# Classical Mechanics: Newtonian, Lagrangian, and Hamiltonian

In classical mechanics, there are three common approaches to solving problems. I’m going to solve the same situation three different ways. It’s going to be fun. Trust me.

Here is the problem. A ball is at ground level and tossed straight up with an initial velocity. The only force on the ball while it is in the air is the gravitational force. Oh, the ball has a…