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
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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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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