Problem: A single force acts on a particle-like object of mass m kg in such a way that the position of the object as a function of time is given by x = 3t - 4t2 + t3, with x in meters and t in seconds.
Part A: Find the work done on the object by the force between t = 0 and time t.
I need help to solve the above problem and express your answer in terms of the variables given.