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Answer:
Explanation:
The speed of the rocket is given the Tsiolkovsky's differential equation, whose solution is:
Where:
- Initial speed of the rocket, in m/s.
- Exhaust gas speed, in m/s.
- Initial total mass of the rocket, in kg.
- Current total mass of the rocket, in kg.
Let assume that fuel is burned linearly. So that,
The initial total mass of the rocket is:
The fuel consumption rate is:
The function for the current total mass of the rocket is:
The speed function of the rocket is:
The speed of the rocket at given instants are: