Fuel is ejected from a rocket of mass \({ M }_{ 0 }\) at a velocity \(u\) \(m/s\) relative to Rocket. Fuel is ejecting at constant rate of \(\mu \quad Kg/s\). Initial Velocity rocket starts from rest from the surface of earth

( Neglect air and other resistance force in both Cases)

Q1). Assume gravity is constant , Find acceleration, velocity and Thrust as a function of time.

Q2). Assume gravity changes with height \(h\) from earth surface as \(g\left( h \right) =\frac { g }{ { \left( 1+\frac { h }{ { R }_{ e } } \right) }^{ 2 } } \), Find acceleration, Velocity and Thrust as a function of time.

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TopNewestIs acceleration \(\frac{\mu u}{M_{0} -\mu t}\) ? – Harsh Shrivastava · 1 year, 1 month ago

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– Rishabh Deep Singh · 1 year, 1 month ago

How do you find it ?? I don't know the answer.Log in to reply

– Harsh Shrivastava · 1 year, 1 month ago

Use conservation of momentum and a=dv/dt.Log in to reply

We can't apply conservation of momentum as there is gravity and also mass is changing with Time. – Rishabh Deep Singh · 1 year, 1 month ago

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