Several things could be causing this problem. The timing could be off, or several sensors could be causing the problem. If possible check the computer codes. If not, then start with a possible clogged egr valve, then the crankshaft sensor.
it would go slower and it might jerk
A motorcycle jerk or backfire can come from the choke not shutting off completely, the fuel jets might be clogged, a gasket or seal may be broken. Valves that are out of adjustment could also be the problem.
A car can backfire and die if the spark plugs are bad. The car could also have a problem with the timing or the catalytic converter .
The AC compressor puts quite a load on the engine, especially one with less cylinders. It puts a load on the engine, causing it to jerk back and forth.
Slowing down
it doesn't or it shouldent'
catalytic converter?
If by "popping noise" you mean backfire, it could be crossed ignition wires, or some sort of misfire.
a small evap leak would not cause your car to jerk.
No! A car backfires because unburned fuel is getting to the muffler. The heat of the exhause system causes the fuel to combust, thus a backfire. A bad alternator will just not charge your car battery.
Could be in need of a tune-up.
A sparkplug misfiring.