Question

The slope of a velocity versus time graph represents acceleration, which is the rate of change of velocity. The slope of a position versus time graph represents velocity, which is the rate of change of position. Therefore, the slope of a velocity versus time graph is the derivative of the velocity function with respect to time, while the slope of a position versus time graph is the derivative of the position function with respect to time. The relationship between the two slopes is that the slope of the velocity versus time graph is the rate of change of the slope of the position versus time graph. make this sentence shorter and rephrase it in 11th grade sentences

Answer 1

On a velocity–time graph, the slope is acceleration (the derivative of velocity). On a position–time graph, the slope is velocity (the derivative of position), so the velocity–time slope shows how the position–time slope changes over time.