Battery Light comes on while driving, It seems to come on and then go off, but it comes on with accelleration. I have replaced the battery and cables. Don't know what to do? Help please

CHECK ALTERNATOR DRIVE BELT TENSION IF BELT LOOK LOOSE ADJUST DRIVE BELT TENSION.IF YOU HAVE AUTOMATIC BELT TENSIONER CHECK FOR FOR BROKEN BELT TENSIONER. IF DRIVE BELT LOOK OKAY.CHECK ALTERNATOR VOLTAGE OUT PUT AT BATTERY WHILE ENGINE IDLING.BATTERY VOLTAGE SHOULD BE 13.5 - 14.5 VOLTS. IF NOT ALTERNATOR FAULTY.FIRST CHECK ALTERNATOR FUSE AND CHECK ALTERNATOR POWER FEED WIRE AND VOLTAGE REGULATOR WIRES FOR DAMAGE OR LOOSE CONNECTIONS. FIRST TURN OFF RADIO BEFORE REMOVING NEGATIVE BATTERY CABLE TO KEEP FROM LOCKING OUT RADIO.

To me it sounds like altenator when you hit gas pulls more amperage from battery and your altenator is not keeping up take it to autozone its a free test takes 2 min and you will have ya answer but im betting on it when you do that will you please come back and rate me 4 stars for helping you and being right lol it helps me keep helping others like you thanks hun