(II) A sports car accelerates approximately as shown in the velocity-time graph of Fig. 2-43. (The short flat spots in the curve represent manual shifting of the gears.) Estimate the car's average acceleration in (a) second gear and (b) fourth gear. (s/w) 2 50 40 30 P20 10 0 2nd gear 1st gear 3rd gear 10 20 5th gear 4th gear 30 40 t (s)

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A sports car accelerates approximately as shown in the velocity-time graph of Fig. 2-43. (The short flat spots in the curve represent manual shifting of the gears.) Estimate the car's average acceleration in (a) second gear and (b) fourth gear. Plot the graph for this problem. 

**Text from Image:**

A sports car accelerates approximately as shown in the velocity–time graph of Fig. 2–43. (The short flat spots in the curve represent manual shifting of the gears.) Estimate the car’s average acceleration in (a) second gear and (b) fourth gear.

**Graph Explanation:**

The graph is a velocity-time curve showing the acceleration of a sports car through different gears:

- **Axes:**
  - The x-axis represents time (\( t \)), measured in seconds (s).
  - The y-axis represents velocity (\( v \)), measured in meters per second (m/s).

- **Curve Description:**
  - The curve shows a step-like pattern representing the car's acceleration through different gears from 1st to 5th gear.
  - Flat portions of the curve indicate moments when the gears are being manually shifted.

- **Gear Transitions:**
  - As the car progresses from 1st to 5th gear, the slope of the curve changes, indicating variations in acceleration.
  - In the 1st gear, the velocity increases steeply.
  - The slope decreases slightly in the 2nd gear compared to the 1st, but still shows a significant increase in velocity.
  - The transition to 3rd gear presents a continued but gradual increase in velocity.
  - The 4th gear shows a similar pattern to 3rd but with a milder slope.
  - The 5th gear has the mildest slope as velocity increases more gradually.

This graph can be utilized to estimate average acceleration in each gear by calculating the change in velocity over the change in time for the respective sections of the curve.
Transcribed Image Text:**Text from Image:** A sports car accelerates approximately as shown in the velocity–time graph of Fig. 2–43. (The short flat spots in the curve represent manual shifting of the gears.) Estimate the car’s average acceleration in (a) second gear and (b) fourth gear. **Graph Explanation:** The graph is a velocity-time curve showing the acceleration of a sports car through different gears: - **Axes:** - The x-axis represents time (\( t \)), measured in seconds (s). - The y-axis represents velocity (\( v \)), measured in meters per second (m/s). - **Curve Description:** - The curve shows a step-like pattern representing the car's acceleration through different gears from 1st to 5th gear. - Flat portions of the curve indicate moments when the gears are being manually shifted. - **Gear Transitions:** - As the car progresses from 1st to 5th gear, the slope of the curve changes, indicating variations in acceleration. - In the 1st gear, the velocity increases steeply. - The slope decreases slightly in the 2nd gear compared to the 1st, but still shows a significant increase in velocity. - The transition to 3rd gear presents a continued but gradual increase in velocity. - The 4th gear shows a similar pattern to 3rd but with a milder slope. - The 5th gear has the mildest slope as velocity increases more gradually. This graph can be utilized to estimate average acceleration in each gear by calculating the change in velocity over the change in time for the respective sections of the curve.
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