2005 Toyota Corolla jerking

Problems that only occur after 4 hours driving would be very difficult to diagnose. I would take it to a garage that has a professional grade scan tool and ask if they can access the historical data to check for the cause. Otherwise you just wait until it becomes a regular occurrence or the Engine Malfunction Light comes on.

try changing the rota arm

You need spark plugs weirs,all the best.

You mean Jerking ?
Why is my Car Jerking 7 steps OneHowto

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Questions Answers for Toyota Corolla jerks while driving

check out the spark plugs and make sure no water is in the gas

Your car probably has the same problem as the 1995 corolla that I had before.
I don't know if jerking is same as vibrating but I brought my car to the shop and the mechanic said that it was caused by the wiggling of the harmonic balancer. He changed it but the problem wasn't solve. It wasn't diagnosed correctly so I asked for a second opinion and a friend of mine who is a mechanic found out what was wrong with the car. The bearings of the left front drive axle were completely worned that's why it don't spin evenly that causes the jerking or vibration when you accelerate
He replaced it and the problem was gone.

run fault codes and fix faulty sensors.

it maybe ECU malfunction bring your car to a mechanic for checking fault code

could be lots of things
in order from most obvious to least
1.) general maintenance, like spark plugs/wires and fuel filter
2.) failing fuel pump
3.) failing sensors like MAF or TP

bottom line if you have maintained your vehicle do that first
while buying parts have the store pull codes and see what else could be wrong

any further assistance should be directed to the chat room for LIVE questions/answers

Explain the jerking sensation. Is it under acceleratio or at a idle?