1. The problem statement, all variables and given/known data To try and relate the three ways of calculating motion, let's say you have a particle of some mass, completely at rest, then is acted on by some force, where F equals a constant, C, times time. (C*t). I want to find the equations of motion using Lagrangrian, but also Newton and Hamilton 2. Relevant equations I know I need L= T - V T = 1/2mv^2, where v is x dot This needs to be altered for the Force equation I feel PE (V) is just mvx 3. The attempt at a solution Then if these T and V are correct, I need to solve the DE for Lagrange. That is easy once I know my L equation is correct. Next, Hamilton. How would this be done with Newton's equations of motion? Simple I'm sure. Thanks!