Centre of mass

A wedge of mass \(M\) and a small block of mass \(m\) are kept on a horizontal surface as shown in the figure. All surfaces are smooth system is released from rest. Assume that system is placed at some planet of unknown gravity. If it given that at an instant it is given that the acceleration of wedge \(M\) is \(1\text{ m/s}^2\). Then acceleration of centre of mass of block and wedge \(M\) will be? Take \(\theta = \frac{\pi}4\).

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