You manage to organize an event where all the faculty, staff, and students at pcc gather by the mirror pools to jump upwards, as high as they can, in unison, in order to push the earth downward. make an order-of-magnitude estimate of the speed they manage to impart to the earth as a result of the synchronized jump. as always, clearly state the quantities you are estimating.

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 .

the moving of the box is a result of centripetal force. think of that  as a car or a truck in this case creates a turn, the force of friction performing upon the turned wheels of the car runs centripetal force obligatory for circular motion for the things inside it.