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No. Acceleration is defined as the rate of change of velocity.

If velocity is constant, then its rate of change is zero.

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Another contributor obfuscated:

If we were to get really picky with our vectors we could say that an object could have constant velocity in the x-y plane and still accelerate in the z-axis.

Also a system of objects could have a net-velocity in 3-D space and still have a radial acceleration. A solar system traveling through space at constant velocity will have a radial acceleration, for each component part of the system, around the gravitational center of mass of the system.

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Can a body constant speed still be accelerating with example?

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