The fastest commercial airline service is 1450 mi / h. Find the speed in kmh^-1 and ms^-1. (A) 1

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The fastest commercial airline service is 1450 mi / h. Find...

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

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

Key Concepts

Unit Conversion

Unit conversion involves the process of converting a measurement expressed in one set of units to another, using conversion factors. In this context, converting speeds from miles per hour to kilometers per hour and meters per second requires multiplying by factors that appropriately change both the distance and time units.

Conversion Factors

Conversion factors are numerical values used to relate one unit of measure to another. For example, converting miles to kilometers uses the conversion factor of approximately 1.60934 km per mile, and converting hours to seconds employs the factor that 1 hour equals 3600 seconds. These factors ensure that the physical quantity remains consistent regardless of the units used.

Dimensional Analysis

Dimensional analysis is a method used to perform unit conversions by multiplying by conversion factors in a way that cancels out unwanted units, leaving only the desired ones. This systematic approach is essential for ensuring that the resulting calculation is both accurate and dimensionally consistent.

Precision and Rounding

Precision and rounding are important considerations during conversions, especially when using non-exact numbers. Choosing the level of precision affects the final rounded result, which is crucial in contexts like multiple-choice questions where approximate values are compared.

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