When the driver of a vehicle observes an impediment, the total stopping distance involves both the reaction distance (the distance the vehicle travels while the driver moves his or her foot to the brake pedal) and the braking distance (the distance the vehicle travels once the brakes are applied). For a car traveling at a speed of v miles per hour, the reaction distance R, in feet, can be estimated by R(v)equals=2.12.1v. Suppose that the braking distance B, in feet, for a car is given by B(v)equals 0.04 v squared plus 0.5 v minus 14=0.04v2+0.5v−14. (a) Find the stopping distance function, D(v)equals=R(v)plus+B(v). (b) Find the stopping distance if the car is traveling at a speed of 6060 mph. (c) Interpret D(6060).
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When the driver of a vehicle observes an impediment, the total stopping distance involves both the r...
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