Reverberate comes Latin reverberatus, past participle of reverberare, from Latin reverberat- ‘struck again’, from the verb reverberare, from re- ‘back’ + verberare ‘to lash’ (from verbera (plural) ‘scourge’).

Various meanings of "reverberate": 
1.  of a loud noise) be repeated several times as an echo. 
"her deep booming laugh reverberated around the room" 
2.  (of a place) appear to vibrate or be disturbed because of a loud noise. 
"the hall reverberated with gaiety and laughter" 
3.  Archaic: return or re-echo (a sound). 
"oft did the cliffs reverberate the sound"  
4.  have continuing and serious effects. 
"the statements by the professor reverberated through the capitol"  

According to the Oxford English Dictionary, the verb "reverberate" was first used in English in the 15th century, the Middle English period, specifically around the year 1487, in a translation by John Skelton.   The adjective form "reverberate" first appeared in the late 1500s, with the OED citing Thomas Lodge's  writing from 1589 as the earliest example.