Objectives: The student will be able to: Describe what is meant by a projectile. Use the kinematics...
-
Upload
cora-holland -
Category
Documents
-
view
213 -
download
0
Transcript of Objectives: The student will be able to: Describe what is meant by a projectile. Use the kinematics...
![Page 1: Objectives: The student will be able to: Describe what is meant by a projectile. Use the kinematics equations of Chapter Two along with the vector component.](https://reader035.fdocuments.us/reader035/viewer/2022062722/56649f355503460f94c53b12/html5/thumbnails/1.jpg)
Objectives: The student will be able to:
• Describe what is meant by a projectile.
• Use the kinematics equations of Chapter Two along with the vector component method of Chapter Three to solve problems involving two dimensional motion of projectiles.
• Analyze the motion of a projectile by breaking its velocity and acceleration vectors into vertical and horizontal components.
![Page 2: Objectives: The student will be able to: Describe what is meant by a projectile. Use the kinematics equations of Chapter Two along with the vector component.](https://reader035.fdocuments.us/reader035/viewer/2022062722/56649f355503460f94c53b12/html5/thumbnails/2.jpg)
What is a projectile ?
• A projectile is an object that has only one force acting on it. The singular force acting on the object must be gravity
![Page 3: Objectives: The student will be able to: Describe what is meant by a projectile. Use the kinematics equations of Chapter Two along with the vector component.](https://reader035.fdocuments.us/reader035/viewer/2022062722/56649f355503460f94c53b12/html5/thumbnails/3.jpg)
What are they?
• The definition of a projectile is…
An object that moves through space affected only by gravity.
![Page 4: Objectives: The student will be able to: Describe what is meant by a projectile. Use the kinematics equations of Chapter Two along with the vector component.](https://reader035.fdocuments.us/reader035/viewer/2022062722/56649f355503460f94c53b12/html5/thumbnails/4.jpg)
Projectile Motion and the NFL
• Introduction to Projectile Motion
• http://science360.gov/obj/tkn-video/fc729ef0-22ee-4f61-bb2a-b6c07685fb02/science-nfl-football-projectile-motion-parabolas
![Page 5: Objectives: The student will be able to: Describe what is meant by a projectile. Use the kinematics equations of Chapter Two along with the vector component.](https://reader035.fdocuments.us/reader035/viewer/2022062722/56649f355503460f94c53b12/html5/thumbnails/5.jpg)
Projectile Motion
• Two-dimensional motion of an object– Vertical– Horizontal
![Page 6: Objectives: The student will be able to: Describe what is meant by a projectile. Use the kinematics equations of Chapter Two along with the vector component.](https://reader035.fdocuments.us/reader035/viewer/2022062722/56649f355503460f94c53b12/html5/thumbnails/6.jpg)
Types of Projectile Motion
• Horizontal– Motion of a ball rolling freely
along a level surface– Horizontal velocity is
ALWAYS constant• Vertical
– Motion of a freely falling object
– Force due to gravity– Vertical component of
velocity changes with time• Parabolic
– Path traced by an object accelerating only in the vertical direction while moving at constant horizontal velocity
![Page 7: Objectives: The student will be able to: Describe what is meant by a projectile. Use the kinematics equations of Chapter Two along with the vector component.](https://reader035.fdocuments.us/reader035/viewer/2022062722/56649f355503460f94c53b12/html5/thumbnails/7.jpg)
Projectile or not?
• An Airplane
• A bird
• A football thrown by Carson Palmer
• A “dumb” bomb
• A “smart” bomb
• A bird that has just died in mid flight
• A skydiver
![Page 8: Objectives: The student will be able to: Describe what is meant by a projectile. Use the kinematics equations of Chapter Two along with the vector component.](https://reader035.fdocuments.us/reader035/viewer/2022062722/56649f355503460f94c53b12/html5/thumbnails/8.jpg)
Demonstration
• Two identical metal balls are launched simultaneously. One is projected horizontally; the other falls only vertically. Which ball will strike the ground first?
![Page 9: Objectives: The student will be able to: Describe what is meant by a projectile. Use the kinematics equations of Chapter Two along with the vector component.](https://reader035.fdocuments.us/reader035/viewer/2022062722/56649f355503460f94c53b12/html5/thumbnails/9.jpg)
![Page 10: Objectives: The student will be able to: Describe what is meant by a projectile. Use the kinematics equations of Chapter Two along with the vector component.](https://reader035.fdocuments.us/reader035/viewer/2022062722/56649f355503460f94c53b12/html5/thumbnails/10.jpg)
Two balls that start to fall at the same time.
