In this problem, you will use your prior knowledge to derive one of the most important relationships in mechanics: the work-energy theorem. We will start with a special case: a particle of mass m moving in the x direction at constant acceleration a. During a certain interval of time, the particle accelerates from vi to vf, undergoing displacement s given by s=xf−xi.

Required:
a. Find the accerlation a of the particle
b. Find the force F acting on the particle
c. Find the net work W done on the particle by the external forces during the particle's motion.