I think back to the years I lived with my father and how he would worry. As teens we dealt with it by just not letting him know what we were doing. But, your mother knows so all you can do is be mature, let her know you are going to ride, and do what you can to ease her worries.
I am sorry about your grandfather. You sound like a good grandson. However, be sure to look out for yourself as you will have to be self sufficient one day. Do the very best you can in school. When you are home with your grandfather you can study, study, study. And do the very best to live a healthy life. This is your time to make habits that will serve you well through life.
--signed, old enough to be your grandma.