Answer the following brief:
A toy car moves with a constant speed, then accelerates, and finally stops. Explain how these three stages of motion would be represented on a position–time graph. Describe how the slope of the graph changes during each stage.
On a , the toy car moving with is represented by a , showing that it covers equal distances in equal intervals of time. As the toy car speeds up, the graph becomes , indicating that its velocity is increasing with time.
When the toy car comes to rest, the graph changes to a , showing that its position remains constant and there is no change in position with time. Thus, the , and any change in the slope indicates a change in the object's motion.