a cart which can roll freely in the x-direction deflects water from a parallel jet (in the x-direction) into its tank with a vane inclined at an angle θ. the jet issues steadily at a speed v with density rho and has cross-sectional area a. the cart is initially at rest with a mass mo. (a) formulate a differential expression governing the mass, m(t), of the cart plus the fluid in the cart as a function of time. (b) solve this equation and find m(t).