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There is no problem in this case from Newton's third law because the collision is not happening instantly.

During the collision the mud is flattened and slowed by a reactive force from the wall (according to the third law) and the kinetic energy that is lost is converted to heat in the wall and the mud and also the deformation of the mud.

After the collision no speed remains and the mud sticks to the wall. The problem is that you forgot to consider the time of the collision and that the mud itself is not a rigid object; it can absorb energy.

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Q: When you throw mud to the wall it sticks to the wall According to newtons 3rd law the wall should throw it back then why it sticks to the wall?
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