If a distance-time graph shows increasing steepness, what does this signify about the motion?

When a distance-time graph shows increasing steepness, it indicates that the distance being covered by the object is increasing more significantly over the same time period. This can be understood by recognizing that the slope of a distance-time graph represents the speed of the object; a steeper slope implies a greater distance covered per unit of time.

If the steepness is increasing, this means that the object's speed is not constant but is instead increasing. Consequently, the object is gaining distance more quickly as time progresses, which is characteristic of speeding up. Therefore, when interpreting the graph, an increasing slope directly correlates with acceleration, signifying that the object is moving faster and covering more distance in a shorter amount of time, confirming that the object is indeed speeding up.