Chapter 2, Problem 59A

To determine

The rank of the cows with respect to their average velocity, from slowest to fastest (increasing order).

Answer to Problem 59A

The rank of cows in the increasing order of their average velocity is M, D, B, and E.

Explanation of Solution

Given:

The position versus time graph of the four cows E, B, M, and D is shown.

Formula used:

The expression for the average velocity $\left(\overline{v}\right)$ of the cows is as follows:

  $\overline{v}=\frac{\Delta x}{\Delta t}$

Here, $\Delta x$ represents the change in position of cows (measured along vertical axis) and $\Delta t$ represents the time interval (measured along horizontal axis).

The slope of the position versus time graph of the cows represents the average velocity of the cows.

Calculation:

From the expression of average velocity $\left(\overline{v}\right)$ of the cows, the average velocity $\left(\overline{v}\right)$ increases with the increase in the slope of its position versus time graph.

Steeper the slope of the position versus time graph of the cow, higher will be the average velocity $\left(\overline{v}\right)$ of the cow.

The slope of the position versus time graph increases in the order M, D, B, and E.

Conclusion:

Thus, the list of cows in the increasing order of their average velocity is M, D, B, and E.