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## Homework Statement

A spaceship moves away from a point at speed v and launches a smaller ship at speed v relative to the first ship. The second ship shoots a missile at speed v relative to the second ship

1. what is the speed of the second ship relative to Earth

2. what is the speed of the missile relative to Earth

## Homework Equations

## The Attempt at a Solution

I assume that in order to get the speed of the first ship relative to Earth i just use the velocity transform u=(u'+v)/(1+[vu'/c^2]), which gives u= (v+v)/(1+[v^v/c^2]) or u= 2v/(1+[v^2/c^2])

Is this correct?

If so, to find the speed of the missile relative to earth would i again use the same equation using the 2v/(1+[v^2/c^2]) as u'? Would this give the answer to part 2?

Im confused.

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