Question: A train of length $l=350 metres$ starts moving rectilinearly with the constant acceleration $a=3×10^-² ms^-²$; $t=30s$ after the start the locomotive headlight is switched on $(event 1)$, and $t=60s$ after that event the tail signal light is switched on $(event 2)$. How and 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$?$
Is this even possible? I could not think how to start. I thought of relativistic mechanics but I am unsure if it will help either. I thought of replacing $K$ frame with aeroplane to visualise better. Please help and thanks in advance$!$ Answer is 'towards train with velocity $V=4 ms^-¹$'.