Question

The graph of an object's position over time is a horizontal line and y is not equal to 0. What must be true about the object's motion?(1 point)
Responses

The acceleration is negative.
The acceleration is negative.

The acceleration is constant and non-zero.
The acceleration is constant and non-zero.

The velocity is zero.
The velocity is zero.

The velocity is constant and non-zero.

Answer 1

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:

- **The acceleration is negative:** This is not true, as acceleration is not defined if there is no change in velocity.

- **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.

- **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.

- **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.**