A spaceship is moving in a vertical line. Its velocity at time (t) is given by v(t)=3(t)^2 +2(t)   (a) How far has the spaceship progressed over time (t) interval [0,3]? (b) Let y(t) denote the position of the spaceship at time t. Find y(t) if y(0) = 1/10 . (c) What is the average height of the spaceship over the interval between t = 1 and t = 3 hours

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