1 mile is 1609.344 meters.
1 hour is 3600 seconds.
60 miles is (60 * 1609.344 =) 96561 meters.
Therefore 60 miles per hour is 96561 meters per 3600 seconds.
After simplyfying (dividing both by 3600):
60 mph = 26.82 m/s
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1 mile per hour = 0.44704 meters per second.
66.6 mph = 29.77 meters per second.
(35 mile/hour) x (1,609.344 meters/mile) / (3,600 second/hour) = 15.646 meter/sec (rounded)
Meters per hour x 0.000621 = miles per hour.
1 mph = 0.44704 meters per second so just multiply miles by 0.44704 to get meters per second: 30mph x 0.44704 = 13.4112 meters per second.