A car traveling at 4.0 m/s has a constant acceleration of 2.0 m/s² in the same direction as the velocity. After 3.0 seconds, the distance traveled is

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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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The image displays a multiple-choice question format often found on educational websites. 

- On the left side, the number "12" is prominently displayed in a large, bold font, which likely indicates the question number in a series.

- On the right side, there are five options, each associated with a small circle indicating a selection mechanism (often used in online quizzes for selecting answers):

  1. 21 m.
  2. 17 m.
  3. 10 m.
  4. 13 m.
  5. 9 m.

There are no graphs or diagrams present in the image. The options appear to be formatted for easy clicking, suggesting they are part of an interactive quiz or test.
Transcribed Image Text:The image displays a multiple-choice question format often found on educational websites. - On the left side, the number "12" is prominently displayed in a large, bold font, which likely indicates the question number in a series. - On the right side, there are five options, each associated with a small circle indicating a selection mechanism (often used in online quizzes for selecting answers): 1. 21 m. 2. 17 m. 3. 10 m. 4. 13 m. 5. 9 m. There are no graphs or diagrams present in the image. The options appear to be formatted for easy clicking, suggesting they are part of an interactive quiz or test.
**Problem 12:**

A car traveling at 4.0 m/s has a constant acceleration of 2.0 m/s² in the same direction as the velocity. After 3.0 seconds, the distance traveled is:

### Solution:

To find the distance traveled, you can use the kinematic equation:

\[ s = ut + \frac{1}{2}at^2 \]

Where:
- \( s \) is the distance traveled,
- \( u \) is the initial velocity (\( 4.0 \, \text{m/s} \)),
- \( a \) is the acceleration (\( 2.0 \, \text{m/s}^2 \)),
- \( t \) is the time (\( 3.0 \, \text{s} \)).

Plugging in the values:

\[ s = (4.0 \, \text{m/s})(3.0 \, \text{s}) + \frac{1}{2}(2.0 \, \text{m/s}^2)(3.0 \, \text{s})^2 \]

\[ s = 12.0 \, \text{m} + \frac{1}{2}(2.0)(9.0) \]

\[ s = 12.0 \, \text{m} + 9.0 \, \text{m} \]

\[ s = 21.0 \, \text{m} \]

Therefore, the car travels a distance of 21.0 meters in 3.0 seconds.
Transcribed Image Text:**Problem 12:** A car traveling at 4.0 m/s has a constant acceleration of 2.0 m/s² in the same direction as the velocity. After 3.0 seconds, the distance traveled is: ### Solution: To find the distance traveled, you can use the kinematic equation: \[ s = ut + \frac{1}{2}at^2 \] Where: - \( s \) is the distance traveled, - \( u \) is the initial velocity (\( 4.0 \, \text{m/s} \)), - \( a \) is the acceleration (\( 2.0 \, \text{m/s}^2 \)), - \( t \) is the time (\( 3.0 \, \text{s} \)). Plugging in the values: \[ s = (4.0 \, \text{m/s})(3.0 \, \text{s}) + \frac{1}{2}(2.0 \, \text{m/s}^2)(3.0 \, \text{s})^2 \] \[ s = 12.0 \, \text{m} + \frac{1}{2}(2.0)(9.0) \] \[ s = 12.0 \, \text{m} + 9.0 \, \text{m} \] \[ s = 21.0 \, \text{m} \] Therefore, the car travels a distance of 21.0 meters in 3.0 seconds.
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