monday, 9/30 unit 3: two dimensional motion. introduction to vectors
DESCRIPTION
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…TRANSCRIPT
![Page 1: Monday, 9/30 Unit 3: Two dimensional motion. Introduction to vectors](https://reader033.vdocuments.us/reader033/viewer/2022051320/5a4d1b6e7f8b9ab0599b4ab4/html5/thumbnails/1.jpg)
Monday, 9/30Unit 3: Two dimensional motion.Introduction to vectors
![Page 2: Monday, 9/30 Unit 3: Two dimensional motion. Introduction to vectors](https://reader033.vdocuments.us/reader033/viewer/2022051320/5a4d1b6e7f8b9ab0599b4ab4/html5/thumbnails/2.jpg)
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?
![Page 3: Monday, 9/30 Unit 3: Two dimensional motion. Introduction to vectors](https://reader033.vdocuments.us/reader033/viewer/2022051320/5a4d1b6e7f8b9ab0599b4ab4/html5/thumbnails/3.jpg)
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…
![Page 4: Monday, 9/30 Unit 3: Two dimensional motion. Introduction to vectors](https://reader033.vdocuments.us/reader033/viewer/2022051320/5a4d1b6e7f8b9ab0599b4ab4/html5/thumbnails/4.jpg)
Important terms
Displacement•Distance is its magnitude•Has directionVelocity
• Speed is its magnitude• Has direction
![Page 5: Monday, 9/30 Unit 3: Two dimensional motion. Introduction to vectors](https://reader033.vdocuments.us/reader033/viewer/2022051320/5a4d1b6e7f8b9ab0599b4ab4/html5/thumbnails/5.jpg)
Vector ExampleAn 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?
![Page 6: Monday, 9/30 Unit 3: Two dimensional motion. Introduction to vectors](https://reader033.vdocuments.us/reader033/viewer/2022051320/5a4d1b6e7f8b9ab0599b4ab4/html5/thumbnails/6.jpg)
Vector ExampleAn 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?
![Page 7: Monday, 9/30 Unit 3: Two dimensional motion. Introduction to vectors](https://reader033.vdocuments.us/reader033/viewer/2022051320/5a4d1b6e7f8b9ab0599b4ab4/html5/thumbnails/7.jpg)
How would you approach this problem?A boy walks 9.0 km north and then 6.5 km east?
![Page 8: Monday, 9/30 Unit 3: Two dimensional motion. Introduction to vectors](https://reader033.vdocuments.us/reader033/viewer/2022051320/5a4d1b6e7f8b9ab0599b4ab4/html5/thumbnails/8.jpg)
Where we’re going…2D MotionUse 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.
![Page 9: Monday, 9/30 Unit 3: Two dimensional motion. Introduction to vectors](https://reader033.vdocuments.us/reader033/viewer/2022051320/5a4d1b6e7f8b9ab0599b4ab4/html5/thumbnails/9.jpg)
Visual of new termsResultant
X Component
Y Component
![Page 10: Monday, 9/30 Unit 3: Two dimensional motion. Introduction to vectors](https://reader033.vdocuments.us/reader033/viewer/2022051320/5a4d1b6e7f8b9ab0599b4ab4/html5/thumbnails/10.jpg)
Apples and Oranges
• velocity + velocityacceleration + accelerationdisplacement + displacement
OK
• velocity + acceleration: NO!
• When adding vectors they must represent the same motion
![Page 11: Monday, 9/30 Unit 3: Two dimensional motion. Introduction to vectors](https://reader033.vdocuments.us/reader033/viewer/2022051320/5a4d1b6e7f8b9ab0599b4ab4/html5/thumbnails/11.jpg)
Adding Vectors – head to tail method1. Start with a bold dot2. Draw the longest vector first3. Draw the next vector head to tail4. Draw the resultant from the big dot to
the last arrow head.5. Measure the resultant (graphically,
measured, or calculated).
![Page 12: Monday, 9/30 Unit 3: Two dimensional motion. Introduction to vectors](https://reader033.vdocuments.us/reader033/viewer/2022051320/5a4d1b6e7f8b9ab0599b4ab4/html5/thumbnails/12.jpg)
Adding vectors
A
C B
A + B = C
A
B
![Page 13: Monday, 9/30 Unit 3: Two dimensional motion. Introduction to vectors](https://reader033.vdocuments.us/reader033/viewer/2022051320/5a4d1b6e7f8b9ab0599b4ab4/html5/thumbnails/13.jpg)
Given the same vector components will the magnitude of the resultant change?
![Page 14: Monday, 9/30 Unit 3: Two dimensional motion. Introduction to vectors](https://reader033.vdocuments.us/reader033/viewer/2022051320/5a4d1b6e7f8b9ab0599b4ab4/html5/thumbnails/14.jpg)
How would you approach this problem now?A boy walks 9.0 km north and then 6.5 km east?