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

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Basic Math

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?

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