Denote the velocity of the object in frame S by →v=d→r/dt, and the velocity of the object in frame S′ by \(\overrightarrow{\mathbf{v}}^{\p...Denote the velocity of the object in frame S by →v=d→r/dt, and the velocity of the object in frame S′ by →v′=d→r′/dt′. Since the derivative of the position is velocity, the velocities of the object in two different reference frames are related according to
