What is the final velocity of a 309 g glass after rolling down an incline to a horizontal platform?

To determine the final velocity of the glass after rolling down the incline, we consider the principles of energy conversion and kinematics. When an object rolls down an incline, gravitational potential energy is converted into kinetic energy. The final velocity can be calculated using the conservation of energy principles or kinematic equations that account for the incline's height, angle, and the initial velocity of the glass.

In this scenario, since the glass rolls down an incline, it starts from rest and accelerates due to gravity. The final velocity as calculated from these principles might yield a positive or negative value depending on the chosen coordinate system. If we define downward motion as positive, a downward velocity will, in fact, be positive, while an upward motion would be considered negative.

The indication of a negative value for the velocity may suggest that the glass is moving in the opposite direction from what is defined as positive in this context. For instance, if one were to choose upward as positive, a velocity of -0.612 m/s would indicate the glass is moving downward at that speed.

The answer indicates that the calculated or inferred final velocity from the incline's conditions results in -0.612 m/s, suggesting the need to correctly identify the direction of motion based on how the question