Final answer:
The rocket equation is a fundamental equation in physics used to determine the change in velocity of a rocket. It is derived by considering the change in momentum of the rocket and the momentum of the ejected fuel. By dividing both sides of the equation by time and integrating, we can find the change in velocity and the real-time velocity of the rocket.
Step-by-step explanation:
The rocket equation is a fundamental equation in physics used to determine the change in velocity of a rocket. It is derived by considering the change in momentum of the rocket, which is equal to the product of its mass and the change in velocity, and the momentum of the ejected fuel, which is equal to the product of the velocity at which the exhaust is ejected and the change in mass of the rocket. By dividing both sides of the equation by time, we can calculate the force experienced by the rocket. Assuming no external forces are acting on the rocket, we can integrate this force with respect to time to find the change in velocity. If the initial velocity is zero, this will give us the real-time velocity of the rocket.