You want a seat-of-the-pants understanding?
Mixing equimolar amounts of acetic Acid and sodium bicarb gives you sodium acetate and CO2 (after the H2CO2 comes apart). Sodium acetate is rather basic - strong base, weak acid - but the system is flooded with CO2, which is slightly acidic. (water saturated with C02 has a pH of about 3.
. So you've got a somewhat basic solution of sodium acetate that is flooded with C02, bringing the pH back towards 3.8. You can do all the math to figure out exactly what it should be, but that's what's happening. The pH will slowly rise as the CO2 slowly diffuses out of the solution, by the way.