Make sure to include detailed diagrams.

1. A plane that can fly at 475 km/h heads South on a day when the wind blows at 155 km/h from the East. (Note: at a fixed altitude). a. Calculate the velocity of the plane with respect to the ground. (Diagram!) (5) b. What heading would the plane need to follow to end up due South of its starting point? (Diagram!) (3) c. How long would it take the plane to travel the resultant displacement from part b? (The straight South displacement is 5455 km [S]) (4)