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no. see the definition of acceleration. it can remain a constant speed while the velocity changes.

*Edit* Actually, the answer is yes. The algebraic formula for acceleration is displacement over time but you are only thinking in terms of linear motion, or in the case of this scenario, a straight road. But when the car follows the road as it snakes or rounds a bend its acceleration is changing even if its speed is not.

A more specific definition of acceleration is the change in velocity over the change in time. Velocity is a measurement of speed but with a direction and when an object goes into a circular motion path (or any motion path that isn't linear) its velocity is continually changing and a change in velocity means a change in acceleration.

Plainly put, if the car turns a corner with a constant speed, the magnitude is constant but the acceleration vector is not.

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