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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) =

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.CR: Chapter 1 Review
Problem 86CR
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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) =
Transcribed Image Text: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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