Under certain conditions, the velocity v and mass m of a rocket at time t are linked by the differential equation given below. dv dm dt dt Equation given by U is the constant exit velocity relative to the rocket. Since the rocket starts from rest with mo mass at t = 0; m. V =U In a) Show m b) Assuming that the mass m decreases with time at a constant rate u: dm dx show that. The k given in the equation shows the path taken. V

Under certain conditions, the velocity v and mass m of a rocket at time t are linked by the differential equation given below. dv dm dt dt Equation given by U is the constant exit velocity relative to the rocket. Since the rocket starts from rest with mo mass at t = 0; m. V =U In a) Show m b) Assuming that the mass m decreases with time at a constant rate u: dm dx show that. The k given in the equation shows the path taken. V