If the cart of Problem 4.105 is released at \(t=0\), when would you expect the acceleration to be maximum? Sketch what you would expect for the curve of acceleration versus time. What value of \(\theta\) would maximize the acceleration at any time? Why? Will the cart speed ever equal the jet speed? Explain briefly.

Data From Problem 4.105

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4.105 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 FD=kU, where k = 0.92 N s/m. Evaluate the acceleration of the cart at the instant when its speed is U = 10 m/s. D = 25.0 mm 0 = 30 U = 10.0 m/s V = 30.0 m/s M = 15.0 kg P4.105, P4.106, P4.110