chapter 3 review two-dimensional motion. essential question(s): how can we describe the motion of...
DESCRIPTION
Upcoming Schedule Today: Vectors and Trigonometry Tomorrow: Projectile and Relative Motion Monday: Newton’s Laws Tuesday: 4.4 Everyday Forces (friction and inclined planes!) Wednesday: Last day of review! Thursday: Semester Exam.TRANSCRIPT
![Page 1: Chapter 3 Review Two-Dimensional Motion. Essential Question(s): How can we describe the motion of an object in two dimensions using the one-dimensional](https://reader035.vdocument.in/reader035/viewer/2022081521/5a4d1ad37f8b9ab05997206a/html5/thumbnails/1.jpg)
Chapter 3 ReviewTwo-Dimensional Motion
![Page 2: Chapter 3 Review Two-Dimensional Motion. Essential Question(s): How can we describe the motion of an object in two dimensions using the one-dimensional](https://reader035.vdocument.in/reader035/viewer/2022081521/5a4d1ad37f8b9ab05997206a/html5/thumbnails/2.jpg)
Essential Question(s):
How can we describe the motion of an object in two dimensions using the one-dimensional concepts of displacement, velocity, and acceleration?
![Page 3: Chapter 3 Review Two-Dimensional Motion. Essential Question(s): How can we describe the motion of an object in two dimensions using the one-dimensional](https://reader035.vdocument.in/reader035/viewer/2022081521/5a4d1ad37f8b9ab05997206a/html5/thumbnails/3.jpg)
Upcoming Schedule
Today: 3.1-3.2 Vectors and Trigonometry Tomorrow: 3.3-3.4 Projectile and Relative
Motion Monday: 4.1-4.3 Newton’s Laws Tuesday: 4.4 Everyday Forces (friction and
inclined planes!) Wednesday: Last day of review! Thursday: Semester Exam.
![Page 4: Chapter 3 Review Two-Dimensional Motion. Essential Question(s): How can we describe the motion of an object in two dimensions using the one-dimensional](https://reader035.vdocument.in/reader035/viewer/2022081521/5a4d1ad37f8b9ab05997206a/html5/thumbnails/4.jpg)
Objective(s):
Add vectors graphically and algebraically. Determine components of vectors. Calculate displacement, velocity and
acceleration of objects moving in two dimensions.
Describe the motion of objects in different frames of reference.
![Page 5: Chapter 3 Review Two-Dimensional Motion. Essential Question(s): How can we describe the motion of an object in two dimensions using the one-dimensional](https://reader035.vdocument.in/reader035/viewer/2022081521/5a4d1ad37f8b9ab05997206a/html5/thumbnails/5.jpg)
Agenda: Have a half sheet of paper! Thursday:
Vectors and Scalars Adding and Subtracting Vectors Graphically Determining Algebraic Components of Vectors Adding and Subtracting Vectors Algebraically
Friday Projectile Motion
launched horizontally launched at an angle
Relative Motion
![Page 6: Chapter 3 Review Two-Dimensional Motion. Essential Question(s): How can we describe the motion of an object in two dimensions using the one-dimensional](https://reader035.vdocument.in/reader035/viewer/2022081521/5a4d1ad37f8b9ab05997206a/html5/thumbnails/6.jpg)
What are Vectors?
Vector: a physical quantity that has both a magnitude and a direction. Example: Velocity 22 m/s North
Scalar: a physical quantity that can be completely described by its magnitude (number and units). Example: Speed 22 m/s
![Page 7: Chapter 3 Review Two-Dimensional Motion. Essential Question(s): How can we describe the motion of an object in two dimensions using the one-dimensional](https://reader035.vdocument.in/reader035/viewer/2022081521/5a4d1ad37f8b9ab05997206a/html5/thumbnails/7.jpg)
How to Add Vectors Vectors may be
moved parallel to themselves in any diagram.
Vectors can be added in any order.
To subtract a vector, add its opposite.
![Page 8: Chapter 3 Review Two-Dimensional Motion. Essential Question(s): How can we describe the motion of an object in two dimensions using the one-dimensional](https://reader035.vdocument.in/reader035/viewer/2022081521/5a4d1ad37f8b9ab05997206a/html5/thumbnails/8.jpg)
Adding Perpendicular Vectors: Magnitude
Use the Pythagorean Theorem
For example: use the Pythagorean theorem to find the magnitude of the displacement given its horizontal and vertical components
![Page 9: Chapter 3 Review Two-Dimensional Motion. Essential Question(s): How can we describe the motion of an object in two dimensions using the one-dimensional](https://reader035.vdocument.in/reader035/viewer/2022081521/5a4d1ad37f8b9ab05997206a/html5/thumbnails/9.jpg)
Adding Perpendicular Vectors: Direction
Use the inverse tangent function of your calculator
Remember: This only tells you the angle, not the direction relative to North or the horizon
![Page 10: Chapter 3 Review Two-Dimensional Motion. Essential Question(s): How can we describe the motion of an object in two dimensions using the one-dimensional](https://reader035.vdocument.in/reader035/viewer/2022081521/5a4d1ad37f8b9ab05997206a/html5/thumbnails/10.jpg)
Your Turn: Adding Perpendicular Vectors
A student walks 4.0 m South and then 9.0 m East. What is the student’s displacement vector?
Magnitude:
d2 = 9.02 + 4.02 = 81.0 + 16.0d2 = 97.0d = √97.0 = 9.8 m
Direction:
tan θ = 9.0/4.0 = 2.25θ = tan-1 (2.25) θ = 66°
Displacement vector: 9.8 m at 66° E of S
![Page 11: Chapter 3 Review Two-Dimensional Motion. Essential Question(s): How can we describe the motion of an object in two dimensions using the one-dimensional](https://reader035.vdocument.in/reader035/viewer/2022081521/5a4d1ad37f8b9ab05997206a/html5/thumbnails/11.jpg)
Resolving Vectors into Components
In other words Opp = hyp * sin θ
Adj = hyp * cos θ
![Page 12: Chapter 3 Review Two-Dimensional Motion. Essential Question(s): How can we describe the motion of an object in two dimensions using the one-dimensional](https://reader035.vdocument.in/reader035/viewer/2022081521/5a4d1ad37f8b9ab05997206a/html5/thumbnails/12.jpg)
Your Turn: Resolving Vectors into Components
Find the component velocities of a helicopter traveling at 95 km/h at an angle of 35° to the ground.
![Page 13: Chapter 3 Review Two-Dimensional Motion. Essential Question(s): How can we describe the motion of an object in two dimensions using the one-dimensional](https://reader035.vdocument.in/reader035/viewer/2022081521/5a4d1ad37f8b9ab05997206a/html5/thumbnails/13.jpg)
Adding Non-Perpendicular Vectors
1. Resolve all vectors into horizontal and vertical components.
2. Add components to find total horizontal and vertical components of resultant.
3. Calculate magnitude and direction of resultant.
Try adding 40.0 m at 20.0° below the horizontal and 100.0 m at 35° above the horizontal.
![Page 14: Chapter 3 Review Two-Dimensional Motion. Essential Question(s): How can we describe the motion of an object in two dimensions using the one-dimensional](https://reader035.vdocument.in/reader035/viewer/2022081521/5a4d1ad37f8b9ab05997206a/html5/thumbnails/14.jpg)
Homework
p 97 Section Review #2 (adding perpendicular vectors) #3 (finding vector components) #4 (adding non-perpendicular vectors)