A cat is sleeping on the floor in the middle of a 4m wide room when a barking dog enters with a speed of 1.8m/s. As the dog enters, the cat immediately accelerates at 0.85m/s^2 towards an open window on the opposite side of the room. The dog; a bit amazed by the cat began to slow down at 0.2m/s^2 as soon as it enters the room. Do calculations to determine whether the dog will catch the cat before it jumps out of the room via the open window?
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