Answer:
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