When an object falls through the air and encounters air resistance its overall speed will be than if it had not encountered air resistance?

LESS or SMALL

Explanation:

As we know that when object is dropped in air then the net force on the object is due to the attraction force of earth i.e. gravitational force (mg) and resistance force due to air.

So here we will say net force is given by

here acceleration is given as

now since acceleration is less than the acceleration due to gravity so here the speed of the object will be lesser than the speed when there is no resistance due to air on it.

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 .

this would be about 43%