It's absolutely possible for a car's velocity to change while its speed remains constant. This happens when the car changes direction while maintaining the same magnitude of its velocity.

Here's why:

* Velocity: Velocity is a vector quantity, meaning it has both magnitude (speed) and direction.

* Speed: Speed is a scalar quantity, meaning it only has magnitude.

Example:

Imagine a car driving around a circular track at a constant speed of 60 mph.

* Speed: The car's speed is constant at 60 mph.

* Velocity: The car's velocity is constantly changing because its direction is constantly changing. Even though the car's speed remains the same, its velocity is different at every point on the track.

Key takeaway: A change in direction always results in a change in velocity, even if the speed remains the same.