A particle can acclerate in 2 ways,
either a change in direction or a change in
speed.
The purpose of
this discussion is to formulate velocity and acceleration of a
particle at a point in terms of vectors tangent and perpendicular to
the trajectory at this point.
It is broken
into 4 parts:
1. A
discussion of the unit tangent and unit normal
vectors
2. Arclength
parameterization
3.
Curvature
4.
Formulating the acceleration in components aT and
aN - the tangential anf normal
components .