Final answer:
Answer is option A: Constant speed and slowing rotation.Positive angular velocity indicates counterclockwise rotation, and negative angular acceleration means rotation is slowing down.
Step-by-step explanation:
When an object has a positive angular velocity, it means that it is rotating in the counterclockwise direction, which is considered the positive direction conventionally. The object with negative angular acceleration is experiencing a deceleration; that is, it's slowing down its rotation despite rotating in the positive direction. Therefore, the correct scenario for positive angular velocity combined with negative angular acceleration is that of an object maintaining constant speed while its rate of rotation is decreasing.
Putting this into context, consider a scenario where a figure skater is spinning counterclockwise; she has a positive angular velocity. If the skater begins to extend her arms outwards or encounters resistance, she would start to slow down. This slowing down is represented by negative angular acceleration. In such a case, the skater's rotation rate decreases over time, which matches option A: Constant speed and slowing rotation.
When we have positive angular velocity and negative angular acceleration, it means that the object is rotating counterclockwise and its rotation is slowing down. In other words, the object has a constant speed but its rotation rate is decreasing.