about relativistic addition of velocitiesfirst, want to state that, no object can travel faster than the speed of light in ANY reference frame.
second,I think in your case, A is travelling in the speed of 0.9C while B is at 0.9C but opposite direction. Well, A in the reference frame of B, its velocity is NOT 0.95C. You can disprove this from
u=(v+u')/(1+vu'/c^2).
My result from calculation is 0.994C.
third, the relative velocity is the velocity of A with respect to B. There is no point to say, the relative velocity of A and B in the frame M, is 1.8C.
Waiting for your enlightenment.
0.99c的问题你是对的
我只是记着好像是0.95,没有自己算。
但是在参照系M中的观测者X,一定会看到A和B的相对速度是1.8c,道理很简单。因为对于X,A在1秒内移动了2.7e8米,B同样移动了2.7e8米,这样A和B的相对位移是5.4e8米,于是相对速度就是1.8c。(注意这里的单位都是对于X而言的,而不是A或者B)
但是在参照系M中的观测者X,一定会看到A和B的相对速度是1.8c,道理很简单。因为对于X,A在1秒内移动了2.7e8米,B同样移动了2.7e8米,这样A和B的相对位移是5.4e8米,于是相对速度就是1.8c。(注意这里的单位都是对于X而言的,而不是A或者B)
Yeah!