A new particle, the aarnion, has just been discovered! Careful measurements show that the aarnion has an average lifetime (at rest) of 87 ns. In one experiment, an aarnion traveled 24 m (as viewed from the lab frame) before it decayed. Determine the Proper Velocity (w), and Velocity (v) of the aarnion. Assume it had an average lifetime in its own frame.

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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.