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?

A) The velocity is zero.
B) The acceleration is negative.
C) The acceleration is constant and non-zero.
D) The velocity is constant and non-zero.

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

If the graph of an object's position over time is a horizontal line and \( y \) is not equal to 0, this indicates that the object's position is constant over time. Therefore, we can conclude the following:

  • Position is constant: The object is not changing its position as time progresses.
  • Velocity: The slope of the position vs. time graph represents the velocity. Since the line is horizontal, the slope is zero, which means the velocity is 0.
  • Acceleration: Since the velocity is constant (in this case, zero), there is no change in velocity, meaning the acceleration must also be zero.

Based on this analysis, the correct answer is:

A) The velocity is zero.