aravan Analogy.Consider a highway that has tollbooths every 120 km. Suppose that cars travel at a rate of 120 km/hr (cars have instant acceleration to 120 km/hr and maintain that constant speed between tollbooths). If there is a convoy of 22 cars, and it takes each car an average of 24 seconds to clear the tollbooth, calculate the following. a.  Suppose the caravan travels 360 km, beginning in front of one tollbooth, passing through a second and third tollbooth and finishing just after a fourth tollbooth. What is the end-to-end delay, in minutes, from the time the first car goes through tollbooth 1 until the last cargoes through tollbooth 4? b.The cast members of “The Fast and the Furious” show up. Instead of 22 cars, there arenow 18 cars. These 18 cars travel 220 km/hr instead of 120 km/hr. What is the new end-to-end delay in minutes? c. Consider the diagram below. The police are on to the cast of “The Fast and the Furious”. These 18 cars travel 280 km/hr on segments A and B (where spotters have reported no cops are hiding) and 120 km/hr on segment C (where spotters have noticed cops lying in wait).Toll booth delays are the same as before. What is the new end-to-end delay in minutes?

Glencoe Physics: Principles and Problems, Student Edition
1st Edition
ISBN:9780078807213
Author:Paul W. Zitzewitz
Publisher:Paul W. Zitzewitz
Chapter1: A Physics Toolkit
Section: Chapter Questions
Problem 6STP
icon
Related questions
icon
Concept explainers
Topic Video
Question

Caravan Analogy.Consider a highway that has tollbooths every 120 km. Suppose that cars travel at a rate of 120 km/hr (cars have instant acceleration to 120 km/hr and maintain that constant speed between tollbooths). If there is a convoy of 22 cars, and it takes each car an average of 24 seconds to clear the tollbooth, calculate the following.


a.  Suppose the caravan travels 360 km, beginning in front of one tollbooth, passing through a second and third tollbooth and finishing just after a fourth tollbooth. What is the end-to-end delay, in minutes, from the time the first car goes through tollbooth 1 until the last cargoes through tollbooth 4?


b.The cast members of “The Fast and the Furious” show up. Instead of 22 cars, there arenow 18 cars. These 18 cars travel 220 km/hr instead of 120 km/hr. What is the new end-to-end delay in minutes?


c. Consider the diagram below. The police are on to the cast of “The Fast and the Furious”. These 18 cars travel 280 km/hr on segments A and B (where spotters have reported no cops are hiding) and 120 km/hr on segment C (where spotters have noticed cops lying in wait).Toll booth delays are the same as before. What is the new end-to-end delay in minutes?

Numbered boxes are toll booths
Lettered arrows are stretches of road
1
A
2
B
3
C
4
Transcribed Image Text:Numbered boxes are toll booths Lettered arrows are stretches of road 1 A 2 B 3 C 4
Expert Solution
Step 1

Given,

A highway that has tollbooths every 120 km. 

Cars travel at a rate of 120 km/hr.

There is a convoy of 22 cars, and it takes each car an average of 24 seconds to clear the tollbooth.

 

 

trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps

Blurred answer
Knowledge Booster
Displacement, velocity and acceleration
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Glencoe Physics: Principles and Problems, Student…
Glencoe Physics: Principles and Problems, Student…
Physics
ISBN:
9780078807213
Author:
Paul W. Zitzewitz
Publisher:
Glencoe/McGraw-Hill
Physics for Scientists and Engineers, Technology …
Physics for Scientists and Engineers, Technology …
Physics
ISBN:
9781305116399
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
College Physics
College Physics
Physics
ISBN:
9781285737027
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
Principles of Physics: A Calculus-Based Text
Principles of Physics: A Calculus-Based Text
Physics
ISBN:
9781133104261
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Physics for Scientists and Engineers with Modern …
Physics for Scientists and Engineers with Modern …
Physics
ISBN:
9781337553292
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning