A curved slope on a distance-time graph indicates what about acceleration?

A curved slope on a distance-time graph indicates that the rate at which distance is covered is changing, which is directly related to acceleration. As the slope steepens, it signifies that the change in distance is becoming more rapid over time, reflecting an increase in speed. This increase in steepness translates to an increase in acceleration.

When the slope is curved, it suggests that the object's velocity is not constant, meaning the object is either speeding up or slowing down. If the graph shows a curvature that becomes steeper, it further indicates that acceleration is not only present but is increasing. Thus, when the slope grows steeper, the acceleration is also increasing, making the option about acceleration increasing as the slope steepens the correct choice.