A particle of mass 0.5kg starts from rest at the origin and moves along the positive x-axis under a horizontal force given by F(x)=12xN, where x is in metres. The motion is along the line of the force. When the particle reaches x=4m, answer the following.
a. (a) Calculate the speed of the particle at x=4m.
b. (b) Determine the time taken to travel from x=0 to x=4m.
c. (c) Hence find the average power delivered by the force during this motion.