college physics
posted by Yvonne on .
In Physics we often use meters per second as the units of velocity, rather than miles per hour. Convert 1 meter per second to miles per hour to get an idea of how these units compare. Please help me by showing me step by step so I can understand it better.

1m/s * 1mile/1609meters * 60sec/min * 60min/hr
1m/s= 3600/1609 miles/hr 
1 mile = 1609.344 meters
1 hour = 3600 seconds
1 mile/hour =
1609.344 meters/(3600 seconds) =
1609.344/3600 meters/second =
0.44704 meter/second
This means that
1 meter /second =
1/(0.44704) miles/hour =
2.236936 miles/hour 
Here are some factors you may need.
There are 60 seconds in 1 minute.
There are 60 minutes in 1 hour.
There are 3.2808 feet in a meter.
There are 5,280 feet in a mile.
Now put all this together. Just remember that the factor must be placed in such a way so as to cancel the unit you don't want to keep and leave the unit you want to keep.
1 m/s x (60 s/1 min) x (60 min/1 hr) x (3.2808 feet/1 m) x (1 mile/5,280 feet)= ??
Note that m in numerator of first term cancels with m in the denominator of fourth term, s in first terms cancels with s in the second term, min in second term cancels with min in third term, feet in fourth term cancels with feet in the fifth term. The only units left are miles in fifth term and hour in the third term. Check my work. You can check your answer by going to google and typing in 1 meter per second to miles per hour and hit the enter key. You should get 2.2369 something mph for the answer if I didn't goof.
Check my thinking. 
What is 29 miles per hour in units of m/s? 1 mile is 5280 feet, 1 meter is 3.3 feet, 1 hour is 60 minutes, and 1 minute is 60 seconds.