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).

Is a  vector quantity  that refers to "the rate at which an object changes its position." imagine a person moving rapidly - one step forward and one step back - always returning to the original starting position. while this might result in a frenzy of activity, it would result in a zero velocity. because the person always returns to the original position, the motion would never result in a change in position. since velocity is defined as the rate at which the position changes, this motion results in zero velocity. if a person in motion wishes to maximize their velocity, then that person must make every effort to maximize the amount that they are displaced from their original position. every step must go into moving that person further from where he or she started. for certain, the person should never change directions and begin to return to the starting position.