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A golfer takes three putts to sink his ball into the hole. The first putt displaces the ball 8 m north, the second 3 m south-east, and the third 0.2 m south-west. Determine the displacement needed to sink the ball into the hole in one putt. [A=4] A wheel of radius r rolls without slipping along a horizontal floor. At a certain instant, a speck of dust gets caught at the bottom of the wheel. At a later instant, the dust reaches the top of the wheel after having rolled through half a revolution. Determine the magnitude and direction (relative to the floor) of the dust's displacement. [A=4]