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3) Suppose the figure below shows the graph of the velocity function, v(t), of an object traveling along a straight line. Call s(t) the position

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3) Suppose the figure below shows the graph of the velocity function, v(t), of an object traveling along a straight line. Call s(t) the position function of the object (measured in meters) at time t (measured in minutes). Initially the point is at location s(0) = 2. v (t ) 3 5 6 8 a) (4 points) Find the position of the object at time t = 5. s (5) = b) (4 points) Evaluate the limit: lim v(t) - (3) What does this quantity tell us about the motion of the object? (Include t - 3 units.) VALUE c) (4 points) Find the average value of the velocity function, v, on the interval [0, 9]. (Include units.) d) (4 points) On which interval(s) is the graph of the position function s is both decreasing and concave up. Explain

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