This is a view of a Hillman Imp Coupe car which was a very popular model in the 1960s - this car is an F reg model which means it was registered in 1967.
The Imp featured an engine fitted at the back of the car and the luggage space at the front, and certainly some models had an air cooled engine rather than the usual water cooling and radiator. I don't know if all the models had this 'feature', but it makes sense if the engine is in the back since it wouldn't be easy to get air flow through a radiator with the engine in that position.
This particular car is a two door, white coupe model, with wing mirrors fitted for extra visibility to the rear, and a red 'go faster' stripe down the side of the car.
I suspect this picture was taken because the family who had just acquired it were probably very proud of their new car!