Eeek, looks bad! If you live in Aberdeen and use the A90 regularly then you'll know that section of road is bad for standing water, given that to the left of the road the ground rises and so dumps all the rain water onto the carriage-way, made worse by the steep ramp like junction to the left. Can be like crossing a stream.
Only reason for aqua plaining there would a huge amount of water far in excess of what is normally there and/or excessive speed and/or worn tyres. 70MPH limit after just being released from a 40MPH limit, so must people are trying to get going up the hill. She's a lucky lady, if that wasn't an RS4 I doubt she'd have come out.
I've been through the water there at 50/60/70 as it's normally short enough not to matter, slow down for it now though as my tyres are only showing 1.8mm. Perhaps they need to sort out some drainage to stop the road flooding...it is a known issue. Likewise south deeside road just now, death trap to the unwary.