The position of an object moving along an x axis is given by x = 3t - 4t^2 + t^3, where x is in

The position of an object moving along an x axis is given by x = 3t - 4t^2 + t^3, where x is in meters and t in seconds. Find the position of the object at the following values of t: (a) 1 s, (b) 2 s, (c) 3 s, and (d) 4 s. (e) What is the object’s displacement between t = 0 and t = 4 s? (f) What is its average velocity for the time interval from t = 2 s to t = 4 s? (g) Graph x versus t for 0 ≤ t ≤ 4 s and indicate how the answer for (f) can be found on the graph.

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