Stopping Distance The research and development department of an automobile manufacturer ha...

Stopping Distance The research and development department of an automobile manufacturer has determined that when a driver is required to stop quickly to avoid an accident, the distance (in feet) the car travels during the driver’s reaction time is given by , where x- is the speed of the car in miles per hour. The distance (in feet) traveled while the driver is braking is given by .

(a) Find the function that represents the total stopping distance T.

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(b) Graph the functions R, B, and T on the same set of coordinate axes for 0 ≤ x ≤ 60.

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(c) Which function contributes most to the magnitude of the sum at higher speeds? Explain.