Emily dives off a 10 m diving board. She reaches a maximum height of 11.2 m (from the water), and lands 2.6 m away in the horizontal direction. What was her initial velocity? (Include magnitude and angle above the horizontal)

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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 .