The one on the right has an initial speed in the x-direction.
It can be seen that vertical positions of the two balls are identical at identical times…
while the horizontal position of the yellow ball increases linearly.
Slow Motion Camera
![Page 11: Objectives: The student will be able to: Describe what is meant by a projectile. Use the kinematics equations of Chapter Two along with the vector component.](https://reader035.fdocuments.us/reader035/viewer/2022062722/56649f355503460f94c53b12/html5/thumbnails/11.jpg)
Projectile Motion
• Horizontally
–Acceleration is zero!
• Vertically
–Acceleration is due to gravity
• Time of flight is equal for horizontal and vertical movement.
![Page 12: Objectives: The student will be able to: Describe what is meant by a projectile. Use the kinematics equations of Chapter Two along with the vector component.](https://reader035.fdocuments.us/reader035/viewer/2022062722/56649f355503460f94c53b12/html5/thumbnails/12.jpg)
Observe independent vectors
![Page 13: Objectives: The student will be able to: Describe what is meant by a projectile. Use the kinematics equations of Chapter Two along with the vector component.](https://reader035.fdocuments.us/reader035/viewer/2022062722/56649f355503460f94c53b12/html5/thumbnails/13.jpg)
![Page 14: Objectives: The student will be able to: Describe what is meant by a projectile. Use the kinematics equations of Chapter Two along with the vector component.](https://reader035.fdocuments.us/reader035/viewer/2022062722/56649f355503460f94c53b12/html5/thumbnails/14.jpg)
3-5 Projectile Motion
A projectile is an object moving in two dimensions under the influence of Earth's gravity; its path is a parabola.
![Page 15: Objectives: The student will be able to: Describe what is meant by a projectile. Use the kinematics equations of Chapter Two along with the vector component.](https://reader035.fdocuments.us/reader035/viewer/2022062722/56649f355503460f94c53b12/html5/thumbnails/15.jpg)
Demonstration
• When the plunger in the dynamics car is released, the ball is launched straight up. Will the ball land in front of, in, or behind the moving dynamics cart?
![Page 16: Objectives: The student will be able to: Describe what is meant by a projectile. Use the kinematics equations of Chapter Two along with the vector component.](https://reader035.fdocuments.us/reader035/viewer/2022062722/56649f355503460f94c53b12/html5/thumbnails/16.jpg)
![Page 17: Objectives: The student will be able to: Describe what is meant by a projectile. Use the kinematics equations of Chapter Two along with the vector component.](https://reader035.fdocuments.us/reader035/viewer/2022062722/56649f355503460f94c53b12/html5/thumbnails/17.jpg)
![Page 18: Objectives: The student will be able to: Describe what is meant by a projectile. Use the kinematics equations of Chapter Two along with the vector component.](https://reader035.fdocuments.us/reader035/viewer/2022062722/56649f355503460f94c53b12/html5/thumbnails/18.jpg)
It can be understood by analyzing the horizontal and vertical motions separately.
3-5 Projectile Motion
![Page 19: Objectives: The student will be able to: Describe what is meant by a projectile. Use the kinematics equations of Chapter Two along with the vector component.](https://reader035.fdocuments.us/reader035/viewer/2022062722/56649f355503460f94c53b12/html5/thumbnails/19.jpg)
![Page 20: Objectives: The student will be able to: Describe what is meant by a projectile. Use the kinematics equations of Chapter Two along with the vector component.](https://reader035.fdocuments.us/reader035/viewer/2022062722/56649f355503460f94c53b12/html5/thumbnails/20.jpg)
3-5 Projectile Motion
If an object is launched at an initial angle of θ0 with the horizontal, the analysis is similar except that the initial velocity has a vertical component.
