Chapter 2, Problem 3STP

To determine

To Choose: The correct option.

Answer to Problem 3STP

B. Section III

Explanation of Solution

Introduction:

The average velocity of a particle is given by,

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

Using the above formula of average velocity, it can be said that the slope of the position versus time graph depicts the velocity of the particle.

The velocity of the particle at point B will be its average velocity during section II. Similarly, the velocity of the particle at point D will be its average velocity during section IV.

It can be observed from the given graph, the magnitude of slope of section III is maximum.

Conclusion:

Hence, the person’s velocity will be greatest in the section III.