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/s²This 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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Engineering

Mechanical Engineering

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

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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Question

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.

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