Answer:
The time it takes for a rocket to hit the ground is 3 seconds
Step-by-step explanation:
We are given equation for height as
[tex]h(x)=-2x^2+18[/tex]
where
x is the time in seconds
When object hits the ground
then height becomes 0
so, we can set h(x)=0
and then we can solve for x
[tex]h(x)=-2x^2+18=0[/tex]
Subtract both sides by 18
[tex]-2x^2+18-18=0-18[/tex]
[tex]-2x^2=-18[/tex]
[tex]x^2=9[/tex]
[tex]x=3[/tex]
So,
the time it takes for a rocket to hit the ground is 3 seconds
