A police car waits in hiding slightly off the highway. A speeding car is spotted by the police car doing 63 m/s. At the instant the speeding car passes the police car, the police car accelerates from rest at 3 m/s2 to catch the speeding car. How long (in s) does it take the police car to catch the speeding car

it would be kevlar ^^

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 .