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## Homework Statement

Train is moving along the x axis with speed v relative to platform, inside the train mosquito is flying with 3D speed v

_{0}.

1) Write mosquito s 4-speed components with respect to train coordinate system.

2) Using 4-vector component transformation write mosquito's 4-speed components with respect to platform,by transforming 4-vector speed components with respect to train.

## Homework Equations

## The Attempt at a Solution

1) This is quite easy,the speed components with respect to train coordinate system :

(icγ,v

_{0x}γ,v

_{0y}γ,v

_{0z}γ),where γ=1/[itex]\sqrt{1-v_0^2/c^2}[/itex]

2) Here I Think i could use Lorenc transformation,but i have to use 4-vector component transformation which i think cant be used in Lorenc transform.

Some help here,please ?

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