1. Determine the resultant of each vector sum. a) 34 km/h east and then 15 km/h north b) 100 m/s south and then 50 m/s west c) 45 km/h vertically and then 75 km/h horizontally d) 3.6 m/s horizontally and then 2.3 m/s vertically e) 10 N at 045 and then 8 N at 068 f) 1200 N at 120 and then 1100 N at 300 g) 300 m east and then 400 m northeast h) 15 m/s2 at 80 above the horizontal and then gravitational acceleration of 9.8 m/s2 2. An airplane is flying at 550 km/h on a heading of 080. The wind is blowing at 60 km/h from a bearing of 120. a) Draw a vector diagram of this situation. b) Find the ground velocity of the airplane.4. A box weighing 450 N is hanging from two chains attached to an overhead beam at angles of 70 and 78 to the horizontal. a} Draw a vector diagram of this situation. b} Determine the tensions in the chains. 5. Nancy is a pilot in Canada's North. She needs to deliver emergency supplies to a location that is 500 km away. Nancy has set the aircraft's velocity to 270 km/h on a northbound heading. The wind velocity is 45 km/h from the east. a) Determine the resultant ground velocity of the aircraft. b) Will Nancy be able to make the delivery within 2 h, at this ground velocity? Justify your response.7. A rocket is fired at a velocity with initial horizontal component 510 m/s and vertical component 755 m/s. a) Draw a vector diagram of this situation. b) What is the ground velocity of the rocket? 8. A small aircraft, on a heading of 225, is cruising at 150 km/h. It is encountering a wind blowing from a bearing of 3150 at 35 km/h. a) Draw a vector diagram of this situation. b) Determine the aircraft's ground velocity. 9. A cruise ship's captain Reasoning and Proving sets the ship's velocity Representing Selecting Tools to be 26 knots at a Problem Solving heading of 080. The Connecting Reflecting current is flowing Communicating toward a bearing of 153 at a speed of 8 knots. a) Draw a vector diagram of this situation. b) What is the ground velocity of the cruise ship