### Problem 1.14

#### Task:

A train of length \( l = 350 \) m starts moving rectilinearly with constant acceleration \( \omega = 3.0 \cdot 10^{-2} \) m/s\( ^2 \); \( t = 30 \) s after the start the locomotive headlight is switched on (event \( 1 \)), and \( \tau = 60 \) s after that event the tail signal light is switched on (event \( 2 \)). Find the distance between these events in the reference frames fixed to the train and to the Earth. How and at what constant velocity \( v \) relative to the Earth must a certain reference frame \( K \) move for the two events to occur in it at the same point?