Two rockets are approaching each other on a collision course. Relative to a stationary observer on the ground, rocket 1 has speed 9/10 c, and rocket 2 has speed 8/10 c. The stationary observer measures both rockets to have the same length L. According to the stationary observer, the rockets collide after a time t. (a) What are the proper lengths of the rockets? (b) According to one of the rockets, what is the speed of the other rocket? (c) According to rocket 1, how much time elapses before the crash occurs? According to rocket 2?

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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.