/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 16 You are driving \(65 \mathrm{mi}... [FREE SOLUTION] | 91影视

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Chapter 1: Problem 16

You are driving \(65 \mathrm{mi} / \mathrm{h}\) and take your eyes off the road for "just a second." What distance (in feet) do you travel in this time?

Short Answer

Expert verified
The vehicle travels approximately 95.333 feet when the driver takes his/her eyes off the road for a second.

Step by step solution

01

Convert speed from mi/h to ft/s

To convert the speed from miles per hour (mi/h) to feet per second (ft/s), we need to multiply it by a conversion factor. We know that 1 mile = 5280 feet and 1 hour = 3600 seconds. Therefore, our conversion factor is \(\frac{5280 \mathrm{ft}}{1 \mathrm{mi}} 脳 \frac{1 \mathrm{hr}}{3600 \mathrm{s}}\). Now, we'll multiply the given speed (65 mi/h) by this conversion factor: \(65 \frac{\mathrm{mi}}{\mathrm{h}} 脳 \frac{5280 \mathrm{ft}}{1 \mathrm{mi}} 脳 \frac{1 \mathrm{hr}}{3600 \mathrm{s}}\).
02

Simplify the expression

After multiplying, we need to simplify the expression: \(65 \frac{\cancel{\mathrm{mi}}}{\cancel{\mathrm{h}}} 脳 \frac{5280 \mathrm{ft}}{\cancel{1 \mathrm{mi}}} 脳 \frac{\cancel{1 \mathrm{hr}}}{3600 \mathrm{s}}\). Now the units are canceled out, and we have: \(65 脳 \frac{5280}{3600} \frac{\mathrm{ft}}{\mathrm{s}}\).
03

Calculate the speed in ft/s

Now we can perform the multiplication to find the speed in feet per second: \(65 脳 \frac{5280}{3600} 鈮� 95.333 \frac{\mathrm{ft}}{\mathrm{s}}\). So, the speed of the vehicle in feet per second is approximately 95.333 ft/s.
04

Calculate the distance traveled in 1 second

Since we have the speed in ft/s and the time (1 second), we can now calculate the distance traveled by multiplying speed by time: Distance = Speed 脳 Time Distance 鈮� 95.333 ft/s 脳 1 s Distance 鈮� 95.333 ft
05

Final answer

The vehicle travels approximately 95.333 feet when the driver takes his/her eyes off the road for a second.

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