Final answer:
The minimum age for legally operating a personal watercraft unaccompanied in Kansas is 14 years old, with the condition of having completed boat safety certification.
Step-by-step explanation:
In Kansas, the minimum age at which a young person can legally operate a personal watercraft unaccompanied, provided that they have completed a boat safety certification, is 14 years old. According to Kansas boating laws, individuals aged 12 to 17 may operate a personal watercraft if they have completed a boating safety course approved by the Kansas Department of Wildlife, Parks, and Tourism. However, anyone under the age of 14 is prohibited from operating personal watercraft such as jet skis, even if they hold a boating safety certificate.