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Classical mechanics discusses the behaviour of macroscopic bodies under the influence of forces (without necessarily specifying the origin of these forces). If it's possible, USE MORE SPECIFIC TAGS like [newtonian-mechanics], [lagrangian-formalism], and [hamiltonian-formalism].

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How simultaneous information of coordinates and velocities sufficient to completely determin...

As other people have pointed out, strictly speaking, you need to know the forces and masses as well as the positions and velocities. You need the masses because Newton's second law for a particle is …
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