A particle travels at a very highspeed of 1.998x10^8 meters per second. What is the speed in terms of miles per minute.

Answer 1

7449016.37 miles per minute.

There are 1609.34 meters in one mile, so we divide 1.998*10^8 by 1609.34. There are 60 seconds in 1 minute, so we multiply the result by 60 to have the units "miles per minute".

The units "meters" and "seconds" cancel out:

(1.998*10^8 meters/second)(1 mile/1609.34 meters)(60 seconds/1 min)= 7449016.37 miles per minute