Yes, an object can accelerate and have a constant speed at the same time. This might seem counterintuitive, but it's possible if the object is moving in a circle.

Here's why:

* Acceleration is a change in velocity. Velocity is a vector quantity, meaning it has both magnitude (speed) and direction.

* Circular motion involves constant change in direction. Even if the object's speed is constant, its direction is constantly changing as it moves in a circle.

* This change in direction constitutes acceleration. Even though the object's speed is constant, its velocity is changing, which means it is accelerating.

Example: A car driving at a constant 50 mph around a circular track is accelerating even though its speed is constant. The acceleration is directed towards the center of the circle and is called centripetal acceleration.

So, the key takeaway is that acceleration doesn't always mean a change in speed; it can also mean a change in direction.