A plane is flying on a bearing of 310° at a speed of 320 mi/h. The wind is blowing directly from the east at a speed of 32 mi/h.
a. Make a compass rose and vector to indicate the plane's motion.
b. Write equations that model the plane's motion without the wind.
c. Make a compass rose and vector to indicate the wind's motion.
d. Write equations that model the wind's motion.
e. What are the resulting equations that model the motion of the plane with the wind?
f. Where is the plane after 5 h?