
   **Point C: Quadrant I**

6. **None of the above**

Students are challenged to determine the correct directional quadrants for the total acceleration vectors at points B and C based on the car's motion—speeding up through point B and slowing down at point C.

**Note for Educators:**
This exercise helps students apply concepts of physics related to motion along a path and analyze changes in velocity and acceleration vectors using quadrant systems.
Transcribed Image Text:**Title: Understanding Acceleration Vectors at Points on a Curve** **Description:** In the figure below, suppose that the car is speeding up as it passes through point B and slowing down as it passes through point C. In what direction does the total acceleration vector point at points B and C? Answer in terms of a quadrant (I, II, III, or IV). **Diagram Explanation:** - The diagram shows a car moving along a curved path with three key points: A, B, and C. - At point A, the car is moving towards point B, which is located in a dip of the path. The velocity vector is shown pointing horizontally to the right. - At point B, the car is speeding up as it moves upward towards point C. - At point C, the car is slowing down as it reaches the crest of the path, preparing to descend. - Both radii, r, from the center of circular paths at points B and C are labeled as 200 m. **Quadrant Choices:** 1. **Point B: Quadrant II** **Point C: Quadrant IV** 2. **Point B: Quadrant IV** **Point C: Quadrant II** 3. **Point B: Quadrant I** **Point C: Quadrant III** 4. **Point B: Quadrant I** **Point C: Quadrant II** 5. **Point B: Quadrant IV** **Point C: Quadrant I** 6. **None of the above** Students are challenged to determine the correct directional quadrants for the total acceleration vectors at points B and C based on the car's motion—speeding up through point B and slowing down at point C. **Note for Educators:** This exercise helps students apply concepts of physics related to motion along a path and analyze changes in velocity and acceleration vectors using quadrant systems.
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