Answer:
767.4 miles/hour
Explanation:
To solve this problem, there are two main conversions you need to do. You need to convert from meters to miles and from seconds to hours. To do the conversions, you need to know the conversion factors. In the problem, they give you that 1 mile is equal to 1,609 meters and you likely know that there are 60 seconds in a minute and 60 minutes in an hour. Using this information, we can set up conversion factors that will take us from 343 meters/second to miles/hour. When setting up the problem, you need to make sure that the units that you do not want CANCEL OUT. The units that you want to end up with should not cancel out.
[tex]\frac{343 meters}{1 second}[/tex] × [tex]\frac{1 mile}{1609 meters}[/tex] × [tex]\frac{60 seconds}{1 minute}[/tex] × [tex]\frac{60 minutes }{1 hour}[/tex] = 767.4 miles/hour
Hope this helps!
