The incident occurred on Tuesday evening(2/8) when a grey Fiat Abarth 595 pulled into a layby on the H2 near Stacey Bushes.
The offender left the vehicle and pulled the passenger, a woman in her 20s, out onto the ground.
A passer-by stopped and spoke to the victim who suffered a chipped tooth and marks to her arms.
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Police are also investigating a dangerous driving incident which happened 11.40am on Wednesday when a vehicle failed to stop and was pursued by officers..
The vehicle was driven dangerously along Field Lane, Greenleys, before it turned onto a footpath.
Investigating officer PC Katie Henley, based at Milton Keynes police station, said: “We would like to appeal to anybody who may have witnessed these incidents or has CCTV or dash-cam footage in the area to please get in touch.
“Specifically, I would like to appeal to the passer-by who spoke to the victim of the first incident to come forward.
“Also, during the second incident, the vehicle drove close to a young female and I would like to speak to her too.
“You can get in touch by either making a report online or by calling 101 quoting reference number 43220344805.
“Alternatively, for 100% anonymity, you can also call the independent charity, Crimestoppers, on 0800 555 111.”
> A 34-year-old man from Milton Keynes has been arrested on suspicion of assault and multiple vehicle offences. He has been released on police bail until August 31.