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While deriving rocket equation we find change in momentum of rocket and this is the result:

Δp=MΔV+VeΔM
from here we divide this by time to calculate force and since no external force(freespace) is acting we get: A = VeΔM / M (A is acceleration of rocket). And now we integrate this with time to get change in velocity and we assume intial velocity is zero so we get real time velocity this is rocket equation. In the equation :Δp = MΔV + VeΔM since Δp = 0 and the equation becomes: MΔV = −VeΔM dividing the whole by M we get: ΔV = −VeΔM / M this also tells change in velocity and since initial velocity is zero this will give me real time velocity

User Kostja
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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.

User Jonas Meller
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