Answer 1-7, round ALL answers to nearest hundredth

1. A ship travels 200 km west from port and then 240 km due south before it is disabled. a. Illustrate this with a vector diagram. b. Use trigonometry to find the distance and the course that a rescue ship must take from port in order to reach the disabled ship. 2. An airplane is heading east at 400 knots. The plane encounters a wind velocity of 50 knots blowing toward the northeast. Determine the resultant speed and direction of the airplane. 3. Suppose you are moving a heavy box across a floor by pulling on a rope attached near the bottom of the front of the box. a. If you pull with a force of 80lb at an angle of 309, which component will move the box across the floor (horizontal/vertical)? b. What is the magnitude of this component? c. Would it be easier to move the box if the angle were smaller? 4. At the U.S. National Hot-Air Balloon Championships, a hot-air balloon rose at a rate of 2m/s and was blown horizontally by a wind of 3m/s. a. Draw a vector representing the resulting velocity of the balloon. b. Find the resultant speed of the hot-air balloon. 5. Two players kick a soccer ball at exactly the same moment. One player's foot exerts a force of 66 N (newtons) due north. The other player's foot exerts a force of 86 N due east a. What is the magnitude of the resulting force upon the ball? b. What is the direction of the resulting force upon the ball? 6. In the 1992 Winter Olympic trials, Hershel Walker pushed the USA bobsled with a force of 110n at an angle of 42. with the horizontal. Find the horizontal and vertical components of the force. 7. A plane flies at an angle of 340 from due east at 250mph at the same time a wind gusts towards the northwest at 50mph. The wind changes the flight pattern; determine the resulting speed and direction of the airplane