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So, the velocity of light will always come out to be the same.
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That is built into the formula but it is a good thing to test.
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So, what you find is, velocities don't add in the simple way.
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If they did, you are in trouble.
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You cannot get an upper limit if they added in the simple way
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because you can put a rocket inside another rocket
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inside another rocket and add up all the speeds
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and even though each one is less than 0,
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the total could be whatever you like.
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But they don't add that way.
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They add this way so that the answer is either bigger
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than what you think if v and u are opposite,