"DISTANCE BETWEEN TWO CARS A car leaves an intersection traveling west. Its position 4 sec later is 20 ft from the intersection. At the same time, another car leaves the same intersection heading north so that its position t sec later is t² + 2t ft from the intersection. If the speed of the first car 4 sec after leaving the intersection is 9 ft /sec, find the rate at which the distance between the two cars is changing at that instant of time."
"DISTANCE BETWEEN TWO CARS A car leaves an intersection traveling west. Its position 4 sec later is 20 ft from the intersection. At the same time, another car leaves the same intersection heading north so that its position t sec later is t² + 2t ft from the intersection. If the speed of the first car 4 sec after leaving the intersection is 9 ft /sec, find the rate at which the distance between the two cars is changing at that instant of time."
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
Related questions
Question
![6:56
ㅈ
rccd.instructure.com
Problem to Work Out
Textbook problem 3.6.55:
5G(
"DISTANCE BETWEEN TWO
CARS A car leaves an
intersection traveling west. Its
position 4 sec later is 20 ft
from the intersection. At the
same time, another car leaves
the same intersection heading
north so that its position t sec
later is t² + 2t ft from the
intersection. If the speed of the
first car 4 sec after leaving the
intersection is 9 ft /sec, find
the rate at which the distance
between the two cars is
changing at that instant of
time."
+
7](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F141d5f7a-75fc-49c7-9037-5cf3da0eacf9%2Ffcc16166-b30b-4c63-81b3-d0498551eb7d%2F2esw41l_processed.png&w=3840&q=75)
Transcribed Image Text:6:56
ㅈ
rccd.instructure.com
Problem to Work Out
Textbook problem 3.6.55:
5G(
"DISTANCE BETWEEN TWO
CARS A car leaves an
intersection traveling west. Its
position 4 sec later is 20 ft
from the intersection. At the
same time, another car leaves
the same intersection heading
north so that its position t sec
later is t² + 2t ft from the
intersection. If the speed of the
first car 4 sec after leaving the
intersection is 9 ft /sec, find
the rate at which the distance
between the two cars is
changing at that instant of
time."
+
7
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 2 steps with 1 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
![Calculus: Early Transcendentals](https://www.bartleby.com/isbn_cover_images/9781285741550/9781285741550_smallCoverImage.gif)
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
![Thomas' Calculus (14th Edition)](https://www.bartleby.com/isbn_cover_images/9780134438986/9780134438986_smallCoverImage.gif)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
![Calculus: Early Transcendentals (3rd Edition)](https://www.bartleby.com/isbn_cover_images/9780134763644/9780134763644_smallCoverImage.gif)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
![Calculus: Early Transcendentals](https://www.bartleby.com/isbn_cover_images/9781285741550/9781285741550_smallCoverImage.gif)
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
![Thomas' Calculus (14th Edition)](https://www.bartleby.com/isbn_cover_images/9780134438986/9780134438986_smallCoverImage.gif)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
![Calculus: Early Transcendentals (3rd Edition)](https://www.bartleby.com/isbn_cover_images/9780134763644/9780134763644_smallCoverImage.gif)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
![Calculus: Early Transcendentals](https://www.bartleby.com/isbn_cover_images/9781319050740/9781319050740_smallCoverImage.gif)
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
![Precalculus](https://www.bartleby.com/isbn_cover_images/9780135189405/9780135189405_smallCoverImage.gif)
![Calculus: Early Transcendental Functions](https://www.bartleby.com/isbn_cover_images/9781337552516/9781337552516_smallCoverImage.gif)
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning