anon_ch posted a question
Substitute for F from Part B in the expression for work from Part C. Then substitute for a from the relation in Part A. This will yield an expression for the net work W done on the particle by the external forces during the particle's motion in terms of mass and the initial and final velocities. Give an expression for the work W in terms of those quantities.
Express your answer in terms of m, v_initial, and v_final.