FYKOS Year 25 Series 4 Problem 4 — rockets · FYKOS 25 #25.4.4

Physics · mechanics · electromagnetism

Problem

Model of a rocket contains a motor whose power output is constant as long as it is provided with fuel. The initial mass of the fuel is

m_{p}

, the mass of an empty rocket is

m_{0}

and the amount of fuel burned by the motor grows linearly with time. What is the maximum height the rocket can reach assuming the gravitational field to be homogeneous and the air resistance to be negligible?

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