How to show that show that v + u 1 + u v / c 2 = c when u = c?Context It's needed for a physics proof that I'm working on. This is the formula for relative velocity, u represents the velocity of the observer, v represents the velocity of a projectile and c represents the speed of light.Einstein said that this is right, so I'm sure that it is I'm just not sure how it simplifies.

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How to show that show that             v      +      u              1      +      u      v              /                    c        2              =  c  when   u  =  c?Context It&#039;s needed for a physics proof that I&#039;m working on. This is the formula for relative velocity, u represents the velocity of the observer, v represents the velocity of a projectile and c represents the speed of light.Einstein said that this is right, so I&#039;m sure that it is I&#039;m just not sure how it simplifies.

Charlie Powers · Accepted Answer

If you mean            u      +      v              1      +                        u          v                          c          2                    as noted in the comments. Then let   u  =  c and we get                                          u            +            v                                1            +                                          u                v                                            c                2                                                                        =                              c            +            v                                1            +                                                            c                                v                                            c                                  2                                                                                                      =                              c            +            v                                1            +                          v              c                                                                        =                              c            +            v                                1            +                          v              c                                                c          c                                                  =                              c                          (              c              +              v              )                                            c            +            v                                                            =        c        .

Marco Villanueva · Accepted Answer

Lets plut in   u  =  c  u  +      v          1      +                        u          v                          u          2                      =  u    ⟺    0  =      v          1      +              v        u              =      v                  u        +        v            u          ⟺    0  =            u      v              u      +      v          ⟺    u  =  0 or   v  =  0  so that is what you can do algebraically, but from the point of view of physics you should tell us what all those variables stand for.

How to show that show that v + u </mrow> 1 + u

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