Converting meters per second to miles per hour requires the use of dimensional analysis, which is the analysis of quantities and units which are related to and dependent upon other units of measurement. Either distance or time can be converted first.
For the sake of simplicity, the following example converts time instead of distance. Meters per second must first be in fraction form, so that meters is the numerator and seconds is the denominator. Now, this fraction must be multiplied by 60 seconds per one minute. The last conversion for time is multiplying this new value by 60 minutes per one hour. Now, the units are meters per hour.
To convert distance, use the new value of meters per hour and multiply that by one mile per 1609.34 meters. Through dimensional analysis, the units of meters per second are now miles per hour.