Two ships travel near c toward each other. What is the speed of one ship relative to the other?
Suppose two ships, A and B, are a sufficient distance apart on a collision course with each other. Neither is travelling under power; Newton’s first is in control, and either ship can be considered an inertial frame. According to an external reference point, both ships are moving at 0.999c.
To an observer within ship A, what is the speed of B’s approach?
Employ the relativistic addition formula:
V(b/a) = (Va – Vb)/[1 – VaVb/c²],
where:
V(b/a) => velocity of particle B relative to particle A
V(b/a)= [0.99c – (-0.99c)]/[1 – (0.99c)(-0.99c)/ c²
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