Hello Everyone

I bought a brand new Honda City 2011 MT a few weeks back. I am facing some issues with the acceleration of the car. Usually in the second and third gear there is a delay in vehicle acceleration pick ... For example, when I switch to second gear i press the accelerator a little further, but there is no visible change or feel for about 4-5 seconds and then suddenly the car starts to pick up speed without me pushing the accelerator more .. .! I dont know why this response time is so slow ... the problem is more prominent when I have the AC on!
I hope it's not something big ...

Plus .. i generally drive the car slowly under 80 km, because I havent reached 1000 km ... but maybe 4-5 times I did put a lot of power in 2nd gear and made it go up to 50 in second gear! Is this a cause of the above problem .. many people say to drive safely at low speed not exceeding 80, while some say it is not a requirement ..

Your help is greatly appreciated!