No, the momentum is not the same. The kinetic energy is a scalar quantity, it depends only on velocity magnitude, not the velocity direction. The momentum, however, is the vector quantity. It depends both on velocity magnitude and direction:
where is the mass of the object, is its velocity. Bold letters denote vectors.
Thus, in case when velocity points south differs from the case velocity points northwest.
Answer. No, the momentum is not the same.
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