The position of an object moving along an x axis is given by x = 3t - 4t² + t³, where x is in meters and t in seconds. Find the position of the object at the following values of r: 

(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 = 2s to t = 4s?

(g) Graph x versus tfor 0 < t < 4s and indicate how the answer for (f) can be found on the graph.