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 velocity is zero.
The velocity is zero.

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

The acceleration is negative.
The acceleration is negative.

The velocity is constant and non-zero.

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
4 hours ago

If the graph of an object's position over time is a horizontal line and \( y \) is not equal to 0, it indicates that the object's position does not change over time. This means that the object is not moving.

Therefore, it must be true that:

The velocity is zero.

Since the object is not changing its position, it is not moving, and thus its velocity is zero. The other options regarding acceleration imply a change in velocity, which cannot occur if the velocity is already zero and constant.