Yep - I would say there is a small ambiguity concerning what is meant by "movement" that can only be cleared up by context.
We could have argued, for eg, that the object will have a temperature, and therefore it's component atoms are moving: if an object jiggles about at random, is it "moving"? But then, you are told that it is initially "at rest" - if it jiggles about, is it also "at rest"? In normal English usage it is possible to describe something as jiggling about while staying in the same place... but is that the same thing?
We are told first that it is "an object" and then that it is "the particle" ... which is it?
This kind of judgement call is quite common.
Balance of probability is that the object continues in a state of rest - the mention of "the particle" and "at rest" (both being special-use terms in physics) being the clincher.