Chapter 3.1, Problem 1PP

To determine

To Sketch: The motion diagram.

Explanation of Solution

Introduction:

Velocity can be defined as the rate of change of position. Its SI unit is ${\text{m/s}}^2$ . The distance between the dots of the position shows the change in the position with respect to time.

  

From the given graph, it can be seen that velocity is constant from $0$ s to $2$ s and it is decreasing from $2$ s to $3$ s. From time $3$ s to $5$ s, velocity is constant and again it is decreasing from $5$ s to $6$ s and the person is at rest from $6$ s to $7$ s. Then the velocity is increasing from $7$ s to $8$ s and again it becomes constant from $8$ s to $10$ s.

The motion diagram for the corresponding graph is shown below:

  

Conclusion:

From the motion diagram, it can be seen that the vector length remains the same during constant velocity. It decreases when velocity decreases and increases with the increase in the velocity. The vector length is zero when the person is at rest.