An object is launched from a launching pad 208 ft. above the ground at a velocity of 192ft/sec. what is the maximum height reached by the rocket?

The maximum height is 784 feet

Step-by-step explanation:

In this problem we use the kinematic equation of the height h of an object as a function of time

Where is the initial velocity and is the initial height.

We know that

Then the equation of the height is:

For a quadratic function of the form

where

the maximum height of the function is at its vertex.

The vertice is

In this case

Then the vertice is:

Now we calculate h (6)

The maximum height is 784 feet