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NASA launches a rocket at t = 0 seconds. Its height, in meters above sea-level, as a function of time is given by h(t) =

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NASA launches a rocket at t = 0 seconds. Its height, in meters above sea-level, as a function of time is given by h(t) = -4.9t² +241t+ 178. Assuming that the rocket will splash down into the ocean, at what time does splashdown occur? The rocket splashes down after seconds. How high above sea-level does the rocket get at its peak?

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