It's thought the driver ignored the warning lights and went under crossing barricades before hitting the stopped train.
The train driver apparently did not realise the car was stuck underneath and dragged the vehicle over 100 yards.
The video begins when the car is stationary. The officers are reassuring the pair that help is on the way.
But then the car moves forward and one of the officers says: "What the ****...Get them to stop! Stop the train!"
"They're dragging the car with people inside."
The officer ran alongside the car still trying to reassure the victims, saying: "Hold tight man. We're getting them to stop. We're getting them to stop."
A fire truck managed to alert the train conductor to stop. The driver of the car is thought to be in a serious condition while the passenger suffered minor injuries, reports CBS News.
The UK's worst train stations
The UK's worst train stations
This Edwardian station was built in the early 1900s and is operated by East Midlands Trains. 59 per cent of people surveyed said they were satisfied with the station - a low score which ranked it bottom for both cleanliness and facilities in the Passenger Focus National Passenger survey.
Birmingham New Street railway station is the largest and busiest serving Birmingham. Despite the regular flow of people, only 64% of passengers surveyed in the National Rail Passenger Survey (NRPS) are satisfied with the sation.
London Bridge railway station is a central London railway station and a London Underground complex in the London Borough of Southwark. The station is the oldest railway station in central London and one of the oldest in the world. 67% of passengers surveyed were satisfied with this station, the fourth busiest station in London.
Peterborough railway station is a major interchange serving both the north-south ECML, as well as East-West long-distance and local services. The station is managed by East Coast. Just 67% of passengers surveyed were satisfied with this station.
Crewe station was completed in 1837 and is one of the most historic railway stations in the world. Like London Bridge and Peterborough, only 67% of passengeres surveyed were happy with this station.
Gatwick Airport station provides a direct rail connection to London. The station platforms are located about 70 metres away from the airport's South Terminal. 69% of passengers surveyed were satisfied with this station.
Stockport railway station was identified as one of the ten worst category B interchange stations by a mystery shopper assessment in 2009. Despite improvements being made to the station since, it is still one of the ten worst stations with only 70% of passengers satisfied with the station.
Clapham Junction station is one of the busiest in Europe by number of trains using it with many routes from London's two busiest termini, London Waterloo and London Victoria. Only 71% of passengers surveyed were satisfied with this busy station.
Maidenhead railway station serves the town of Maidenhead, Berkshire, England. It is served by local services operated by First Great Western from London Paddington to Reading, and is also the junction for the Marlow Branch Line. The survey showed 71 per cent of respondents were satisfied with the overall quality of the station, giving it the ninth lowest satisfaction rating.
Coventry station has the PlusBus scheme where train and bus tickets can be bought together at a saving. Despite this convenient feature, only 72% of passengers surveyed were satisfied with the station.