Question 1190375
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1 revolution = 1 minute ---> angular speed is 1 rpm
45 seconds = 45/60 = 3/4 of a minute


I recommend drawing out an xy grid.


Place (0,1) on the grid. 
I'm assuming the center of rotation is the origin.
If so, then 3/4 of a full turn means we rotate from (0,1) to (-1,0) to (0,-1) then finally to (1,0). 
This is if we move counterclockwise.
The angle of rotation is (3/4)*360 = 270 degrees.


That corresponds to the compass positions of North, West, South, and East in that order.


North = (0,1)
West = (-1,0)
South = (0,-1)
East = (1,0)


Answer: (1,0)
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