Modeling Data The stopping distance of an automobile, on

Chapter 2, Problem 101

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Modeling Data The stopping distance of an automobile, on dry, level pavement, traveling at a speed (kilometers per hour) is the distance (meters) the car travels during the reaction time of the driver plus the distance (meters) the car travels after the brakes are applied (see figure). The table shows the results of an experiment. (a) Use the regression capabilities of a graphing utility to find a linear model for reaction time distance. (b) Use the regression capabilities of a graphing utility to find a quadratic model for braking distance. (c) Determine the polynomial giving the total stopping distance (d) Use a graphing utility to graph the functions and in the same viewing window. (e) Find the derivative of and the rates of change of the total stopping distance for and (f) Use the results of this exercise to draw conclusions about the total stopping distance as speed increases. 2x3