Acar traveling at a speed of 24 m/s comes to a stop at a red light. how much time will it take for the car to stop if its acceleration is –8.0 m/s2? 3 s

The time it takes for a certain object to stop given its initial velocity is calculated by dividing the velocity by the deceleration given. That is,

                            Time = initial velocity / deceleration

                             Time = (24 m/s) / (8 m/s2)

The equation above will give us an answer of 3 s.

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 .