The wheeled cart shown rolls with negligible resistance. The cart is to accelerate to the right at a constant rate of \(2.5 \mathrm{~m} / \mathrm{s}^{2}\). This is to be accomplished by "programming" the water jet speed, \(V(t)\), that hits the cart. The jet area remains constant at \(50 \mathrm{~mm}^{2}\). Find the initial jet speed, and the jet speed and cart speeds after \(2.5 \mathrm{~s}\) and \(5 \mathrm{~s}\). Theoretically, what happens to the value of \((V-U)\) over time?

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p = 999 kg/m V (f) A = 50 mm 120 U M= 5 kg P4.111