Chapter 2.4, Problem 37SSC

To determine

The way in which the object’s velocity is related to its position

Answer to Problem 37SSC

The object’s velocity is directly proportional to the change in its position.

Explanation of Solution

Introduction:

The average velocity of a particle is given by

  $\overline{v}=\frac{\Delta d}{\Delta t}=\frac{d_{final}-d_{initial}}{t_{final}-t_{initial}}$

Consider the above formula of average velocity, it is the change in the position of a particle with respect to the change in time. Thus, the object’s velocity is directly proportional to the change in its position.

Conclusion:

The object’s velocity is given by the change in its position with respect to the change in the time.