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A cart loaded with sand moves along a ho...

A cart loaded with sand moves along a horizontal plane due to a constant force F coinciding in direction with the cart's velocity vector. In the process, sand spills through a hole in the bottom with a constant velocity `mu kg//s`. Find the acceleration and the velocity of the cart at the moment t, if at the initial moment `t=0` the cart with loaded sand had the mass `m_0` and its velocity was equal to zero. The friction is to be neglected.

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