Classical addition of velocities

The law of classical addition of velocities, usually attributed to Galileo and called the Galilean law of velocity addition, states that the velocity of a body in an inertial reference frame $A$ can be found as a sum of its velocity in another inertial reference frame $B$ and the velocity of frame $B$ relative to frame $A$.

Conditions:

1. Velocity vectors must be collinear.

2. Space and time are absolute.

3. Applicable to inertial reference frames.

Links:

1. Wikipedia, vector counterpart of this law.

body_speed_in_first_frame

speed of the body in frame $A$.

Symbol:

v_OA

Latex:

$v_{OA}$

Dimension:

velocity

body_speed_in_second_frame

speed of the body in frame $B$.

Symbol:

v_OB

Latex:

$v_{OB}$

Dimension:

velocity

second_frame_speed_in_first_frame

speed of frame $B$ relative to frame $A$.

Symbol:

v_BA

Latex:

$v_{BA}$

Dimension:

velocity

law

v_OA = v_OB + v_BA

Latex:

$$v_{OA}=v_{OB}+v_{BA}$$