1. Monday, 9/30 Unit 3: Two dimensional motion. Introduction to vectors

2. Monday, 9/30 On a sheet of paper respond to the following: 1. What does a pilot need to know when they are flying from Dallas to Chicago? 2. What does a baseball player need to do in order to be safe (any base)? 3. What does a volleyball player need to do when serving a ball?

3. Where we’ve been  We have studied motion going horizontally and vertically.  We have been able to describe an objects motion using graphs, diagrams, words, and numbers.  Let’s review…

4. Important terms  Displacement Distance is its magnitude Has direction  Velocity Speed is its magnitude Has direction

5. Vector Example An Airplane flies east at a velocity of 120 km/h. There is a 30 km/h tailwind. What is the total velocity of the plane?

6. Vector Example An Airplane flies east at a velocity of 120 km/h. There is a 30 km/h headwind. What is the total velocity of the plane?

7. How would you approach this problem? A boy walks 9.0 km north and then 6.5 km east?

8. Where we’re going…2D Motion Use vectors to describe motion of an object that is traveling in both the x and y direction.  Vector components  Two or more vectors acting on the same point.  Resultant  One vector having the same effect as the combined components.

9. Visual of new terms Resultant X Component Y Component

10. Apples and Oranges velocity + velocity acceleration + acceleration displacement + displacement OK velocity + acceleration: NO! When adding vectors they must represent the same motion

11. Adding Vectors – head to tail method 1. Start with a bold dot 2. Draw the longest vector first 3. Draw the next vector head to tail 4. Draw the resultant from the big dot to the last arrow head. 5. Measure the resultant (graphically, measured, or calculated).

12. Adding vectors A C B A + B = C A B

13. Given the same vector components will the magnitude of the resultant change?

14. How would you approach this problem now? A boy walks 9.0 km north and then 6.5 km east?