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Free Response Questions: Immaculate answers will earn no points; proceed with caution. 1. While flying from San Francisco to New York with a velocity of 180.0 m/s East, a 757 airliner experiences cross-wind blowing from the Canadian Rockies with velocity of 35.0 m/s South. Determine plane’s velocity vector as a result of this cross-wind. (10 pts) 2. A fisherman is trying to cross a river, which is flowing West. The river currents have speed of 18.0 m/s. Fisherman’s boat has a top speed of 42.0 m/s. If fisherman travels South crossing the river with boat’s top speed, in which direction will he be traveling and what will be his speed? (10 pts) 3. Add the following displacement vectors by using trig function laws (Sine and Cosine) and express the resultant vector DR in unit vector notation. (Angles are measured from positive x-axis) (25 pts) D1 = 27.0 m @ 300 D2 = 9.00 m @ 1500 4. Add the following velocity vectors by using components methods and express the resultant vector VR in standard notation (polar). (Angles are measured from positive x-axis) (25 pts) V1 = 110 m/s @ 200 V2 = 75 m/s @ 750 V3 = 50 m/s @ 1250