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Vector Motion:
Position=r(t)=[x(t),y(t)]
For Example: [=cos(t),sin(t)]
Velocity=[x'(t),v'(t)]
For Example: [=-sin(t),cos(t)]
Acceleration=[x''(t),y''(t)]
For Example: [=-cos(t),sin(t)]
Note: Following this pattern will produce a unit circle.
Speed=|v|=sqrt(x'(t)^2+y'(t)^2)
Let  denote the position of a particle at some time t; then the velocity, speed and acceleration of the particle at the time t are defined by
The acceleration vector  may be decomposed into its tangential and normal components as:
where
is the tangential component of the acceleration and
the normal component.
This applet will graph examples of basic Parametric Functions.
Here is another interesting animation for Parametric Equations.
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