A racecar is headed directly west at 58.0 m/s as it approaches a sharp turn. After the turn, the car had to slow down to 37. m/s, and its new heading is 30° north of east. The maneuver took 5.50 s to execute. Which of the following shows the direction of the average acceleration vector over those 5.50 s? 37.2 m/s 60° 58.0 m/s

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Chapter1: Units, Trigonometry. And Vectors
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This image displays four arrows labeled a, b, c, and d:

a. A horizontal arrow pointing to the right.
b. An arrow pointing diagonally upwards to the left.
c. An arrow pointing diagonally downwards to the right.
d. An arrow pointing diagonally upwards to the right.

These arrows can represent vectors in a mathematical context, illustrating direction and magnitude. They may also be used to indicate movement or force in physics diagrams, emphasizing the concept of directionality in various educational scenarios.
Transcribed Image Text:This image displays four arrows labeled a, b, c, and d: a. A horizontal arrow pointing to the right. b. An arrow pointing diagonally upwards to the left. c. An arrow pointing diagonally downwards to the right. d. An arrow pointing diagonally upwards to the right. These arrows can represent vectors in a mathematical context, illustrating direction and magnitude. They may also be used to indicate movement or force in physics diagrams, emphasizing the concept of directionality in various educational scenarios.
**Racecar Acceleration Analysis**

A racecar is initially headed directly west at a speed of 58.0 m/s as it approaches a sharp turn. During the turn, the car decelerates to 37.2 m/s, and its new heading is 30° north of east. The maneuver takes 5.50 seconds to execute. This prompts the question: Which direction is the average acceleration vector over these 5.50 seconds?

**Diagram Explanation:**

- The initial vector is shown as a horizontal red arrow pointing left, labeled "58.0 m/s."
- The final velocity is shown as a shorter red arrow pointing upwards at a 30° angle north of east, labeled "37.2 m/s."
- A blue dotted reference line marks the initial westward direction.
- The angle between the final velocity vector and the westward reference line is marked as 60°.

This setup indicates a change in both the magnitude and the direction of the velocity, which results in an average acceleration vector that needs to be determined.
Transcribed Image Text:**Racecar Acceleration Analysis** A racecar is initially headed directly west at a speed of 58.0 m/s as it approaches a sharp turn. During the turn, the car decelerates to 37.2 m/s, and its new heading is 30° north of east. The maneuver takes 5.50 seconds to execute. This prompts the question: Which direction is the average acceleration vector over these 5.50 seconds? **Diagram Explanation:** - The initial vector is shown as a horizontal red arrow pointing left, labeled "58.0 m/s." - The final velocity is shown as a shorter red arrow pointing upwards at a 30° angle north of east, labeled "37.2 m/s." - A blue dotted reference line marks the initial westward direction. - The angle between the final velocity vector and the westward reference line is marked as 60°. This setup indicates a change in both the magnitude and the direction of the velocity, which results in an average acceleration vector that needs to be determined.
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