A plane is capable of flying 180 km/h in still air. The pilot, takes off from an airfield and heads due north according to the plane's compass. After 30 minutes of flight time, Captain notices that, due to the wind, the plane has actually travelled 80 km at an angle of N5°E. (You may assume that the wind velocity remains constant through the entire question.) a) What is the wind velocity? b) In what direction should the pilot have headed to reach the intended destination (due North) ○ ) If the original destination was 300km due N from her original starting point, what heading should Captain take now to adjust for the oversight and reach her destination?

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Projectile Motion