Final answer:
The slope of a distance-versus-time graph represents the velocity.
Step-by-step explanation:
In physics, the slope of a distance-versus-time graph represents the velocity. Velocity is the rate at which an object changes its position in a specific direction over a given period of time. The slope of the graph gives the ratio of the change in distance (rise) to the change in time (run) between two points on the graph, which is the definition of velocity. The slope of a distance-versus-time graph represents velocity. This is because the slope calculation (rise over run) in this case equates to the change in distance (displacement) over the change in time, which is the definition of velocity. If the slope is constant, the object is moving at a constant velocity. If the slope changes, the velocity changes, indicating acceleration or deceleration. The y-intercept of a distance-versus-time graph indicates the initial position of the object at time zero.
For example, if the slope of the graph is 2 meters per second, it means that the object is moving with a velocity of 2 meters per second.
Therefore, the slope of a distance-versus-time graph represents the velocity of an object.