What does travel in space have to do with radicals Imagine that in the future we will be
Chapter 7, Problem 86(choose chapter or problem)
What does travel in space have to do with radicals? Imagine that in the future we will be able to travel in starships at velocities approaching the speed of light (approximately 186,000 miles per second). According to Einsteins theory of relativity, time would pass more quickly on Earth than it would in the moving starship. The radical expression Rf 2c 2 - v2 2c 2 gives the aging rate of an astronaut relative to the aging rate of a friend, Rf, on Earth. In the expression, v is the astronauts velocity and c is the speed of light. a. Use the quotient rule and simplify the expression that shows your aging rate relative to a friend on Earth. Working in a step-by-step manner, express your aging rate as Rf B1 - a v c b 2 . b. You are moving at velocities approaching the speed of light. Substitute c, the speed of light, for v in the simplified expression from part (a). Simplifycompletely. Close to the speed of light, what is youraging rate relative to a friend on Earth? What does thismean?
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