When a car skids to a stop, the length L, in feet, of the skid marks is related to the speed S, in miles per hour, of the car by the power function below. 30h Here the constant h is the friction coefficient, which depends on the road surface.t For dry concrete pavement, the value of h is about 0.85. (Round your answers to two decimal places.) (a) If a driver going 65 miles per hour on dry concrete jams on the brakes and skids to a stop, how long will the skid marks be? ft (b) A policeman investigating an accident on dry concrete pavement finds skid marks 163 feet long. The speed limit in the area is 70 miles per hour. Is the driver in danger of getting a speeding ticket? The driver's speed was mph so it appears the driver v be in danger of getting a ticket. would not (c) This part of the problem applies to any road surface, so the value of h is not known. Suppose you are driving at 60 miles per hour but, because of approaching darkness, you wish to slow to a speed that will cut your emergency stopping distance in half. What should your new speed be? (Hint: You should use the homogeneity property of power functions here. By what factor should you change your speed to ensure that L changes by a factor of 0.5?) mph
When a car skids to a stop, the length L, in feet, of the skid marks is related to the speed S, in miles per hour, of the car by the power function below. 30h Here the constant h is the friction coefficient, which depends on the road surface.t For dry concrete pavement, the value of h is about 0.85. (Round your answers to two decimal places.) (a) If a driver going 65 miles per hour on dry concrete jams on the brakes and skids to a stop, how long will the skid marks be? ft (b) A policeman investigating an accident on dry concrete pavement finds skid marks 163 feet long. The speed limit in the area is 70 miles per hour. Is the driver in danger of getting a speeding ticket? The driver's speed was mph so it appears the driver v be in danger of getting a ticket. would not (c) This part of the problem applies to any road surface, so the value of h is not known. Suppose you are driving at 60 miles per hour but, because of approaching darkness, you wish to slow to a speed that will cut your emergency stopping distance in half. What should your new speed be? (Hint: You should use the homogeneity property of power functions here. By what factor should you change your speed to ensure that L changes by a factor of 0.5?) mph
Chapter6: Exponential And Logarithmic Functions
Section6.1: Exponential Functions
Problem 60SE: The formula for the amount A in an investmentaccount with a nominal interest rate r at any timet is...
Related questions
Question
Transcribed Image Text:When a car skids to a stop, the length L, in feet, of the skid marks is related
to the speed S, in miles per hour, of the car by the power function below.
30h
Here the constant h is the friction coefficient, which depends on the road
surface.t For dry concrete pavement, the value of h is about 0.85. (Round
your answers to two decimal places.)
(a) If a driver going 65 miles per hour on dry concrete jams on the
brakes and skids to a stop, how long will the skid marks be?
ft
(b) A policeman investigating an accident on dry concrete pavement
finds skid marks 163 feet long. The speed limit in the area is 70 miles
per hour. Is the driver in danger of getting a speeding ticket?
The driver's speed was
mph so it appears the driver
v be in danger of getting a ticket.
would not
(c) This part of the problem applies to any road surface, so the value of
h is not known. Suppose you are driving at 60 miles per hour but,
because of approaching darkness, you wish to slow to a speed that will
cut your emergency stopping distance in half. What should your new
speed be? (Hint: You should use the homogeneity property of power
functions here. By what factor should you change your speed to ensure
that L changes by a factor of 0.5?)
mph
Expert Solution
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 4 steps
Recommended textbooks for you
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell