Chapter 1, Problem 1.83P

(a)

Interpretation Introduction

Interpretation:

The speed of the jogger in $\text{m/s}$ is to be calculated.

Concept introduction:

The conversion of one unit into another can be done using a proper conversion factor. Conversion factors are the ratios that relate the two different units of a quantity. It is also known as dimensional analysis or factor label method.

In the unit conversion problems, the given information is multiplied by the conversion factors to obtain the desired information. The unit conversion can be done as follows:

$\left(\cancel{\text{beginning unit}}\right)\left(\frac{\text{Final unit}}{\cancel{\text{beginning unit}}}\right)=\text{Final unit}$

The conversion factor to convert miles $\left(\text{mi}\right)$ to meters $\left(\text{m}\right)$ is as follows:

$0.62\text{ mi}=1000\text{ m}$ (1)

The conversion factor to convert hours $\left(\text{h}\right)$ to minutes $\left(\text{min}\right)$ is as follows:

$1\text{ h}=60\text{ min}$ (2)

The conversion factor to convert minutes $\left(\text{min}\right)$ to seconds $\left(\text{s}\right)$ is as follows:

$1\text{ min}=60\text{ s}$ (3)

(b)

Interpretation Introduction

Interpretation:

The distance $\left(\text{km}\right)$ covered by the jogger in $98\text{ min}$ is to be calculated.

Concept introduction:

The conversion of one unit into another can be done using a proper conversion factor. Conversion factors are the ratios that relate the two different units of a quantity. It is also known as dimensional analysis or factor label method.

In the unit conversion problems, the given information is multiplied by the conversion factors to obtain the desired information. The unit conversion can be done as follows:

$\left(\cancel{\text{beginning unit}}\right)\left(\frac{\text{Final unit}}{\cancel{\text{beginning unit}}}\right)=\text{Final unit}$

The conversion factor to convert miles $\left(\text{mi}\right)$ to meters $\left(\text{m}\right)$ is as follows:

$0.62\text{ mi}=1\text{ km}$ (4)

The conversion factor to convert hours $\left(\text{h}\right)$ to minutes $\left(\text{min}\right)$ is as follows:

$1\text{ h}=60\text{ min}$

(c)

Interpretation Introduction

Interpretation:

The time after which jogger covers $4.75\times {10}^4\text{ ft}$ distance if she starts a run at $11:15\text{ am}$ is to be calculted.

Concept introduction:

The conversion of one unit into another can be done using a proper conversion factor. Conversion factors are the ratios that relate the two different units of a quantity. It is also known as dimensional analysis or factor label method.

In the unit conversion problems, the given information is multiplied by the conversion factors to obtain the desired information. The unit conversion can be done as follows:

$\left(\cancel{\text{beginning unit}}\right)\left(\frac{\text{Final unit}}{\cancel{\text{beginning unit}}}\right)=\text{Final unit}$

The conversion factor to convert feet $\left(\text{ft}\right)$ to miles $\left(\text{mi}\right)$ is as follows:

$5280\text{ ft}=1\text{ mi}$ (5)