Question

Using Galilean transformations describe the motion of a falling stone in a moving train relative to a stationary observer on the ground and draw a sketch showing the motion

Answer 1

Galileo transformation:
\(x'=x-vt\)
\(y'=y\)
\(z'=z\)
\(t'=t\)

Answer 2

\[\large v\space'=dx'/dt'={d(x\space')\over d(t\space')}={d(x-vt)\over d(t)}={dx-vdt\over dt}\]