* Acceleration is the rate of change of velocity. Velocity is speed *and* direction.
* Constant speed means the magnitude of your velocity (how fast you're going) is unchanging.
Think of it like this:
* Speeding up: You're accelerating, increasing your speed.
* Slowing down: You're also accelerating, but in the opposite direction of your motion (decelerating).
* Turning: Even if you maintain a constant speed, you're changing your direction, which means you're accelerating.
In short: To accelerate, you must either change your speed or your direction. Constant speed means you're not changing your speed, and therefore, you cannot be accelerating.