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 velocity is constant and non-zero.
The velocity is constant and non-zero.
The acceleration is constant and non-zero.
The acceleration is constant and non-zero.
The velocity is zero.
The velocity is constant and non-zero.
The correct answer is: The velocity is constant and non-zero.
To determine what must be true about the object's motion based on the graph of its position over time, we can analyze the characteristics of the graph.
If the graph of the object's position over time is a horizontal line (not intersecting the x-axis) and y is not equal to 0, this means that the position of the object remains constant over time, indicating that it is not moving in the direction of the x-axis.
Therefore, the object's velocity must be zero since velocity is defined as the rate of change of displacement with respect to time, and a horizontal line represents a constant position.
Hence, the correct answer is: The velocity is zero.