Problem 1. In deriving braking distance, we assume a constant acceleration/deceleration rate, a. In fact, AASHTO assumes constant acceleration a(t) = = c (constant) in most of its design procedures. Although this is not entirely true, distances required for acceleration or deceleration can be realistic if appropriate values are chosen for the constant acceleration process. Linear acceleration a(t) = c₁ t (t is time elapse and c₁ is jerk rate or rate of change) is a better approximation to the acceleration process. ' a) What is the practical stopping distance for a vehicle with initial speed 70 mph, if acceleration is described by a linear function of time using a (t) = -1.8t (t is time elapse in seconds). b) Use a constant acceleration rate to achieve the same stopping distance. What is this constant acceleration rate?
Problem 1. In deriving braking distance, we assume a constant acceleration/deceleration rate, a. In fact, AASHTO assumes constant acceleration a(t) = = c (constant) in most of its design procedures. Although this is not entirely true, distances required for acceleration or deceleration can be realistic if appropriate values are chosen for the constant acceleration process. Linear acceleration a(t) = c₁ t (t is time elapse and c₁ is jerk rate or rate of change) is a better approximation to the acceleration process. ' a) What is the practical stopping distance for a vehicle with initial speed 70 mph, if acceleration is described by a linear function of time using a (t) = -1.8t (t is time elapse in seconds). b) Use a constant acceleration rate to achieve the same stopping distance. What is this constant acceleration rate?
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Related questions
Question
![Problem 1. In deriving braking distance, we assume a constant acceleration/deceleration rate, a.
In fact, AASHTO assumes constant acceleration a(t) = c (constant) in most of its design
procedures. Although this is not entirely true, distances required for acceleration or deceleration
can be realistic if appropriate values are chosen for the constant acceleration process. Linear
acceleration a(t) = c₁ ⋅ t (t is time elapse and c₁ is jerk rate or rate of change) is a better
approximation to the acceleration process.
a) What is the practical stopping distance for a vehicle with initial speed 70 mph, if acceleration
is described by a linear function of time using a(t) = -1.8t (t is time elapse in seconds).
b) Use a constant acceleration rate to achieve the same stopping distance. What is this constant
acceleration rate?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fed7b56a3-2e66-4877-848b-86d54658cb11%2F8f59df05-ba47-4edb-aedf-d5689d732d48%2Fgdwynze_processed.png&w=3840&q=75)
Transcribed Image Text:Problem 1. In deriving braking distance, we assume a constant acceleration/deceleration rate, a.
In fact, AASHTO assumes constant acceleration a(t) = c (constant) in most of its design
procedures. Although this is not entirely true, distances required for acceleration or deceleration
can be realistic if appropriate values are chosen for the constant acceleration process. Linear
acceleration a(t) = c₁ ⋅ t (t is time elapse and c₁ is jerk rate or rate of change) is a better
approximation to the acceleration process.
a) What is the practical stopping distance for a vehicle with initial speed 70 mph, if acceleration
is described by a linear function of time using a(t) = -1.8t (t is time elapse in seconds).
b) Use a constant acceleration rate to achieve the same stopping distance. What is this constant
acceleration rate?
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 5 steps
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.Recommended textbooks for you
![Structural Analysis](https://compass-isbn-assets.s3.amazonaws.com/isbn_cover_images/9781337630931/9781337630931_smallCoverImage.jpg)
![Structural Analysis (10th Edition)](https://www.bartleby.com/isbn_cover_images/9780134610672/9780134610672_smallCoverImage.gif)
Structural Analysis (10th Edition)
Civil Engineering
ISBN:
9780134610672
Author:
Russell C. Hibbeler
Publisher:
PEARSON
![Principles of Foundation Engineering (MindTap Cou…](https://www.bartleby.com/isbn_cover_images/9781337705028/9781337705028_smallCoverImage.gif)
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning
![Structural Analysis](https://compass-isbn-assets.s3.amazonaws.com/isbn_cover_images/9781337630931/9781337630931_smallCoverImage.jpg)
![Structural Analysis (10th Edition)](https://www.bartleby.com/isbn_cover_images/9780134610672/9780134610672_smallCoverImage.gif)
Structural Analysis (10th Edition)
Civil Engineering
ISBN:
9780134610672
Author:
Russell C. Hibbeler
Publisher:
PEARSON
![Principles of Foundation Engineering (MindTap Cou…](https://www.bartleby.com/isbn_cover_images/9781337705028/9781337705028_smallCoverImage.gif)
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning
![Fundamentals of Structural Analysis](https://www.bartleby.com/isbn_cover_images/9780073398006/9780073398006_smallCoverImage.gif)
Fundamentals of Structural Analysis
Civil Engineering
ISBN:
9780073398006
Author:
Kenneth M. Leet Emeritus, Chia-Ming Uang, Joel Lanning
Publisher:
McGraw-Hill Education
![Sustainable Energy](https://www.bartleby.com/isbn_cover_images/9781337551663/9781337551663_smallCoverImage.gif)
![Traffic and Highway Engineering](https://www.bartleby.com/isbn_cover_images/9781305156241/9781305156241_smallCoverImage.jpg)
Traffic and Highway Engineering
Civil Engineering
ISBN:
9781305156241
Author:
Garber, Nicholas J.
Publisher:
Cengage Learning