So I come in a high school background. I'm currently in 11th grade taking AP Physics and it is Awesome! I want to build this robot because of personal accomplishment and for résumé. I want the robot to have the capabilities such as sensors and interactions with different objects.
That helps a little, but it seems you don't yet have a clear design goal... We can't really help you with the physics unless we know more about what your robot is going to do.
Or are you asking for ideas for a robot you could build which would involve physics? If that's what you're wondering, try searching the internet for high school robotics competitions. Even if you're not the competitive type, that migh give you some ideas, and it will give you a sense of what's feasible for someone in high school.