# How is gravity a quadratic function?

##### 1 Answer

Refer to explanation.

#### Explanation:

We can apply quadratic functions to objects that are in motion under gravity. For this explanation, we take a look at one of the equations of motion from physics that itself is a quadratic function and we set the acceleration of an object as being influenced by gravity.

Recall that a quadratic equation looks like the following:

If we were to recall one of equations of motion from physics, such as the equation:

where,

and if we consider our acceleration,

rearranging this equation gives

and making the change in the position of

the

the

as being equal to

the

So, if we look at them together: