A 75 kg father and his 45 kg daughter are ice skating on a nearly
frictionless pond. If they stand face to face at rest and push off one
another, the father attains a velocity of 1.5 m/s. What is the velocity of the
daughter? *

a person with a mass of 106kg has a weight of 1060n

it is a negative acceleration

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 .