1. An airplane is flying north when a wind begins to blow it toward the east. (a) If the airplane maintains a constant speed, how should it change its heading in order to continue its motion northward? (b) Can the airplane continue its northward motion by changing its speed but not its heading? Explain. 2. A worker is pulling a heavy cart across a floor with a rope making an angle of 60 with the horizontal. as shown below. If the force applied is 60 N, what are the components of force in (a) the horizontal direction; (b) the vertical direction