7. A car drives 750 m directly to the north, stops, and then backs up 300 m to the south. a) What is the magnitude of the car's displacement?

is it cumpulsary to know how fast the car was moving or it dosn't have to deal with velocity

Explanation:

:)

no. dot product   =0 when vecs at right angles

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 .