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Originally Posted by Mike Kelley
I love how part b of this question asks if the object continues to move after it comes to rest. ??????????????
It's really not that absurd of a question. Things are "at rest" if they have a 0 velocity. If the block slides up that slope, it temporarily rests at a point where the force of gravity and friction stop it for a point in time, and then it starts sliding the other way. Or, when it hits the spring and the spring compresses fully, it is temporarily at rest, then the spring expands and its no longer at rest.