RHIT MA113/Vector Functions

=Vector Functions=

Velocity
Velocity is equal to the derivative of position with respects to time, $$\vec{v} = \frac{d}{dt}\,\vec{r}$$

Tangent and Normal Vectors
The Tangent Vector is the unit vector tangent to the motion, $$\vec{T} = \frac{\vec{v}}{\left\Vert\vec{v}\right\|}$$. The Normal vector, similarly, is the unit vector normal to the motion, $$\vec{N} = \frac{\frac{d\vec{T}}{dt}}{\left\Vert\frac{d\vec{T}}{dt}\right\|}$$

Acceleration
Acceleration is equal to the derivative of velocity with respects to time, $$\vec{a} = \frac{d}{dt}\,\vec{v}$$