The Physics of Air Speed and Ground Speed

This video covers the following topics:
1. What is air speed and what is ground speed of an airplane?
2. How can wind affect the course of an airplane?
3. How can wind affect the fuel consumption of an airplane?
4. How can wind affect the arrival time of an airplane?
5. How is wind speed resolved into its x component and y component?
6. How is air speed resolved into its x component and y component?
7. How is ground speed of an airplane computed?
8. What trigonometry is used to compute air speed and ground speed?
9. What math is used to compute air speed and ground speed?
10. What is a real world use of the Pythagorean theorem?
11. What is a real world use of arc tangent?
12. How do I resolve a velocity into its components?
13. How do I find a resultant velocity.
14. How do I resolve a force into its components?
15. How do I find a resultant force?
16. How do I work with vectors?
17. What is a vector?