I ski with my mom quite a bit and I am in college, she understands that I am going to venture into the park or take a run that she is uncomfortable with, so she will either go down and wait for me at one of the lifts or we will make a 30 minute break and meet up at that time. But it really is good bonding time and can be a lot of fun, except for the occasional disagreement that you will get into lol. But just relax and enjoy a day of lax riding.
It never hurts for someone to drive you there, buy you food and shit anyways lol.