Car Accelerates On Its Own problems of the 2011 Honda Accord

This is the Honda Accord 2011 ex (v6) model. When moving at very slow speeds, say around 2-4 mph, there sometimes is a flat spot, ie no acceleration when stepping on the accelerator pedal. , at this point there seems to be a 2 to 3 second hesitation before the care suddenly accelerates and lurches forward. Sometime, when this situation occurs, nothing happens when pressing the accelerator; then the accelerator must be completely released and pressed again, or pumped, to get moving and at some point power suddenly returns and the car lurches forward. This problem seems to occur most often when making a turn, and it is very dangerous when making a left turn as you are sitting almost motionless in the middle of the left lane and oncoming traffic is coming at you and usually moving along briskly. My vehicle, when in this predicament, has not yet been hit by an oncoming car, but there have been some close calls. I have owned this vehicle for 3 years, but live and drive mostly in the suburbs, and this problem occurred infrequently, so I never reported this problem. But lately I have been making daily trips to the city, and this problem occurs every day. It also occurs when waiting at a stop light and then when the light turns green and traffic starts to move, cars start to creep forward at a few mph until it is time to accelerate up to normal traveling speed. And when the creep is very slow, 2-4 mph, and then it is my turn to move out and I hit the gas, I occasionally get the situation as described above. And in this situation I am not making a turn but traveling in a straight line. This is a very dangerous problem!.