1. Air traffic controllers give instructions called "vectors" to tell airline pilots in which direction they are to fly. If these are the only instructions given, is the name "vector" used correctly? Why or why not? Explain. 2. A ship leaves the island of Guam and sails 285 km at 62.0 North of West. In which direction must it now head and how far must it sail so that its resultant displacement will be 115 km directly East of Guam? Express your answer with 3 significant figures. 3. A bullet fired in space is traveling in a straight line and its equation of motion is x (t) = 12. 0 m. +(4.00 m/s)t + (6.00#2 ) t2. What is the instantaneous velocity of the bullet at t = 12.0 s.? Express your answer with 3 significant figures. 4. The human body can survive an acceleration trauma incident (sudden stop) if the magnitude of the acceleration is less than 250.0 m/s'. If you are in an automobile accident with an initial speed of 105 km/h (29.17 m/s) and are stopped by an airbag that inflates from the dashboard, over what distance must the airbag stop you for you to survive the crash? Express your answer with 4 significant figures. 5. A lunar lander is making its descent to Moon Base I (see figure below). The lander descends slowly under the retro-thrust of its descent engine. The engine is cut off when the lander is 5.00 m above the surface and has a downward speed of 0.800 m/s. With the engine off, the lander is in free fall. What is the speed of the lander just before it touches the surface? The acceleration due to gravity on the moon is -1.60 m/s'. Express your answer with 3 significant figures. 6. Peter, Niki, Allen, and Sam are playing tug-of-war with a rope. Sam is pulling with 160.0-N directed at 60.0' South of East. Allen pulls with 200.0-N directed at 55.0' East of North. And Niki pulls with 140.0-N directed at 30.0" South of West. How much force and in what direction must Peter pull so that she balances out the resultant of the other 3 forces and the handkerchief will not move in any direction? Express your answer with 3 significant figures