Rocket of mass m0 is launched vertically from the ground. The constant rate at which the gas is burnt is
and the exhaust velocity with respect to rocket is v. Let us calculate the acceleration of the rocket and its velocity of the rocket when its mass is m. Assume that acceleration due to gravity is constant during the motion in question.
Let m be the mass of the rocket moving with velocity V at some instant t.
Thrust or rocket vdm/dt = µv()
Now,
Þ
.. (i)
Þ Now
equation (i)
For integration put
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