Final answer:
The correct description of a golf ball rolling off a horizontal cliff is that it accelerates due to gravity. For the graphs: horizontal velocity is constant (a straight line), while vertical acceleration is constant at 9.81 m/s^2 (a horizontal line).
Step-by-step explanation:
When a golf ball rolls off a horizontal cliff, the correct physics phenomenon that describes its motion is that it accelerates due to the force of gravity. Thus, the answer is B. It accelerates.
b. The graph of the ball's horizontal velocity remains constant because there are no forces acting in the horizontal direction (assuming air resistance is negligible). Therefore, the graph would show a straight line parallel to the time axis.
c. The graph of the ball's vertical acceleration versus time would be a horizontal line. This is because in free fall, the acceleration due to gravity is constant; on Earth, this value is approximately 9.81 m/s2 downward. This graph does not change with time as long as the ball is in free fall and air resistance is ignored.