Final answer:
An object moving west and slowing down has a velocity directed west and its acceleration is directed east, which means the correct answer is B) Velocity is directed West; Acceleration is directed East.
Step-by-step explanation:
If an object is moving towards the west and slowing down, its velocity is directed west, because that is the direction of its motion. Since the object is slowing down, the acceleration must be directed in the opposite direction to the velocity to cause this deceleration. In this case, the acceleration would be directed east. Therefore, the correct answer is B) Velocity is directed West; Acceleration is directed East.
This is because acceleration is defined as the rate of change of velocity. If the velocity is decreasing, the acceleration is in the opposite direction of the motion. If we define east as the positive direction and west as negative, this aligns with the idea that a negative acceleration (or deceleration) is acting on an object moving in the negative direction (west), thereby slowing it down.