Why does the Honda City 2005 model give Jerk and off while accelerating the car give jerk till the speed of 80kmh when you push more accelerator but if you push accelerator slowly it runs without jerk?

With a fuel pump problem, the car may seem to shudder or make jerking movements while accelerating. This is commonly misdiagnosed as a dirty fuel filter or "bad" gas in the tank. What's really happening is that the fuel pump is wearing out and at high speeds is unable to provide steady fuel pressure to the engine, causing it to misfire.