Explanation Given: The number of seconds n for the yellow light is critical to safety at a traffic signal. The formula for setting the time is: n = t + 0.5 v a + w + l v . Here, t is the perception-reaction time of a driver in seconds, v is the average approach velocity in feet per second, a is the deceleration rate in feet per second per second, w is the crossing-street width in feet, and l is the average vehicle length in feet. If we assume that the average perception-reaction time is 1 second, the approach velocity is 40 miles per hour ( 58 To determine (b) To calculate: The lengths of the yellow light times compare when the crossing street for one signal is 10 feet wider than the crossing street for another signal. To determine (c) To calculate: The value of n ( 70 ) . Also explain in practical terms what the answer means. To determine (d) To calculate: The crossing street width that would warrant a 5-second yellow light.

6th Edition

ISBN: 9781337801287

Author: Crauder

Publisher: MCGRAW-HILL HIGHER EDUCATION

See similar textbooks

Concept explainers

Minimization

In mathematics, traditional optimization problems are typically expressed in terms of minimization. When we talk about minimizing or maximizing a function, we refer to the maximum and minimum possible values of that function. This can be expressed in ter…

Maxima and Minima

The extreme points of a function are the maximum and the minimum points of the function. A maximum is attained when the function takes the maximum value and a minimum is attained when the function takes the minimum value.

Derivatives

A derivative means a change. Geometrically it can be represented as a line with some steepness. Imagine climbing a mountain which is very steep and 500 meters high. Is it easier to climb? Definitely not! Suppose walking on the road for 500 meters. Which …

Concavity

In calculus, concavity is a descriptor of mathematics that tells about the shape of the graph. It is the parameter that helps to estimate the maximum and minimum value of any of the functions and the concave nature using the graphical method. We use the …

Videos

Question

Chapter 3.2, Problem 26E

To determine

(a)

To calculate:

The minimum time the yellow light should be on, no matter what the width of the crossing street.

To determine

(b)

To calculate:

The lengths of the yellow light times compare when the crossing street for one signal is 10 feet wider than the crossing street for another signal.

To determine

(c)

To calculate:

The value of n(70). Also explain in practical terms what the answer means.

To determine

(d)

To calculate:

The crossing street width that would warrant a 5-second yellow light.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 3.2, Problem 25E

Chapter 3.2, Problem 27E

Students have asked these similar questions

3. Write a system of linear equations in slope intercept form that has exactly one solution at the point (3, 4), such that one line has positive slope (but not 1) and the other line has negative slope (but not "1). Also write your system of equations with both equations written in standard form with out any fractions 8- 7 8 5 4 3 -2- + -8-7-6-5-4-3-2-1 1 2 3 -1 2 - ° 4 -5 - -8

2. Write a system of linear equations in slope-intercept form has exactly one solution at the point (3, 4), such that both lines have negative slope (but neither one has slope of 1). Also write your system of equations with both equations written in standard form without any fractions. B 0 5 4 3 -2 1 -8-7-6-5-4-3-2 -1 12 3 -1 2 -3 -5 6 -7 -8

4. Write a system of linear equations in slope-intercept form that has no solution, such that (3, 4), and (3,8) are solutions to the first equation, and (0, 4) is a solution to the second equation. Also write your system of equations with both equations written in standard form with out any fractions B 0 5 4 3 -2 + -8-7-6-5-4-3-2 -1 |- 1 2 3 -1 2 -3 4 -5 6 -7

Chapter 3 Solutions

FUNCTIONS AND CHANGE COMBO

Ch. 3.1 - Suppose that the peak of the roof occurs 20 rather...Ch. 3.1 - Re-do the example under the assumption that the...Ch. 3.1 - Reminder Round all answers two decimal places...Ch. 3.1 - Reminder Round all answers to two decimals places...Ch. 3.1 - Reminder Round all answers to two decimal places...Ch. 3.1 - Reminder Round all answers to two decimal places...Ch. 3.1 - Reminder Round all answers to two decimals places...Ch. 3.1 - Prob. 6E Ch. 3.1 - Slides A company manufactures slides. The top of...Ch. 3.1 - Felling a Tree A tree service is to fell a tree. A...

Knowledge Booster

$Algebra$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.

(a) To calculate: The minimum time the yellow light should be on, no matter what the width of the crossing street.

Solution Summary: The author calculates the minimum time the yellow light should be on, no matter the width of the crossing street.

Concept explainers

Videos

(a) To calculate: The minimum time the yellow light should be on, no matter what the width of the crossing street.

(b) To calculate: The lengths of the yellow light times compare when the crossing street for one signal is 10 feet wider than the crossing street for another signal.

(c) To calculate: The value of n(70). Also explain in practical terms what the answer means.

(d) To calculate: The crossing street width that would warrant a 5-second yellow light.

Want to see the full answer?

Chapter 3 Solutions

(a)

To calculate:

The minimum time the yellow light should be on, no matter what the width of the crossing street.

(b)

To calculate:

The lengths of the yellow light times compare when the crossing street for one signal is 10 feet wider than the crossing street for another signal.

(c)

To calculate:

The value of n(70). Also explain in practical terms what the answer means.

(d)

To calculate:

The crossing street width that would warrant a 5-second yellow light.