The cart has a mass M and is filled with water that has a mass m0. If a pump ejects the...

The cart has a mass M and is filled with water that has a mass m₀. If a pump ejects the water through a nozzle having a cross-sectional area A at a constant rate of v₀ relative to the cart, determine the velocity of the cart as a function of time. What is the maximum speed of the cart assuming all the water can be pumped out? The frictional resistance to forward motion is F. The density of the water is ρ.