An observer in inertial frame S measures the space and time coordinates of an event to be x=750 m, y=250 m, z=250 m, and ?=2.0 μs. What are the space coordinates (x′, y′, z′) of the event in the inertial frame S′, which is moving in the +x-direction at a speed of 0.01⁢c relative to S. Assume that the origins of S and S′ coincide at ?=?′=0 s.

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Proper Length

The theory of special relativity explains the connection between space and time to objects that move in a straight line at a constant speed. The objects move at the speed of light. When an object approaches light speed, its mass is endless and cannot move faster than light. The most crucial postulate of Einstein's special relativity is that the laws of nature do not change in each frame of reference.