Suggestion

Can you match up the following displacement–time graphs with their corresponding velocity–time graphs? Some of the graphs have not been drawn; you will need to complete them yourself.

When you have matched them up, could you give descriptions of what might be happening in them? Here are some possible contexts we’ve thought of; feel free to use your own instead.

A positive velocity corresponds to a positive gradient: the displacement is increasing.

A negative velocity corresponds to a negative gradient: the displacement is decreasing.

When the velocity is zero, the distance is neither increasing nor decreasing.