2. VECTORS AND PROJECTILE MOTION

3. How fast will the plane go if it has a crosswind of 20m/s? We need to use vectors!!!!!!!

5. Terms to Know: Resultant Vector Component Vector  X-Component  Y-Component

6. 2 Mathematical Tools: Pythagorean Theorem a 2 + b 2 = c 2 SOH-CAH-TOA

7. A Trojan walks 45.0 m north, then turns and walks 7.5 m east. What was the Trojan’s displacement? (magnitude and direction) 45.6 m at 9.5 ° east of north

8. Ebony passes a soccer ball 6.0 m directly across the field to Amber, who then kicks the ball 14.5 m directly down the field to Duane. What is the ball’s total displacement? (magnitude and direction) 15.7 m at 22 ° from the sideline

9. Find the component velocities of a helicopter traveling 95 km/hr at an angle of 35 ° to the ground. v x = 78 km/hr ; v y = 54 km/hr

10. A superhero flies 125 meters down from the top of a tall building at an angle of 25 ° below the horizontal. Find the horizontal and vertical components of his displacement vector. x = 110. m ; y = -53 m

11. A truck drives up a hill with a 15 ° incline. If the truck has a constant speed of 22 m/s, what are the horizontal and vertical components of the truck’s velocity? v x = 21 m/s ; v y = 5.7 m/s

12. TRAJECTORY the path a projectile takes

13. The motion of a projectile is described by: Position Velocity Acceleration

14. PROJECTILE any launched object

15. Types of Projectiles

16. All 2-D projectiles follow a parabolic trajectory.

17. FEED THE MONKEY!!!

18. Throw at the monkey without gravity.

19. Throw above the monkey with “gravity on”.

20. Throw at the monkey at a fast speed with “gravity on”.

21. Throw at the monkey at a slow speed with “gravity on”.

23. Independence of x and y motion!

24. Now we must sign our “Declaration of Independence”

25. TAKE HOME MESSAGE Motion in the x-direction is independent of motion in the y-direction!!!

26. True or False? The velocity of a projectile at its highest point is zero.

27. Based on your reading, at what angle should you launch your rockets to get maximum range?

28. If a ball is tossed up with a velocity of 10 m/s, what will be its velocity when it returns back to your hand?

29. At what point in a trajectory will a projectile have a maximum height?

32. A plane flies horizontally at 50.0 m/s. If the plane is 54.0 m above the ground, how far will the package travel horizontally before it hits the ground? 166 m

33. A cat chases a mouse across a 1.0 m high table. The mouse steps out of the way, and the cat slides off the table at a speed of 5.0 m/s. Where does the cat strike the floor? 2.3 m from the table

34. A pelican flying along a horizontal path drops a fish from a height of 5.4 m while traveling 5.0 m/s. How far does the fish travel horizontally before it hits the water below? 5.0 m