mechanics
posted by Kemmone .
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?

The cat jumps out the window before the dog catches it.