Make a model to solve the problem.When traffic lights are installed, planning must include the duration of the green and the yellow lights. The stopping distance d (in feet) for a car traveling v mph when the driver has a reaction time of t sec isd = 1.5tv + 0.06v2.Assume that the intersection is 50 ft wide and the speed limit is 45 mph. If the reaction time of the driver is 1 sec, what should the minimum duration for the yellow light be? (Hint: d = rt, where r is rate, but watch your units! Round your answer to two decimal places.)

Given: d=1.5tv+0.06v2 Speed limit=v=45 mph=0.0125 miles/s Reaction time= 1 sec

Answered: When traffic lights are installed,…

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...

See similar textbooks

Related questions

Question

Make a model to solve the problem.

When traffic lights are installed, planning must include the duration of the green and the yellow lights. The stopping distance d (in feet) for a car traveling v mph when the driver has a reaction time of t sec is

d = 1.5tv + 0.06v².

Assume that the intersection is 50 ft wide and the speed limit is 45 mph. If the reaction time of the driver is 1 sec, what should the minimum duration for the yellow light be?

(Hint: d = rt,

where r is rate, but watch your units! Round your answer to two decimal places.)

Expert Solution