Question

The path of a ball kicked from the ground can be modeled by the equation y=−1/4(x−2)(x−22), where x and y are measured in feet. The x-axis represents the ground. How far does the ball land from where it is kicked? The ball lands feet from where it is kicked.

Answer 1

The ball land 20 feet away from where it is kicked.

Explanation:

The path of a ball kicked from the ground can be modeled by the equation:

`y=-(1)/(4)(x-2)(x-22)`

Where x represents the ground.

Substitute y= 0

So,
`0=-(1)/(4)(x-2)(x-22)`

`(x-2)(x-22)=0`

`x=2,22`

So, Distance covered by ball = 22-2=20

So, The ball land 20 feet away from where it is kicked.