When the driver of a vehicle observes an​ impediment, the total stopping distance involves both the reaction dis

Question

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)=0.03v^2+0.3v−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​).

Answer 1

D(v) = 2.3v + (0.03v²+0.3v−15)

D(70) = 2.3(70) + (0.03(70)²+0.3(70)−15)

You must supply the interpretation.