What is the relative speed of the pursuit ship and the Trade Federation cruiser?

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SUMMARY

The discussion centers on calculating the relative speed of a pursuit spacecraft from Tatooine and a Trade Federation cruiser. The cruiser travels at 0.6c, while the pursuit ship moves at 0.8c, both in the same direction. To find the speed of the pursuit ship relative to the cruiser, the equation \( u = \frac{v - s}{1 - \frac{vs}{c^2}} \) is utilized, where \( s \) is the cruiser's speed, \( v \) is the pursuit ship's speed, and \( u \) is the relative speed. This calculation confirms that the pursuit ship is indeed faster than the cruiser when viewed from Tatooine.

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alexmahone
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A pursuit spacecraft from the planet Tatooine is attempting to catch up with a Trade Federation cruiser. As measured by an observer on Tatooine, the cruiser is traveling away from the planet with a speed of 0.6c. The pursuit ship is traveling at a speed of 0.8c relative to Tatooine, in the same direction as the cruiser. What is the speed of the pursuit ship relative to the cruiser?
 
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I think you need this equation. In your case, $s$ is the velocity of the cruiser, you can make $v$ the velocity of the pursuit ship, and $u$ is the motion of the pursuit ship relative to the cruiser. Solve for $u$. Does that work for you?
 

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