Wonders of Speed of Light

Further Wonders of Speed of Light

v_r = v₁ + v₂/(1 + v₁v₂/c²)

If we substitute v₁ = c,              v₂ = 2c in the above formula, see what happens

v_r = c +2c/(1+ 2c.c /c²)

v_r = 3c/(1+2)

v_r = 3c/3

v_r = c

If we substitute v₁ = c,              v₂ = c² in the above formula, see what happens

v_r = c + c²/(1+ c².c /c²)

v_r = c(1+c)/(1+c)

v_r = c

Removing The Mystery

v_r = v₁ + v₂/(1 + v₁v₂/c²)

If we substitute v₁ = c,              v₂ = v in the above formula

v_r = c + v/(1 + cv/c²)

v_r = c(1+ v/c) /(1 + v/c)

v_r = c

implies speed of light c is independent of the motion of the source or the observer