Einstein Velocity Addition for Relative Speed Calculation

[Quarlep]

Lets suppose we used Einstein Velocity Addition equation and we found a result this is the same for every observer isn't it ?

 

[Nugatory]

I'm having some trouble understanding your question. What exactly do you expect to be the same for all observers?

 

[Quarlep]

An observer O observer o observes two objects letc call them a and b ad their speed a 0.5c and b 0 c so relative velocity is 0.5c İts for observer a than let's suppose there's another observer I am asking this another observer et call z will calculate relaitve speed 0.5 isn't it ? (Relative speed between A and B)

 

[HallsofIvy]

Yes. If observers x and y both observe objects A and B, determine the speeds of A and B relative to themselves, then calculate the speed of A relative to B, they will get the same answer.

 

[Nugatory]

An observer O observer o observes two objects letc call them a and b ad their speed a 0.5c and b 0 c so relative velocity is 0.5c İts for observer a than let's suppose there's another observer I am asking this another observer et call z will calculate relaitve speed 0.5 isn't it ? (Relative speed between A and B)

If A is moving at .5c relative to B, then A will be moving at .5c relative to all observers at rest relative to B.

If B is moving at some non-zero speed q relative to some third observer Z, then A's speed relative to Z will not be q+.5c and Z's measurement of the difference between the speed of A and B will not be .5c.

 

[jtbell]

An observer O observer o observes two objects letc call them a and b ad their speed a 0.5c and b 0 c so relative velocity is 0.5c İts for observer a than let's suppose there's another observer I am asking this another observer et call z will calculate relaitve speed 0.5 isn't it ? (Relative speed between A and B)

Have you tried calculating it yourself? Suppose observer z is traveling at velocity 0.25c relative to observer o. Let v_a' and v_b' be the velocities of a and b relative to z.

(a) What do you get for v_a' and v_b' ?

(b) What do you get for the relative velocity v_ab' = (v_a' - v_b') / (1 - v_a'v_b'/c²) ?