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Nikolay [14]
3 years ago
11

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 how many feet.
Mathematics
1 answer:
Savatey [412]3 years ago
4 0
H'(x)=-32t+64, the only zero of that is 2, and it goes from positive to negative, so the maximum height will be at time 2. Plug in 2 to the original equation and that gives you 144. The max height is 144 feet.
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