/*! 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 68 The fastest commercial airline s... [FREE SOLUTION] | 91影视

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Chapter 1: Problem 68

The fastest commercial airline service is \(1450 \mathrm{mi} / \mathrm{h}\). Find the speed in \(\mathrm{kmh}^{-1}\) and \(\mathrm{ms}^{-1}\). (A) \(1938 \mathrm{kmh}^{-1}, 618.3 \mathrm{~ms}^{-1}\) (B) \(2030 \mathrm{kmh}^{-1}, 623.1 \mathrm{~ms}^{-1}\) (C) \(2334 \mathrm{kmh}^{-1}, 647.5 \mathrm{~ms}^{-1}\) (D) None

Short Answer

Expert verified
The short answer is: (C) \(2334 \mathrm{kmh}^{-1}, 647.5 \mathrm{~ms}^{-1}\).

Step by step solution

01

Convert speed from mi/h to kmh鈦宦�

To convert the speed from mi/h to kmh鈦宦�, we can use the conversion factor: 1 mi = 1.60934 km So, we can set up the following conversion: \(1450 \mathrm{mi/h} * \frac{1.60934 \mathrm{km}}{1 \mathrm{mi}}\) Now, do the math: \(1450 * 1.60934 = 2334.093\) After rounding to the nearest whole number, we have: \(2334 \mathrm{~kmh}^{-1}\)
02

Convert speed from kmh鈦宦� to ms鈦宦�

Next, we need to convert the speed from kmh鈦宦� to ms鈦宦�. To do this, we will use the following conversion factors: 1 km = 1000 m 1 h = 3600 s So, we can set up the following conversion: \(2334 \mathrm{~kmh}^{-1} * \frac{1000 \mathrm{m}}{1 \mathrm{km}} * \frac{1 \mathrm{h}}{3600 \mathrm{s}}\) Now, do the math: \(2334 * 1000 / 3600 = 647.22\) After rounding to one decimal place, we have: \(647.5 \mathrm{~ms}^{-1}\)
03

Compare the result with the given options

The converted speeds are 2334 kmh鈦宦� and 647.5 ms鈦宦�. Comparing these with the given options: (A) \(1938 \mathrm{kmh}^{-1}, 618.3 \mathrm{~ms}^{-1}\) (B) \(2030 \mathrm{kmh}^{-1}, 623.1 \mathrm{~ms}^{-1}\) (C) \(2334 \mathrm{kmh}^{-1}, 647.5 \mathrm{~ms}^{-1}\) We can see that our calculated speeds match with option (C). Therefore, the correct answer is: (C) \(2334 \mathrm{kmh}^{-1}, 647.5 \mathrm{~ms}^{-1}\)

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