A certain quasar recedes from Earth at 0.55 c. A jet of material ejected from the quasar toward the Earth moves at 0.13 c relative to the quasar. How do you find the speed of the ejected material relative to Earth?
The inverse transforms are :
We can choose the orientation of the coordinate systems such that the X axes are parallel to the velocity of the quasar jet. This would simplify the problem by rendering the Y and Z components of the velocity vector zero.
Using the inverse transform,