A mass m_{1} is connected by a light string that passes over a pulley of mass M to a mass m_{2} sliding on a frictionless horizontal surface as shown in the figure. There is no slippage between the string and the pulley. The pulley has a radius of 25.0 cm and a moment of inertia of ½ MR^{2}. If m_{1} is 4.00 kg, m_{2} is 4.00 kg, and M is 4.00 kg, then what is the downward acceleration of m_{1}?

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4.42 m/s^{2}

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3.92 m/s^{2}

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3.42 m/s^{2}

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3.04 m/s^{2}

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2.96 m/s^{2}