1. The problem statement, all variables and given/known data Using cartesian coordinates, find the Hamiltonian for a projectile of mass m moving under uniform gravity. Obtain Hamiltonian's equation and identify any cyclic coordinates. 2. Relevant equations 3. The attempt at a solution I think I will just have trouble determining my coordinates for the position; my coordinates are x and y. I think I can finished the rest of the problem once I know my coordinates for the position would x=x = v t*cos (theta) , t=x/(v*cos(theta)) and y=v*t*sin(theta)-.5*g*t^2?