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# Problem: Part A. The conversion factor relating miles to meters is 1 mile = 1610 m.The speed of light is 3.00 × 108 m/ s. How fast is this in miles per hour (miles/ h)?Keeping track of units during conversions can get confusing. Therefore, a good strategy is to use dimensional analysis. In dimensional analysis, conversion factors are used to cancel out unwanted units and leave the desired units.Consider the following example: How many football fields could fit on a 1 mile stretch of land? Here are the relevant conversion factors:1 football field = 100 yards1 mile = 5280 ft1 yard = 3 ftThen1 mile×5280 ft1 mil3×1 yard3 ft×1 football field100 yard=17.6 football fields

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###### Problem Details

Part A. The conversion factor relating miles to meters is 1 mile = 1610 m.

The speed of light is 3.00 × 108 m/ s. How fast is this in miles per hour (miles/ h)?

Keeping track of units during conversions can get confusing. Therefore, a good strategy is to use dimensional analysis. In dimensional analysis, conversion factors are used to cancel out unwanted units and leave the desired units.

Consider the following example: How many football fields could fit on a 1 mile stretch of land? Here are the relevant conversion factors:

1 football field = 100 yards
1 mile = 5280 ft
1 yard = 3 ft

Then

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