A stationary water tank of diameter D is mounted on wheels and is placed on a nearly

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A stationary water tank of diameter D is mounted on wheels and is placed on a nearly frictionless level surface. A smooth hole of diameter Do near the bottom of the tank allows water to jet horizontally and rearward and the water jet force propels the system forward. The water in the tank is much heavier than the tank-and-wheel assembly, so only the mass of water remaining in the tank needs to be considered in this problem. Considering the decrease in the mass of water with time, develop relations for 

(a) The acceleration, 

(b) The velocity, 

(c) The distance traveled by the system as a function of time.

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