Final answer:
After a cold front passes, weather conditions typically include cooler temperatures and scattered clouds, due to the stabilizing atmosphere and the movement of cooler, drier air into the area.
Step-by-step explanation:
The weather conditions present during the summer over the North Sea approximately 300km behind a quickly moving cold front would generally be c. Cool temperatures and scattered clouds. After a cold front passes, the atmosphere tends to stabilize, and cooler and drier air moves in. This results in a reduction of cloud cover and precipitation potential.
Therefore, while one might not experience the heavy rainfall and thunderstorms typically associated with a cold front's immediate passage, the atmosphere usually remains unsettled enough to support scattered cloud development. In terms of wind, it may be breezy or even windy immediately after the passage but will likely lessen somewhat as the front moves further away. This is all typical of a post-cold front environment in the summer, where the colder, denser air behind the front has begun to influence the regional weather but does not have the same level of instability associated with the front itself.