Final answer:
Yes, it is possible for speed to be constant while acceleration is not zero. This occurs when an object is moving in a curved path and experiencing centripetal acceleration.
Step-by-step explanation:
Yes, it is possible for speed to be constant while acceleration is not zero. This occurs when an object is moving in a curved path. Even though the object's speed remains constant, its direction is changing, which means it is experiencing acceleration. The centripetal acceleration keeps the object moving in a curved path without changing its speed.
For example, consider a car moving around a circular track at a constant speed. The speed of the car remains the same, but it is constantly changing direction, resulting in a non-zero acceleration.