For this problem, you can think of the jet stream as a river of air. Across the United States, the jet stream usuallymoves from west to east. We will assume that the jet stream is moving in its usual direction at 9.00 x 101 km/hr. On aparticular day, you need to pilot a plane from one city to another that is 4.50 x 102 km directly to the south. The topspeed of the aircraft in still air is 285 km/hr.(a) Make a sketch to represent what is happening in this problem. Label all quantities that you know.(b) Using cardinal directions (north, east, south, west) to give a heading, which direction should you aim the plane toreach the city directly to the south at top speed?(c) How fast (in km/hr) would you be moving relative to the ground?(c) How much time (in hr) will it take you to reach your destination?

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