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Had a collision a couple of days back with a car hitting me from the rear. After that incident my car vibrates vigorously when I put my car in parking (Idle) or remove my legs of peddle when it is slowing down. I got my engine inspected the report says it is perfectly alright and nothing seems to come out of it. The mileage currently reads at 81,000 miles. Any help/advice would be appreciated.

 
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It seems your car is misfiring. Perhaps one of the plug leads is loose or is not delivering the current to the spark plug in question. I would also advise you to check the distributor for any current jumping across the wires. As a last resort, replace the plug wires with a set borrowed from a friend's car and see the results. If it works, then change your plug wires.The car being hit from the back and your clock reading 81,000 miles cannot be related to this symptom.