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Determine the minimum distance d between the cars so as to avoid a collision.

Determine the minimum distance d between the cars so as to avoid a collision.

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Determine the minimum distance d between the cars so as to avoid a collision.

### Collision Avoidance Calculation - Educational Exercise --- #### Problem Scenario: *Car B* is traveling a distance \( d \) ahead of *Car A*. Both cars are moving at a speed of 60 ft/s when the driver of *Car B* suddenly applies the brakes, causing their car to decelerate at 11 ft/\( s^2 \). The driver of *Car A* has a reaction time of 0.75 seconds (this is the normal reaction time for drivers). When the driver of *Car A* applies the brakes, the deceleration rate is 18 ft/\( s^2 \). ![Diagram Representation](resource://Figure 1) --- #### Part A: **Objective:** Determine the minimum distance \( d \) between the cars to avoid a collision. **Instructions:** Express your answer to three significant figures and include the appropriate units. **Hints:** Available upon request. --- **Answer Input:** \[ d = \text{Value} \, \text{ft} \] *Submission Button:* Submit **Response to Submission:** - If incorrect: "Incorrect; Try Again" --- **Additional Features:** - Previous Answers review. - Request further hints if needed. *Feedback Option:* Provide Feedback --- _STRUCTURAL LAYOUT OF THE PROBLEM:_ - Initial Conditions: Both cars traveling at 60 ft/s - Deceleration of *Car B*: 11 ft/s² - Driver Reaction Time of *Car A*: 0.75 seconds - Deceleration of *Car A*: 18 ft/s² This exercise involves calculating the minimum safe following distance to ensure that the trailing car can come to a stop in time to avoid a collision, taking into account human reaction time and differing deceleration rates. ***Note: For graphical or equation aids, refer to:*** - [Figure 1] Rich resources can help students visualize the problem scenario and apply kinematic equations to work through real-world physics applications.
Transcribed Image Text:### Collision Avoidance Calculation - Educational Exercise --- #### Problem Scenario: *Car B* is traveling a distance \( d \) ahead of *Car A*. Both cars are moving at a speed of 60 ft/s when the driver of *Car B* suddenly applies the brakes, causing their car to decelerate at 11 ft/\( s^2 \). The driver of *Car A* has a reaction time of 0.75 seconds (this is the normal reaction time for drivers). When the driver of *Car A* applies the brakes, the deceleration rate is 18 ft/\( s^2 \). ![Diagram Representation](resource://Figure 1) --- #### Part A: **Objective:** Determine the minimum distance \( d \) between the cars to avoid a collision. **Instructions:** Express your answer to three significant figures and include the appropriate units. **Hints:** Available upon request. --- **Answer Input:** \[ d = \text{Value} \, \text{ft} \] *Submission Button:* Submit **Response to Submission:** - If incorrect: "Incorrect; Try Again" --- **Additional Features:** - Previous Answers review. - Request further hints if needed. *Feedback Option:* Provide Feedback --- _STRUCTURAL LAYOUT OF THE PROBLEM:_ - Initial Conditions: Both cars traveling at 60 ft/s - Deceleration of *Car B*: 11 ft/s² - Driver Reaction Time of *Car A*: 0.75 seconds - Deceleration of *Car A*: 18 ft/s² This exercise involves calculating the minimum safe following distance to ensure that the trailing car can come to a stop in time to avoid a collision, taking into account human reaction time and differing deceleration rates. ***Note: For graphical or equation aids, refer to:*** - [Figure 1] Rich resources can help students visualize the problem scenario and apply kinematic equations to work through real-world physics applications.
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