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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) = -4.9t^2 + 253 t + 297`.

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?

The rocket peaks at   meters above sea-level.

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