The hard part about rocket science is not the equations of motion.
It is that rockets that can send payload into orbit are operating at the limits of what materials are capable of. You have extreme forces, pressures, temperatures, and some of the nastiest chemicals, all that while being as lightweight as possible. There is something called the Tsiolkovsky rocket equation. The equation is simple, but the implications are that space rockets are not like fireworks, and it is what makes rocket science rocket science.
It is that rockets that can send payload into orbit are operating at the limits of what materials are capable of. You have extreme forces, pressures, temperatures, and some of the nastiest chemicals, all that while being as lightweight as possible. There is something called the Tsiolkovsky rocket equation. The equation is simple, but the implications are that space rockets are not like fireworks, and it is what makes rocket science rocket science.