I have a question about the difference between tangential acceleration and centripetal acceleration. I understand that in centripetal motion, centripetal acceleration is toward the center of a circle. However perpendicular to that is tangential acceleration which depends on tangential velocity. So as one is going up the circle the tangential velocity decreases and is a minimum at the top of the circle. Now this tangential velocity is decreasing in speed due to the force of mgsin(theda) countering it on the way up. Since acceleration is the derivative of velocity, isn't tangential acceleration a min at the top of the circle as well? If not, then where would it be a min? Since centripetal acceleration is the acceleration toward the center of the circle, is it ever a minimum or is it constant? What about the component of centripetal velocity? Is it a minimum ever? Thanks and sorry for the questions.