4 The stopping distance of an automobile, on dry, level pavement, traveling at a speed v (in kilometers per hour) is the distance R (in meters) the car travels during the reaction time of the driver plus the distance B (in meters) the car travels after the brakes areapplied (see figure). The table shows the results of the experiment.ReactionBrakingtimedistanceDriver seesDriver appliesCarobstaclebrakesstopsSpeed, v20| 4060 80100Reaction Time 8.6 17.0 25.3 33.6 42.0Distance, RBraking Time26 9.3 20.5 36.1 56.2Distance, B(a) Use the regression capabilities of a graphing utility to find a linear model for the reaction time distance R. (Round numerical values to four decimal places.)R(v) =(b) Use the regression capabilities of a graphing utility to find a quadratic model for braking distance B. (Round numerical values to four decimal places.)B(v) -(c) Determine the polynomial giving the total stopping distance T. (Round numerical values to four decimal places.)T(v) =

Given data is Speed, v 20 40 60 80 100 Reaction time distance, R 8.6 17.0 25.3 33.6 42.0…

The stopping distance of an automobile, on dry, level pavement, traveling at a speed v (in kilometers per hour) is the distance R (in meters) the car travels during the reaction time of the driver plus the distance B (in meters) the car travels after the brake applied (see figure). The table shows the results of the experiment. Reaction Braking time distance Driver sees Driver applies Car obstacle brakes stops 20 40 Reaction Time 8.6 17.0 25.3 33.6 42.0 Speed, v 60 80 100 Distance, R Braking Time 2.6 9.3 20.5 36.1 56.2 Distance, B (a) Use the regression capabilities of a graphing utility to find a linear model for the reaction time distance R. (Round numerical values to four decimal places.) R(v) =

The stopping distance of an automobile, on dry, level pavement, traveling at a speed v (in kilometers per hour) is the distance R (in meters) the car travels during the reaction time of the driver plus the distance B (in meters) the car travels after the brake applied (see figure). The table shows the results of the experiment. Reaction Braking time distance Driver sees Driver applies Car obstacle brakes stops 20 40 Reaction Time 8.6 17.0 25.3 33.6 42.0 Speed, v 60 80 100 Distance, R Braking Time 2.6 9.3 20.5 36.1 56.2 Distance, B (a) Use the regression capabilities of a graphing utility to find a linear model for the reaction time distance R. (Round numerical values to four decimal places.) R(v) =

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

ChapterP: Prerequisites

SectionP.1: Modeling The Real World With Algebra

Problem 23E: Grade Point Average In many universities students are given grade points for each credit unit...

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Question

The stopping distance of an automobile, on dry, level pavement, traveling at a speed v (in kilometers per hour) is the distance R (in meters) the car travels during the reaction time of the driver plus the distance B (in meters) the car travels after the brakes are
applied (see figure). The table shows the results of the experiment.
Reaction
Braking
time
distance
Driver sees
Driver applies
Car
obstacle
brakes
stops
Speed, v
20| 40
60 80
100
Reaction Time 8.6 17.0 25.3 33.6 42.0
Distance, R
Braking Time26 9.3 20.5 36.1 56.2
Distance, B
(a) Use the regression capabilities of a graphing utility to find a linear model for the reaction time distance R. (Round numerical values to four decimal places.)
R(v) =
(b) Use the regression capabilities of a graphing utility to find a quadratic model for braking distance B. (Round numerical values to four decimal places.)
B(v) -
(c) Determine the polynomial giving the total stopping distance T. (Round numerical values to four decimal places.)
T(v) =

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