2. An airplane is traveling with a speed and heading such that its distance to the south is increasing at a rate of 300 mph and its distance to the east is increasing at a rate of 200 mph. The airplane then encounters a 45 mph wind blowing steadily directly west. a. Represent the speed vectors for the airplane and the wind in component form. Assume that the positive horizontal axis points east and the positive vertical axis points north. b. Draw the vectors you defined in part (a) in a head-to-tail configuration. . What is the resultant speed vector of the airplane under the effects of the wind (assuming the pilot does not correct his course)