Velocity relative to reference frame

For any reference frame, whether it is inertial or not, the motion relative to it can be described using the position vector relative to that frame’s origin.

Links:

1. Wikipedia.

2. Wikipedia (ru).

time

time.

Symbol:

t

Latex:

$t$

Dimension:

time

relative_velocity

Vector of the body’s speed relative to $S$ as a function of time.

Symbol:

v(t)

Latex:

$\overrightarrow{v}\left(t\right)$

Dimension:

velocity

position_vector

Vector of the body’s position relative to $S$ as a function of time.

Symbol:

r(t)

Latex:

$\overrightarrow{r}\left(t\right)$

Dimension:

length

law

v(t) = Derivative(r(t), t)

Latex:

$$\overrightarrow{v}\left(t\right)=\frac{d}{dt}\overrightarrow{r}\left(t\right)$$