Chapter 2.3, Problem 26SSC

To determine

Whether the given particle model diagram and the position-time graph shown in the given figure, depicts the same motion or not.

Answer to Problem 26SSC

No, they do not depict the same motion.

Explanation of Solution

It is given that the time interval in the particle model diagram is $2.0\text{}\text{s}$ . Thus, as per the particle model diagram, the position of the particle at different times will be approximately,

  $\begin{array}{cc}\text{time(s)}& \text{position(m)}\\ 0& 0\\ 2& 2\\ 4& 4\\ 6& 6\\ 8& 8\\ 10& 10\\ 12& 12\\ 14& 14\end{array}$

However, considering the position versus time graph given, the position of the particle at different times will be:

  $\begin{array}{cc}\text{time(s)}& \text{position(m)}\\ 0& 0\\ 1& 4\\ \begin{array}{l}2\\ 3\end{array}& \begin{array}{l}8\\ 12\end{array}\end{array}$

Conclusion:

Hence, it can be seen from above data, the particle model diagram and the position versus time graph depicts the different motions.