Mathematics for IGCSE & O level - Graphs In Practical Situations (Section 4 - No. 33)
What is the relationship between the rate of change of speed and the speed-time graph?
The rate of change of speed is the area under the graph.
The rate of change of speed is the gradient of the graph.
The rate of change of speed is the y-intercept of the graph.
The rate of change of speed is the x-intercept of the graph.
Explication
The rate of change of speed, which is the acceleration, is represented by the gradient of the speed-time graph.