Which graph best represents the y component of the velocity of an object in free fall, dropped from rest?

In the scenario of an object in free fall, dropped from rest, the y component of its velocity can be described by the equations of motion under uniform acceleration due to gravity. When an object is dropped, it starts with an initial velocity of zero and accelerates downward at approximately 9.81 m/s² (assuming no air resistance). This means that the velocity increases linearly over time as the object falls.

The correct graph that represents this scenario would depict a straight line with a positive slope, indicating that the velocity increases as time progresses. As time goes on, the y component of the velocity becomes more positive, consistently reflecting the object's acceleration.

In this case, the graph that best demonstrates this linear increase in velocity as time goes on is the one that accurately represents the positive slope corresponding to the accelerating motion of the free-falling object. Hence, the choice that reflects this behavior is indeed the right answer.