Test your Kinematics!
A train of length 350 m starts moving rectilinearly with constant acceleration 0.03 SI Units. After 30 seconds of the start the locomotive headlight is switched on (event 1) and after 60 seconds of event 1, the tail signal light is switched on (event 2). Find how and at what constant velocity, relative to Earth, must a certain reference frame move for the two events to occur in it at the same point?
(The question is taken from 'Problems in General Physics', by I.E. Irodov.)