1. Vectors & Projectile Motion

2. Motion is Relative ► Frame of Reference - perspective from which you observe

3. Truck at Rest If the ball is thrown at 60 km/h relative to the truck, at what velocity will the person catch the ball at?

4. Truck Moving Away ► ► If the ball is thrown at 60 km/h west relative to the truck and the truck moves at 40 km/h east relative to the catcher, at what velocity will the person catch the ball at?

5. Truck Moves Towards ► ► If the ball is thrown at 60 km/h west relative to the truck and the truck moves at 40 km/h west relative to the catcher, at what velocity will the person catch the ball at?

6. ► Scalar - measurement of magnitude only  Ex) mass, volume, speed ► Vector - measurements with both magnitude and direction  Ex) velocity, acceleration, force

7. arrowhead = direction length of arrow = magnitude Vectors

8. Vector addition

9. Resultant – sum of vectors

10. Pythagorean Theorem a 2 + b 2 = c 2 a 2 + b 2 = c 2

11. ► c 2 = a 2 + b 2 ► c 2 = 80 2 + 60 2 ► c 2 = 6400 + 3600 ► √c 2 = √10,000 ► c = 100 km/hr

12. EX) What is the resultant vector for 4 km/hr north and 3 km/hr east? ► c 2 = a 2 + b 2 ► c 2 = 4 2 + 3 2 ► c 2 = 16 + 9 ► c 2 = 25 ► c = 5 km/h

13. ► Boat crossing river animation… http://www.schulphysik.de/suren/Applets.htm l http://www.schulphysik.de/suren/Applets.htm l

14. Vector addition ► Pythagorean Theorem - ► Parallelograms - ► Head-to-tail method - ► Trigonometry -

15. Vector Addition http://www.phy.ntnu.edu.tw/ntnujava/index.php?topic=51 http://www.phy.ntnu.edu.tw/ntnujava/index.php?topic=51

16. What is the vertical and horizontal component of a vector? http://www.batesville.k12.in.us/Physics/APPhyNet/Vectors/Hor_&_Vert_Comps.html

17. SOH-CAH-TOA

18. Ex) What are the horizontal and vertical components of the following vector?

19. Projectile Motion Projectile – an object moving through air affected by gravity Projectile – an object moving through air affected by gravity

20. Projectile Demos ► Shooter/ Dropper ► Monkey and Hunter

21. Projectile Motion Horizontal and vertical motion act independently Horizontal and vertical motion act independently

23. How fast is the ball thrown?

24. ► Vertical ► d=.5at 2 ► 5 =.5(10)t 2 ► t= 1 second ► Horizontal ► v= d/t ► v= 20m/1s ► v= 20 m/s The ball is thrown at 20 m/s!

25. What angle should a ball be kicked to get the farthest? Upwardly-Moving Projectiles

26. Projectiles launched at the same speed but different angles.

27. Shot Put - 45º is not the ideal angle, why? You are already off the ground 1-2 meters.

28. 45º is not the ideal angle for high speed projectiles either. Why? 45º is not the ideal angle for high speed projectiles either. Why? Air resistance must be considered.

29. Fast Moving Projectiles ► What would happen if you threw a ball so fast that the curvature of the earth came into play?

30. Fast Moving Projectiles ► Satellite- a projectile traveling fast enough to fall around the earth rather than into ► To stay in orbit around the earth, a satellite needs to travel at 8 km/s!

31. Hang Time

33. This type of problem is more difficult… ► http://physicsquest.homestead.com/quest3n.html http://physicsquest.homestead.com/quest3n.html ► http://www.mesacc.edu/~scotz47781/mat120/notes/proje ctile_motion/projectile_motion.html http://www.mesacc.edu/~scotz47781/mat120/notes/proje ctile_motion/projectile_motion.html http://www.mesacc.edu/~scotz47781/mat120/notes/proje ctile_motion/projectile_motion.html