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:
Velocity vectors must be collinear.
Space and time are absolute.
Applicable to inertial reference frames.
Links:
- body_speed_in_first_frame¶
speedof the body in frame \(A\).- Symbol:
v_OA- Latex:
\(v_{OA}\)
- Dimension:
velocity
- body_speed_in_second_frame¶
speedof the body in frame \(B\).- Symbol:
v_OB- Latex:
\(v_{OB}\)
- Dimension:
velocity
- second_frame_speed_in_first_frame¶
speedof frame \(B\) relative to frame \(A\).- Symbol:
v_BA- Latex:
\(v_{BA}\)
- Dimension:
velocity
- law¶
v_OA = v_OB + v_BA- Latex:
- \[v_{OA} = v_{OB} + v_{BA}\]