A rocket ascends from rest in a uniform gravitational field by ejecting exhaust with constant speed " u " . Assume that the rate at witch mass is expelled is given by dm/dt = Cm , where m is the instataneous mass of the rocket and C is a constant, and that the rocket is retarded by air resistance with a force mBv, wher B is a constant.
FInd the velocity of the rocket as a function of time
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The solution is attached below in two files. ...
The 3 pages solution shows in detail how to apply Newton's second law in order to derive the ordinary differential equation of motion and tehn goes on ans show how to solve the equation.