A steady jet of water is used to propel a small cart along a horizontal track as shown. Total resistance to motion of the cart assembly is given by \(F_{D}=k U^{2}\), where \(k=0.92 \mathrm{~N} \cdot \mathrm{s}^{2} / \mathrm{m}^{2}\). Evaluate the acceleration of the cart at the instant when its speed is \(U=10 \mathrm{~m} / \mathrm{s}\).

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D = 25.0 mm 0 = 30 A 7 V = 30.0 m/s M = 15.0 kg P4.105, P4.106, P4.110 U = 10.0 m/s