Question

A football is kicked into the air. The height of the football can be modeled by the equation

h = -16x^2 + 16x, where h is the height reached by the ball after x seconds. When does the
ball touch the ground?

Answer 1

x = 0 and x = 1

Explanation:

Given that,

A football is kicked into the air. The height of the football can be modeled by the equation :

`h = -16x^2 + 16x`

Where

h is the height reached by the ball after x seconds

When it touches the ground, h = 0

So,

`-16x^2 + 16x=0\\\\16x(-x+1)=0\\\\x=0\ and\ x=1`

So, it will touch the ground at x = 0 and x = 1 seconds.