STOPPING DISTANCE The stopping distance of anautomobile is the distance traveled during

Chapter 0, Problem 116

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STOPPING DISTANCE The stopping distance of anautomobile is the distance traveled during the driversreaction time plus the distance traveled after the brakesare applied. In an experiment, these distances weremeasured (in feet) when the automobile was travelingat a speed of miles per hour on dry, level pavement,as shown in the bar graph. The distance traveledduring the reaction time R wasR 1.1xand the braking distance B wasB 0.0475x 2 0.001x 0.23.(a) Determine the polynomial that represents the totalstopping distance T(b) Use the result of part (a) to estimate the totalstopping distance when x 30, x 40, andx 55 miles per hour.(c) Use the bar graph to make a statement about thetotal stopping distance required for increasingspeeds.

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