A model rocket is fired vertically upward from rest. Its acceleration for the first
Chapter 4, Problem 78(choose chapter or problem)
A model rocket is fired vertically upward from rest. Its acceleration for the first three seconds is , at which time the fuel is exhausted and it becomes a freely falling body. Fourteen seconds later, the rockets parachute opens, and the (downward) velocity slows linearly to fts in 5 s. The rocket then floats to the ground at that rate. (a) Determine the position function and the velocity function (for all times ). Sketch the graphs of and . (b) At what time does the rocket reach its maximum height, and what is that height? (c) At what time does the rocket land?
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