Chapter 8.1, Problem 13CFU

a.

To determine

To draw:a labelled diagram of the situation.

Explanation of Solution

Given information:

Velocity of airplane flying due west $=10\text{ m/s}$

Velocity of wind blowing out of south $=5\text{ m/s}$

Calculation:

The diagram for the given situation is as follows:

b.

To determine

To find:the magnitude of airplane’s resultant velocity.

Answer to Problem 13CFU

  $100.125\text{ m}$

Explanation of Solution

Given information:

Velocity of airplane flying due west $=10\text{ m/s}$

Velocity of wind blowing out of south $=5\text{ m/s}$

The diagram for the given situation is as follows:

Calculation:

The magnitude of airplane’s resultant velocity can be evaluated as follows:

  $\begin{array}{c}\left|\overrightarrow{r}\right|=\sqrt{{100}^2+5^2}\left[\text{Using Pythagoras Theorem}\right]\\ =5\sqrt{401}\\ =100.125\text{ m}\end{array}$

Thus, the magnitude of airplane’s resultant velocity is $100.125\text{ m}$ .