The basic <Galilean transformations> include spacetime translations $\mathbf x'=\mathbf x-\mathbf a$, $t'=t-b$; spatial rotations $\mathbf x'=R\mathbf x$, $t'=t$; and boosts $\mathbf x'=\mathbf x-\mathbf vt$, $t'=t$, where $R$ is a <rotation matrix> and $\mathbf v$ is constant.

Solution

Past exam of the mathematics course of the University of Cambridge / 2018 / ia / Paper 4 / 3A / b / Solution

 Solution (source code)