I have some questions regarding a couple of questions on an important homework assignment, and because my instructor hastily finished her lecture on vectors at the end of class, I'm really confused on two word problems (applications).
If someone could help me visualize/setup the problem, and guide me with solving it I would greatly appreciate it. Particuarily the 2nd one I am having the most difficulty conceptualizing.
"A plane has an airspeed of 245 mph and a bearing of N 40 degrees E. The air currents are moving at a constant speed of 32.5 mph in the direction of S 50 degrees E. Find the ground speed and the actual course of the plane."
"John and his sister Kathy have attached a rope to the branch of a tree and tied a board to the other to form a swing. John sits on the board while Kathy pushes him through an angle of 23.4 degrees and holds him there. If John weighs 97.5 pounds, find the magnitude of the force Kathy must push him horizontally to keep John in static equilibrium."
Let me know if clarification is needed on any of these.
Thanks in advance for the help!