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Physics, 08.11.2019 19:31 kkwolfcityouwc96

Amodel rocket is fired vertically upward from rest. its acceleration for the first three seconds is a(t) = 60t at which time the fuel is exhausted and it becomes a freely "falling" body. fourteen seconds later, the rocket's parachute opens, and the (downward) velocity slows linearly to -18 ft/s in 5 s. the rocket then "floats" to the ground at that rate.
at what time does the rocket reach its maximum height?
what is that height?
at what time does the rocket land?

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