SOLUTION: A rocket is propelled upward from the top of a building 220 feet tall at an initial velocity of 72 feet per second. The function that describes the height of the rocket in terms of

Question 732968: A rocket is propelled upward from the top of a building 220 feet tall at an initial velocity of 72 feet per second. The function that describes the height of the rocket in terms of t is f(t)=-16t^2 + 72t +220. Determine both the time at which the rocket reaches its max height and the max height that the rocket reaches.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
The curve that the rocket follows is a parabola. The maximum
height is also called the vertex of the parabola. The formula for
the time component of the vertex is , when
the equation looks like
In this problem,

sec
Now plug this value back into the equation to find

It reaches a maximum height of 301 ft in 2.25 sec
Here's a plot:

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