We are given
Archie completed the 0.33 meter course in 2 minutes
total distance is 0.33 meter
so,

total time is 2 minutes
Firstly, we will change it into seconds
so,

seconds
now, we can find speed

now, we can plug values
and we get

meters per seconds
so, Archie's average rate of speed, in meters per second is 0.00275 meters per seconds............Answer