A particle of mass 0.50kg moves along the positive x-axis under the influence of a position-dependent force F(x)=3x2N, where x is in metres. The particle is released from rest at the origin.
a. (i) Calculate the work done on the particle as it moves from x=0 to x=2.0m.
b. (ii) Determine the speed of the particle at x=2.0m.