The laws of motion cannot be derived purely from calculus, as they are fundamentally physical laws based on empirical observation and experimentation. While calculus can be used to express and develop these laws mathematically, their origins lie in physical principles rather than mathematical foundations. The formulation of these laws requires postulation based on real-world phenomena. Therefore, understanding the laws of motion involves both mathematical representation and physical experimentation. Ultimately, the relationship between calculus and the laws of motion is one of application rather than derivation.