NHTSA Complaint #10776525 — 2011 TOYOTA COROLLA

I DRIVE QUITE A BIT AND NORMALLY KNOW MY VEHICLES PRETTY GOOD. I HAVE RECENTLY OBTAINED THIS 2011 TOYOTA COROLLA S AND IT IS IN GREAT CONDITION OVERALL. I MADE A TRIP 2 DAYS AFTER GETTING THE VEHICLE AND IMMEDIATELY NOTICED A HESITATION BETWEEN 55-65 MPH. THE FIRST TIME IT WAS APPROXIMATELY 11AM IN THE MORNING AT 78F. DRIVING ON A FLAT WELL MAINTAINED BLACK TOP ROAD THE VEHICLE DOES IN FACT HAVE A CONSTANT HESITATION THAT DROPS APPROXIMATELY 1000-2000 RPMS WITH A NOTICEABLE FEEL IN THE VEHICLE. IMMEDIATELY (3-4 SEC) AFTER THE HESITATION THE VEHICLE RECOVERS BACK TO THE ORIGINAL RPM. AS LONG AS STAYING IN THIS SPEED RANGE (55-65 MPH) THE VEHICLE HAS THE HESITATION REPEATEDLY. THE SECOND ISSUE THAT I HAVE NOTICED ON THE SAME VEHICLE IS THE ACTUAL DECELERATION WHEN REMOVING MY FOOT FROM ACCELERATOR. WHEN TRAVELING ON THE SAME ROAD AND TIME AS STATED ABOVE THE VEHICLE SEEMS TO REALLY COAST RIGHT ALONG OR SO IT SEEMS. WHEN SAYING THIS, I REMOVED MY FOOT FROM ACCELERATOR AND THE VEHICLE ROLLS RIGHT ALONG AS IF I AM STILL PUSHING THE ACCELERATOR AT WHICH TIME I MUST APPLY THE BRAKE MORE SIGNIFICANTLY THAN LETTING IT JUST COAST. I WOULD LIKE TO KNOW HOW THIS IS EFFECTING MY GAS MILEAGE, IS IT GOING TO CAUSE UNDUE STRAIN ON THE DRIVETRAIN, IS THIS GOING TO BE A PROBLEMATIC ISSUE THAT TOYOTA IS GOING TO CONTINUE TO IGNORE?