If the graph of an object's position over time is a horizontal line and \( y \) is not equal to 0, this means that the object's position does not change over time. This indicates that the object is at rest.
Regarding the options:
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The acceleration is negative: This is not true, as acceleration is not defined if there is no change in velocity.
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The acceleration is constant and non-zero: This is also not true because if the object is not moving, the acceleration must be zero in this case.
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The velocity is zero: This is true, as a horizontal line indicates no change in position over time, meaning the object's velocity is zero.
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The velocity is constant and non-zero: This is not true because the velocity is actually zero.
Therefore, the correct statement is:
The velocity is zero.