3. A small plane piloted by Captain Berthiaume is heading north at 180 km/h. Its altitude is 2700m. a) Draw a labelled scale vector diagram of the effects of a 90 km/h wind from the west. Include the resultant in your diagram. b) Determine the ground velocity of the airplane. c) The airplane descends to 2000m over a period of 2 min, still flying at the same ground speed. What is the horizontal component of the change in displacement? d) The airplane then enters turbulent air, which is falling at 30km/h. The turbulence does not affect the ground speed of the airplane. What is the airplane's resultant velocity (using both quadrant bearing and descent angle)? e) Shortly thereafter, the airplane has resumed its altitude of 2700m and the heading of north at 180 km/h. It then enters more turbulent air. The air mass is moving upward at 20km/h and moving N30 W at 60 km/h, while the plane maintains its airspeed. Determine the vectors that represent the turbulent air and the resultant ground speed. [Please include a non scale diagram]