the maximum height is 180ft.
How to find the maximum height of the rocket?
The height of the equation is modeled by:
[tex]y = 60t - 5t^2[/tex]
Notice that this is a quadratic equation with a negative leading coefficient, which means that the maximum is at the vertex, then the maximum is at:
[tex]t = -60/(2*-5) = 6[/tex]
To get the maximum height, we need to evaluate the function in t = 6, we will get:
[tex]y = 60*6 - 5*6^2 = 180[/tex]
This means that the maximum height is 180ft.
If you want to learn more about quadratic equations:
https://brainly.com/question/1214333
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