RHIT MA113/Vector Functions

Vector Functions

Velocity

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

Tangent and Normal Vectors

The Tangent Vector is the unit vector tangent to the motion, $\overrightarrow{T}=\frac{\overrightarrow{v}}{\Vert \overrightarrow{v}\Vert }$. The Normal vector, similarly, is the unit vector normal to the motion, $\overrightarrow{N}=\frac{\frac{d\overrightarrow{T}}{dt}}{\Vert \frac{d\overrightarrow{T}}{dt}\Vert }$

Acceleration

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