Final answer:
To calculate the burnout velocity of a rocket, the Tsiolkovsky rocket equation is used. However, without the exhaust velocity, the exact burnout velocity cannot be determined, but the equation can be expressed in terms of exhaust velocity using the given mass ratio.
Step-by-step explanation:
The student asks how to calculate the burnout velocity of a rocket using kerosene-oxygen as fuel-oxidizer where the ratio of initial weight before blastoff to the final weight at burnout is 5.5. The calculation of burnout velocity can be done using the Tsiolkovsky rocket equation, which is:
Δv = Ve * ln(m0 / mf)
Where Δv is the burnout velocity, Ve is the exhaust velocity, m0 is the initial total mass, and mf is the final total mass. Unfortunately, we cannot calculate the exact burnout velocity without the exhaust velocity, which isn't provided in the student's question. However, we can express the burnout velocity in terms of the exhaust velocity using the given mass ratio:
Δv = Ve * ln(5.5)
Once the exhaust velocity (Ve) is known, it can be plugged into this equation to find the burnout velocity (Δv).