Final answer:
When a car goes around a curve with a constant speed, its acceleration is changing because the direction of the car's velocity is changing.
Step-by-step explanation:
When a car goes around a curve with a constant speed, its acceleration is changing. Although the speed is constant, the direction of the car's velocity is changing, which means there is a change in velocity. Since acceleration is the rate of change of velocity, the car is accelerating. This is because velocity is a vector quantity, meaning it has both magnitude and direction. Even if the magnitude of velocity remains constant, the change in direction constitutes a change in velocity and therefore acceleration.