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Q. A rocket of initial mass 1000 kg ejects mass at a constant rate of 10 kg/s with constant relative speed of $ 11\text{ }m{{s}^{-1}} $ . Neglecting gravity, the acceleration of the rocket 1 min after the blast is:

KEAMKEAM 2003

Solution:

Acceleration, $ a=\frac{\Delta m}{\Delta t}.\frac{u}{\left( m-\frac{\Delta m}{\Delta t}.t \right)} $ $ =10\times \frac{11}{(1000-10\times 60)} $ $ =\frac{11}{40}m/{{s}^{2}} $