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

The acceleration is negative.

1 answer

If the graph of an object's position over time is a horizontal line and \( y \) is not equal to 0, then the object is not changing its position over time. This indicates that the object is at rest.

The true statement about the object's motion is:

The velocity is zero.

The other options are not applicable because:

  • The acceleration would be zero because the object is not changing its velocity (it is at rest).
  • There cannot be a constant and non-zero velocity or non-zero acceleration if the position is constant.
  • There cannot be negative acceleration if there is no movement.

Therefore, the correct response is The velocity is zero.