Chapter 2.4, Problem 32PP

To determine

The motion diagram and position-time graph of the dog.

Answer to Problem 32PP

The position-time graph of the dog is given by the figure (1) and the motion diagram of the dog by the figure (2).

Explanation of Solution

Introduction:

The slope of the position-time graph gives the speed of the dog. The dog starts with some initial speed and stops after moving some distance. The speed of the dog decreases, so the slope of the position time graph is negative.

The slope of the speed time graph gives the acceleration of the dog.

The speed of the dog describes the slope of the position-time graph. The curve of the position-time graph is the line with negative slope of $0.55\text{m}/\text{s}$ . The position-time graph is given below,

Figure (1)

The motion diagram of the dog is shown below,

Figure (2)

Conclusion:

Thus, the position-time graph is shown in figure (1) and the motion diagram is shown in the figure (2).