Use mathematical induction to prove that the statement is true for every positive integer n.
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The conversions factors needed are 1 mile= 5280 feet and 1 hour = 3600 seconds, speed in ft/s = 14.67 ft/s
<u>Solution: </u>
Given, A runner is running 10 miles per hour.
We have to find what conversion factors should be used to convert 10 mi/hr to ft/s?
Now, speed of runner = 10 miles per hour.
But we need the units to be in ft / s.
Then, conversion factors are miles to feet and hours to seconds.
Now, miles to feet ⇒ 1 mile = 5280 feet.
Now, hours to seconds ⇒ 1 hour = 3600 seconds
Hence, the conversions needed are 1 mile = 5280 feet and 1 hour = 3600 seconds, speed in ft/s = 14.67 ft/s