A model rocket is fired vertically upward from rest. Its acceleration for the first three seconds is

(a) Find the velocity function

(b) Find the position function

(c) At what time (in seconds) does the rocket reach its maximum height, and what is that height (in feet)?

Time at which maximum height is reached =

Maximum height =

(d) At what time (in seconds) does the rocket land?

Landing time =

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