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No. A object can have acceleration while moving at a constant speed (like the earth in its orbit around the sun). But once you use the word "velocity", you've expanded the decription of its motion to include the direction as well as the speed. The definition of acceleration is a change in either speed or direction, so if there is acceleration, then either the speed or the direction of the velocity (or both) is changing, so the velocity is not constant.

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What does the graph of acceleration vs. time look for something going constant velocity?

a horizontal line


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Why is acceleration zero when the body is moving with a constant velocity?

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What is difference between an object moving with uniform acceleration and an object moving with a constant velocity?

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