Answer:
144 feet
Step-by-step explanation:
Since this is a quadratic equation, we simply need to find the vertex in order to determine the maximum height!
To solve the equation, follow these steps!:
[tex]0 = 16t^2+96t\\\\\frac{-b}{2a} =x\\\\\frac{-96}{2(-16)}=3=x[/tex]
Now we insert x back into the equation...
[tex]= -16(3)^2+96(3)\\ = -16(9)+288\\ =-144+288\\=144[/tex]
