Car A is traveling on a highway at a constant speed 0( ) 60mi/h, Av = and is 380 ft from the entrance of an access ramp when car B enters the acceleration lane at that point at a speed 0( ) 15mi/h, Bv = Car B accelerates uniformly and enters the main traffic lane after traveling 200 ft in 5 s. It then continues to accelerate at the same rate until it reaches a speed of 60mi/h, which it then maintains. Determine the final distance between the two cars.

neither accurate nor precise.

we have been given a quadratic function and we need to restrict the domain such that it becomes a one to one function.

we know that vertex of this quadratic function occurs at (5,2).

further, we know that range of this function is .

if we restrict the domain of this function to either or , it will become one to one function.

let us know find its inverse.

upon interchanging x and y, we get:

let us now solve this function for y.

hence, the inverse function would be if we restrict the domain of original function to and the inverse function would be if we restrict the domain to .