The position of 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 : (i) 2s, (ii) 4s, (iii) What is the object's displacement between t = 0 s and t = 4 s ? and (iv) What is its average vvelocity for the time interval from t = 2 s to t = 4 ?

Answer

(a) 0; (b) -2 m ; (c) 0 m; (e) 12 m ; (f) 7 m/s