Speed of Light Limit: Earth & Spaceships

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SUMMARY

The discussion centers on the relativistic effects of traveling at 90% the speed of light, specifically addressing the misconception that two observers moving at such speeds in opposite directions would have a relative speed of 180% the speed of light. Instead, due to the principles of special relativity and the velocity addition formula, the actual relative speed between the two observers is calculated to be approximately 0.9945c. Observers on Earth would perceive the distance between the two spaceships increasing at a rate of 1.8c, but this does not translate to their relative speed.

PREREQUISITES
  • Understanding of special relativity principles
  • Familiarity with the velocity addition formula
  • Basic knowledge of the speed of light as a cosmic speed limit
  • Concept of relativistic effects on time and distance
NEXT STEPS
  • Study the velocity addition formula in detail
  • Explore the implications of special relativity on time dilation
  • Research the concept of simultaneity in relativistic physics
  • Examine real-world applications of relativistic physics in modern technology
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Students of physics, educators teaching relativity, and anyone interested in the implications of high-speed travel on time and space.

lnsanity
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If Earth is here 0 and I go at 90% the speed of light in that direction <--in my spaceship and my friend is going a 90% the speed of light in that direction --> in is spaceship so it look like this. 90% <-- 0 --> 90% relative to people on Earth we each go at 90% the speed of light in oposite direction, how come relative to my friend I would not be going at 180% the speed of light ? and if so what would be my speed relative to my friend if not 180% ?

From the point of view people on Earth it certainly seem to me that they would see us distance each other at faster than light speed... !?
 
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From the Earth's point of view, the distance between you two is increasing at 1.8c. From your point of view, and from your friend's point of view, the distance between you two is increasing at only .9945c.

See: http://en.wikipedia.org/wiki/Velocity_addition_formula
 

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