35.0° C B А
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A car initially traveling eastward turns north by traveling in a circular path at uniform speed as shown in the figure below. The length of the arc ABC is 218 m, and the car completes the turn in 35.0 s.
(a) Determine the car's speed.
m/s
(b) What is the magnitude and direction of the acceleration when the car is at point B?
m/s
(b) What is the magnitude and direction of the acceleration when the car is at point B?
| magnitude | m/s2 |
| direction | ° counterclockwise from the +x-axis |
Transcribed Image Text:The image depicts a coordinate plane with the x-axis and y-axis intersecting at point O, which is the origin. There are several key elements in this diagram:
1. **Axes**:
- The horizontal x-axis is labeled.
- The vertical y-axis is labeled.
2. **Points**:
- Point O represents the origin where the x-axis and y-axis meet.
- Point A is located below the origin on the negative y-axis. An arrow from A points to the right along the x-axis, indicating movement or direction.
- Point B is located in the first quadrant, above the x-axis and to the right of the origin.
3. **Lines**:
- A solid line is drawn from point O to point B.
- The angle formed by this line and the x-axis at the origin O is labeled as 35.0°.
4. **Curve**:
- A dashed curve connects point A to point B, indicating some form of path or trajectory.
- This curve bends upwards from A, passing through B towards C.
5. **Vectors**:
- A red vector originates from point A and points horizontally to the right.
- Another red vector points vertically upward from point O.
This diagram could represent a physics problem involving vectors, such as motion with an initial angle, or a mathematical problem illustrating polar coordinates or trigonometry.
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