Came to a stop and all of a sudden the car started to hesitate and when we parked it blue grayish smoke started coming out of the back end.

Smoke - Joseph Auto Service

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Description of problem: You notice a grayish smoke coming from the exhaust when you start your ... However, if the smoke continues after the engine is warmed up, there is a problem. ... Do not look for the problem while the fire is still burning.
images for fire & smoke coming up the exhaust

It will have to be scran, To find out what codes come up, All so if it is puting out black smoke end hesttates, It should not be driven to far, It should be taken in to be check out As soon as (Possible) Before damage is done to the motor,

does the engine idle smoothly? is the service engine soon light on? the engine is running rich causing the blue smoke.it could be pcv valve but unlikely

somthing in the ignition is causing a weak spark--or fuel inject circuit is running to rich----------all causes improper burning---------get a computer diagnostic done

Hello white smoke is usually engine antifreeze,Blue smoke oil burning,Black smoke car running to rich on gas,gas is not burning properly.

White smoke + engine not fully working = head gasket failure. Replace it.

Hi There.

The question is where the oil is being thrown out.

When you park, is there an oil spot being left from a leak?

Is the smoke coming from beneath the vehicle (oil dripping on a hot surface) or from the tailpipe as exhaust?

The source of the oil leak needs to be located so the problem can be addressed

Best regards,
Mike

If it's the org. engine it will has over 200,000 miles on it.
It's normal to has the valve steam seal/oil seal on the head to leak oil into the cyclinder.
The smoke you see is the motor oil drop from the seals.
It land on the top of the cyclinders and it create black smoke at start up.

The inexpensive fix is to start using high mileage oil with seal conditioner.
This will help soften the rubber seals and help reduce internal oil leak.

The correct fix is to wait until it's time for a head gasket replacement and let the professional service the head.

Complete head service is the only method to stop this internal oil drip problem.

sounds like a faulty turbo charger. is there a lot of blue smoke from the exhaust when this happens?