northeast
Source: Iran 2005
September 21, 2005
rotationlimitgeometry proposedgeometry
Problem Statement
An airplane wants to go from a point on the equator, and at each moment it will go to the northeast with speed . Suppose the radius of earth is .
a) Will the airplane reach to the north pole? If yes how long it will take to reach the north pole?
b) Will the airplne rotate finitely many times around the north pole? If yes how many times?