A model rocket is fired vertically upward from rest. Itsacceleration for the first three seconds is given by a(t) = 60tft/s2 , at which time the fuel is exhausted and it becomes a freely“falling†body and falls to the ground.
(a) Determine the position function s(t) for all times t >0.
(b) What is the maximum height achieved by the rocket? (
c) At what value of t does the rocket land?
