i) Chemistry is a sub-branch of physics in that sense that chemistry deals with the electromagnetic force. All atoms and molecules etc. are interacting due to this force, and every reaction in chemistry can in principle be formulated as interactions on electrodynamical basis. Chemistry has, however, developed more efficient methods to deal with many of these reactions. A chemical reaction is just electrons chaning configuration in energy-space.
This is from wikipedia:
"Chemistry (from Egyptian kēme (chem), meaning "earth"[1]) is the science concerned with the composition, structure, and properties of matter, as well as the changes it undergoes during chemical reactions.[2] Historically, modern chemistry evolved out of alchemy following the chemical revolution (1773). Chemistry is a physical science related to studies of various atoms, molecules, crystals and other aggregates of matter whether in isolation or combination, which incorporates the concepts of energy and entropy in relation to the spontaneity of chemical processes.
Disciplines within chemistry are traditionally grouped by the type of matter being studied or the kind of study. These include inorganic chemistry, the study of inorganic matter; organic chemistry, the study of organic matter; biochemistry, the study of substances found in biological organisms; physical chemistry, the energy related studies of chemical systems at macro, molecular and submolecular scales; analytical chemistry, the analysis of material samples to gain an understanding of their chemical composition and structure. Many more specialized disciplines have emerged in recent years, e.g. neurochemistry the chemical study of the nervous system (see subdisciplines)."
Measuring the mass of something, isn't mass a physical quantity?... ;-)
ii) Physics is not a sub-branch of math, math is the language of physics. Physics deal with the real world, physics is also an experimental science. Math is just constructing a coherent logical 'language' to describe and relate quantities.
So saying physics is a subbranch of math, is like saying that politics is just a subbranch of English..