Problem 11a

Given information

The graph of position function of the particle is given as:

Step-by-step explanation

When particle moves right, its displacement increases.

When particle moves left, its displacement decreases.

When particle stands still, its displacement remains same.

When examine the graph, we can see the displacement increases from to second and from to seconds. 

Thus, the particle is moving right from  to  second  and then, from  to  seconds.

Also, when examine the graph,  we can see the displacement decreases from   to seconds.

Thus, the particle is moving right from    to  seconds.

The graph is same from  to seconds  and from  to seconds time.

Thus, the particle is standing still from   to  seconds and from   to  seconds.