Light Perception: Exploring Einstein's Velocity Addition Formula

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Two spaceships traveling at 90% the speed of light relative to a third observer perceive each other as approaching at slightly less than 99.5% the speed of light, in accordance with Einstein's velocity addition formula. This phenomenon occurs because no observer can perceive an object approaching at or exceeding the speed of light. When considering a scenario where the ships are directly approaching each other, the light from one ship will reach the other before a collision occurs, allowing the crew to see the other ship just before impact. The discussion highlights the implications of relativity on perception and the nature of light speed. Understanding these concepts is essential for grasping the fundamentals of modern physics.
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Two spaceships approaching each other, each traveling at 90% the speed of light relative to some third observer between them, do not perceive each other as approaching at 90 + 90 = 180% the speed of light; instead they each perceive the other as approaching at slightly less than 99.5% the speed of light.

Now, I got this from a very reliable source, an encyclopedia to be precise, so I know it's correct and goes according to the Einstein velocity addition formula. My question is, why?

Question 1: Is it because a person can never "perceive" something coming at them faster than the speed of light?

Question 2: Assuming there are people in these theoretical ships, looking at each other, and the ships are traveling directly at each other...Would the two ships crash before a person in one of the ships 'sees' the other ship hitting it (say, 1 cm away)?

Sorry if these questions are unclear, I don't have a big vocabulary of physics terms.
 
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Originally posted by Decker
Question 1: Is it because a person can never "perceive" something coming at them faster than the speed of light?
It's not a trick of perception, if that's what you mean. According to relativity, the speed of a massive object as measured in an inertial frame cannot equal (or exceed) the speed of light.
Question 2: Assuming there are people in these theoretical ships, looking at each other, and the ships are traveling directly at each other...Would the two ships crash before a person in one of the ships 'sees' the other ship hitting it (say, 1 cm away)?
Why? Since the light from the approaching ship travels faster than the ship itself, it will reach the other ship before the crash.
 
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