There is a lot to this assignment...
In order to earn full points, you will need to:
This is an equation for a parbolic path that the rocket follows.
It is a parabola opened downward due to the ' - ' sign in front of the x^2 term.
The MAXIMUM of this quadratic is given by -b/2a = -12/2(-3) = -12/-6 = 2 seconds.
If we use this value of 't' in the height equation, we will find the maximum height the rocket reaches.
-3(2^2) + 12(2) + 60 = max height = 72 feet
Here is a graph:
This is an equation for a parbolic path that the rocket follows.
It is a parabola opened downward due to the ' - ' sign in front of the x^2 term.
The MAXIMUM of this quadratic is given by -b/2a = -12/2(-3) = -12/-6 = 2 seconds.
If we use this value of 't' in the height equation, we will find the maximum height the rocket reaches.
-3(2^2) + 12(2) + 60 = max height = 72 feet
Here is a graph: