Enter your Name:   Enter your E-mail Address:  Be sure to write all your answers with the proper number of significant figures and to list the units that go with your answers! For Problems 1 - 7, consider the three vectors below: 01. Which has the largest magnitude? 02. Which has the largest angle? 03. If an airplane is traveling southeast, which vector would be most likely to represent its velocity? 04. If A is the acceleration of an object and B is its velocity, would the object be speeding up or slowing down? 05. Graphically add vectors A and C. 06. Draw the vector that would represent -C. 07. Graphically subtract vector C from vector B. 08. Why do we graphically add and subtract vectors when we can analytically do so? 09. An airplane is flying in a northeasterly wind as shown below. Draw the vector that represents the velocity which the pilot should maintain so that the airplane can arrive at the airport due east of its present location: 10. Vector A has a magnitude of 3.2 m and a direction of 15 degrees. What are its x- and y- components? 11. The velocity vector of a bike has an x-component of 1.7 m/sec and a y-component of -1.1 m/sec. What are the magnitude and direction of the velocity vector? 12. Vector A has a magnitude of 31.1 m at an angle of 60.0 degrees, and vector B has a magnitude of 11.4 m at an angle of 290.0 degrees. What is the sum of these two vectors? 13. A hiker travels 1.8 miles with a heading of 150.0 degrees and then 3.2 miles at a heading of 350.0 degrees. What is the scout's final displacement relative to his starting point? 14. A boat travels across a wide river. If the boat can travel at a speed of 15 mph and its pilot heads in a direction of 130.0 degrees, while the current's velocity is 2.1 mph at a heading of 200.0 degrees, what will be the final velocity of the boat? 15. A plane heads due north at a speed of 200.0 mph. If the wind's velocity is southeast (315°) at 15.0 mph, what will be the actual velocity of the plane?