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When a missile is shot from one spaceship towards another, it leaves the first at 0.950$c$ and approaches the other at 0.750$c .$ What is the relative velocity of the two ships?

$v=-0.696 c$

Physics 103

Chapter 28

Special Relativity

Relativity

Cornell University

Rutgers, The State University of New Jersey

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University of Sheffield

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Well, they're led. A mystic velocity edition is given by you Is a cool too. We place you prime divided by one plus we, you prime divided by C square. And in this case, you prime is equal to 0.950 times the speed of light and the velocity off the lost you off, Miss I relative to the Second Observer, you is equal to 0.7 50 times the speed of light and the speed of light see equals 3.0 multiplied by tend to the power eight meter per second. All right, well, folding, uh, this equation for we we is equal to you. Prime minus you. Divided by you. Prime times You divided by C square minus one minus one. We is equal. Do you prime is zero point 95 Siegel times the speed of light minus u is 0.750 times the speed of light. See, divided by you. Prime times. You Well, uh, you prime is zero point mine 50 times. See multiplied by 0.757 times. See divided by C square minus one. And therefore we is equal to zero point 200 times the speed of light divided by um zero point 7125 minus one on DDE, We is a cool too. Zero point 200 times the speed of light divided by minus zero point two and 752875 and hence we physical too. Minus zero point 696 times the speed of light.

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