Light Perception: Exploring Einstein's Velocity Addition Formula

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SUMMARY

The discussion centers on Einstein's velocity addition formula, illustrating that two spaceships traveling at 90% the speed of light do not perceive each other as approaching at 180% the speed of light, but rather at approximately 99.5%. This phenomenon is rooted in the principles of relativity, which dictate that no massive object can reach or exceed the speed of light in any inertial frame. Additionally, it is established that light from an approaching ship will reach the other ship before a collision occurs, allowing for visual perception of the impending crash.

PREREQUISITES
  • Understanding of Einstein's theory of relativity
  • Familiarity with the concept of inertial frames
  • Basic knowledge of the speed of light as a universal constant
  • Awareness of the implications of relativistic speeds on perception
NEXT STEPS
  • Study the implications of Einstein's velocity addition formula in detail
  • Explore the concept of inertial frames in special relativity
  • Learn about the effects of relativistic speeds on time dilation and length contraction
  • Investigate the relationship between light speed and perception in high-velocity scenarios
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Physicists, students of relativity, and anyone interested in the effects of high-speed travel on perception and collision dynamics.

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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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