this sounds like a missfire. check your spark plug cables make sure they are in place nice and thight.and the correct place (order).
ice in the fuel system
No
because itt needs to be work on
A sparkplug misfiring.
is the exhaust pipe pluged causing back pressure ?
There are a number of reasons why a car would idle find but sputter when you accelerate. It could need a new spark plugs. You may also have to replace the filters. It might also be an issue with the air flow.
There could be several reasons why a car would sputter and shut off. The car might be out of gas, dead battery, bad starter, alternator problems or other issues. It is best to have it checked out by a licensed mechanic.
If it STOPS after 3 miles. Then it sounds like its a fuel problem, and it will also cause your car to shake and sputter. Check fuel filter, fuel pump (listen for a winning sound from gas tank with KOEO). If you have an OBII, check for pending codes...Tom
A car could sputter in the rain if the car needs new seals. There could also be a spark plug or wire that needs to be replaced.
I should have said that the car seems to sputter at those speeds rather than shake so I don't think it's a tire problem which most people tend to think of.
The carb venturi are partially plugged with debris. I had exactly the same problem where the car would sputter and shake when the car warmed up and the idle kicked down. The service station I take my car to pulled the air cleaner off and vacuumed out the intake ports on the carb - it worked fine after that. :)
bad fuel bad spark plugs incorrect timing