Chapter SH, Problem 3.19EP

a.

To determine

To find the rate of change of wind speed between 6 A.M and 8 A.M.

Answer to Problem 3.19EP

The wind speed is 5.

Explanation of Solution

Given information:

The graph is

  

Formula used:

  $\Delta y=y_1-y_0$

where,

  $\Delta y$ is rate of change in y

Calculation:

Wind speed at 6 AM, $y_0=5$

Wind speed at 8 AM, $y_1=10$

Substituting $y_0$ and $y_1$ in the formula to calculate the wind speed between 6 A.M and 8 A.M.

  $\Delta y=10-5$

So,

  $\Delta y=5$

b.

To determine

To find the greater change in wind speed.

Answer to Problem 3.19EP

Graph shows greater change in wind speed between 8 A.M and 10 A.M. and wind speed is 10.

Explanation of Solution

Given information:

The graph is

  

Formula used:

  $\Delta y=y_1-y_0$

where,

  $\Delta y$ is rate of change in y

Calculation:

Graph shows greater change in wind speed between 8 A.M and 10 A.M. Wind speed at 8 AM, $y_0=10$

Wind speed at 10 AM, $y_1=20$

Substituting $y_0$ and $y_1$ in the formula to calculate the wind speed between 8 A.M and 10 A.M.

  $\Delta y=20-10$

So,

  $\Delta y=10$

c.

To determine

To explain a storm came through at some point during the day.

Answer to Problem 3.19EP

Graph shows wind speed at 10 A.M., 12 P.M and 2 P.M wind speed is 20.

These are points at which storm came.

Explanation of Solution

Given information:

The graph is

  

Explaination:

Wind speed at 10 AM is 20

Wind speed at 12 PM is 20

Wind speed at 2 PM is 20

Graph shows greater wind speed at 10 AM, 12 PM, and 2PM

Hence, these are points at which storm came.