Question

A missile is launched along a path determined by the function below, where f(x) is the height of the missile in feet x seconds after the launch.

A plane is flying nearby at a height of 650 feet.
Is the plane in danger of being hit by the missile?
Why or why not?

f(x)=-2x^2+72x

Answer 1

The plane will be fine.

Explanation:

`f(x) =-2x^(2)+72x\\650=-2x^(2)+72x\\2x^(2)-72x+650=0\\`

There are no real solutions.