Question

Find the time it takes for a rocket following the path h(x)= -2x^2+ 18 to hit the ground

Answer 1

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

$h(x)=-2x^2+18$

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

$h(x)=-2x^2+18=0$

Subtract both sides by 18

$-2x^2+18-18=0-18$

$-2x^2=-18$

$x^2=9$

$x=3$

So,

the time it takes for a rocket  to hit the ground is 3 seconds