Q6. A rocket of mass m is projected vertically upwards with an initial velocity u from the ground. The rocketis subject to a resistive force of 4.905mv Newtons where v is the velocity of the rocket when it is x metresabove the ground.(a) Derive a differential equation of the motion for the rocket, in the form:dv= -D(E +v)dxWhere D and E are constants to be found.(b) Solve the differential equation and express x = f(v).(c) If u = 10 m/s find the greatest height the rocket reaches above ground.

Given a rocket of mass m is projected vertically upwards with an initial velocity 'u' from the…

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