PLEASE HELP On top of a hill, a rocket is launched from a distance 80 feet above a lake. The rocket will fall into the lake after its engine burns out. The rocket's height, h, in feet above the surface of the lake, is given by the equation, h = -16t ∧2 + 64t + 80, where t is time in seconds. The maximum height of the rocket is feet.

144 ft

Step-by-step explanation:

h = -16t ^2 + 64t + 80,

We want to find the maximum height or the vertex

This occurs when at

t = -b/2a

t = -64/ (2(-16)

  = -64/-32 = 2

When t=2

h(2) = -16 (2)^2 +64(2) +80

     = -16*4+128 +80

     =-64 +128 +80

     =144

h(2) = 144

The maximum height is 144

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step-by-step explanation: