Patrols rushed to the scene and pursued the driver before using a stinger and then making 'deliberate tactical contact' to force him to a stop.
The driver of both the Aygo and the police vehicle which made contact were unhurt, but the Aygo driver, an elderly man, was taken to hospital as a precaution.
A police spokesman said: "It is believed the Aygo driver may have become disorientated and joined the motorway the wrong way.
"The motorway was closed northbound for a number of hours while the scene was dealt with.
"Many of you may have been caught up in the traffic delays caused by the closure of the M6 overnight and we wanted to give you some detail about why it was shut.
"The road is re-open now but traffic is still heavy."
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