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) = 2.3v. Suppose that the braking distance B, in feet, for a car is given by B(v) = 0.03v² +0.5v-15. (a) Find the stopping distance function, D(v) = R(v) + B(v). (b) Find the stopping distance if the car is traveling at a speed of 70 mph. (c) Interpret D(70).
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) = 2.3v. Suppose that the braking distance B, in feet, for a car is given by B(v) = 0.03v² +0.5v-15. (a) Find the stopping distance function, D(v) = R(v) + B(v). (b) Find the stopping distance if the car is traveling at a speed of 70 mph. (c) Interpret D(70).
Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 6ECP: The resistance of a copper wire carrying an electrical current is directly proportional to its...
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Transcribed Image Text: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) = 2.3v. Suppose that the
braking distance B, in feet, for a car is given by B(v) = 0.03v² +0.5v-15.
(a) Find the stopping distance function, D(v) = R(v) + B(v).
(b) Find the stopping distance if the car is traveling at a speed of 70 mph.
(c) Interpret D(70).
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