A cylindrical barrel of diameter D and mass m (when empty) is filled with water to an initial height ho. The barrel is placed on wheels, and at its side, right at the bottom, it has a hole discharging a water jet of diameter d. The water jet produces a reaction force acting on the barrel, and the latter starts moving. (a) Find the velocity v at which the water jet is leaving the barrel through the hole if the level has dropped to h. What assumption must be made about the barrel speed for this to be valid? (b) Calculate the rate of change of the water level in time in terms of

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