According to special relativity, the speed of light should be the same as seen by two observers moving at different relative velocities. In Newtonian physics, an observer (2) moving at a velocity v in the x-direction relative to an observer (1) labels the x-coordinate of an event by x₂ = x₁ − vt, where x₁ is the coordinate given by the first observer, and both observers use the same time coordinate. Show that with this change of coordinates, the velocity of light traveling in the x-direction is different for the two observers. If a stationary observer sees light passing by at 3×10⁸ m/s, and a second observer is in a rocket ship passing in the same direction at 108 m/s, at what speed would the second observer see the light wave moving if the Newtonian transformation were correct?