Chapter 5, Problem 77A

Interpretation Introduction

Interpretation : The passenger who travelling in a car at a given speed, then the number feet travelled in one second should be calculated.

Concept Introduction :

The conversion factor is a numeric ratio which used to prove a measurement in one unit as another unit which is always equal to one.

Answer to Problem 77A

The passenger covers $\text{80}\text{.6}\text{feet}$ in one second.

Explanation of Solution

Given information :

The speed of the car is, $v=\text{55mph=55}\text{mile}\text{per}\text{hour}$

  $\text{1}\text{mile}\text{=5280}\text{feet}$

The given speed is 55 miles per hour which means that, the passenger travels 55 miles in 3600 seconds. While 1 mile contains 5280 feet. Therefore, the passenger covers $\left(5280\times 55\right)$ feet in 3600 seconds.

The passengers cover distance in one feet is,

  $\begin{array}{l}\text{3600}\text{second}\text{=290400feet}\\ \text{1}\text{second}\text{=}\frac{\text{290400}}{\text{3600}}\text{=80}\text{.6}\text{feet}\end{array}$

Conclusion

The passenger covers $\text{80}\text{.6}\text{feet}$ .