Velocity Vectors

[TomP]

Yes,

It is called classical mechanics or Newtonian Mechanics-which is the original theoretical treatise of motion (kinematics) and forces (dynamics). With respect to deformation of objects which is known as continuum mechanics.
Issue of the formula are translational motion, relative velocity and rectilinear motion.
Unfortunately, this forum does not lend itself well to the publishing of the actual formulae.

Instead, I forward you to:
Applied Mechanics Divsion of ASME
http://divisions.asme.org/amd/index.html

"Materials Selection in Design" by M.F. Ashby
"Mechanical Properties of Matter" by A.H. Cottrell
"Engineering Mechanics Vols 1 & 2" by Meriam and Kraige