Q: Sentence (1) The teacher paused in her lecture to allow the students to assimilate what she had said.
Sentence (2) This country assimilates immigrants very quickly.. Word: assimilate.
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A: different meanings

Q: Sentence (1) The author gives a depressing picture of life in Poland.
Sentence (2) He had no clear picture of himself or his world.. Word: picture.
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A: different meanings

Q: Sentence (1) A body will continue in a state of rest until acted upon.
Sentence (2) Now that we're all in agreement, we can put that issue to rest.. Word: rest.
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A:
the same meaning