![Page 21: Objectives: The student will be able to: Describe what is meant by a projectile. Use the kinematics equations of Chapter Two along with the vector component.](https://reader035.fdocuments.us/reader035/viewer/2022062722/56649f355503460f94c53b12/html5/thumbnails/21.jpg)
Draw velocity vectors for this. Label the magnitudes
![Page 22: Objectives: The student will be able to: Describe what is meant by a projectile. Use the kinematics equations of Chapter Two along with the vector component.](https://reader035.fdocuments.us/reader035/viewer/2022062722/56649f355503460f94c53b12/html5/thumbnails/22.jpg)
![Page 23: Objectives: The student will be able to: Describe what is meant by a projectile. Use the kinematics equations of Chapter Two along with the vector component.](https://reader035.fdocuments.us/reader035/viewer/2022062722/56649f355503460f94c53b12/html5/thumbnails/23.jpg)
3-6 Solving Problems Involving Projectile Motion
Projectile motion is motion with constant acceleration in two dimensions, where the acceleration is g and is down.
![Page 24: Objectives: The student will be able to: Describe what is meant by a projectile. Use the kinematics equations of Chapter Two along with the vector component.](https://reader035.fdocuments.us/reader035/viewer/2022062722/56649f355503460f94c53b12/html5/thumbnails/24.jpg)
![Page 25: Objectives: The student will be able to: Describe what is meant by a projectile. Use the kinematics equations of Chapter Two along with the vector component.](https://reader035.fdocuments.us/reader035/viewer/2022062722/56649f355503460f94c53b12/html5/thumbnails/25.jpg)
3-6 Solving Problems Involving Projectile Motion
1. Read the problem carefully, and choose the object(s) you are going to analyze.
2. Draw a diagram.
3. Choose an origin and a coordinate system.
4. Decide on the time interval; this is the same in both directions, and includes only the time the object is moving with constant acceleration g.
5. Examine the x and y motions separately.
![Page 26: Objectives: The student will be able to: Describe what is meant by a projectile. Use the kinematics equations of Chapter Two along with the vector component.](https://reader035.fdocuments.us/reader035/viewer/2022062722/56649f355503460f94c53b12/html5/thumbnails/26.jpg)
3-6 Solving Problems Involving Projectile Motion
6. List known and unknown quantities. Remember that vx never changes, and that vy = 0 at the highest point.
7. Plan how you will proceed. Use the appropriate equations; you may have to combine some of them.
![Page 27: Objectives: The student will be able to: Describe what is meant by a projectile. Use the kinematics equations of Chapter Two along with the vector component.](https://reader035.fdocuments.us/reader035/viewer/2022062722/56649f355503460f94c53b12/html5/thumbnails/27.jpg)
![Page 28: Objectives: The student will be able to: Describe what is meant by a projectile. Use the kinematics equations of Chapter Two along with the vector component.](https://reader035.fdocuments.us/reader035/viewer/2022062722/56649f355503460f94c53b12/html5/thumbnails/28.jpg)
![Page 29: Objectives: The student will be able to: Describe what is meant by a projectile. Use the kinematics equations of Chapter Two along with the vector component.](https://reader035.fdocuments.us/reader035/viewer/2022062722/56649f355503460f94c53b12/html5/thumbnails/29.jpg)
![Page 30: Objectives: The student will be able to: Describe what is meant by a projectile. Use the kinematics equations of Chapter Two along with the vector component.](https://reader035.fdocuments.us/reader035/viewer/2022062722/56649f355503460f94c53b12/html5/thumbnails/30.jpg)
![Page 31: Objectives: The student will be able to: Describe what is meant by a projectile. Use the kinematics equations of Chapter Two along with the vector component.](https://reader035.fdocuments.us/reader035/viewer/2022062722/56649f355503460f94c53b12/html5/thumbnails/31.jpg)
![Page 32: Objectives: The student will be able to: Describe what is meant by a projectile. Use the kinematics equations of Chapter Two along with the vector component.](https://reader035.fdocuments.us/reader035/viewer/2022062722/56649f355503460f94c53b12/html5/thumbnails/32.jpg)
At the 2003 World Punkin’ Chunkin’ Championships the
winning chunk was launched with an initial speed of 113 meters/sec.
At an angle of 45 degrees
• Determine: 1. The horizontal and vertical components of velocity2. The time of flight for the pumpkin (wow)3. The range of the pumpkin
![Page 33: Objectives: The student will be able to: Describe what is meant by a projectile. Use the kinematics equations of Chapter Two along with the vector component.](https://reader035.fdocuments.us/reader035/viewer/2022062722/56649f355503460f94c53b12/html5/thumbnails/33.jpg)
3-7 Projectile Motion Is ParabolicIn order to demonstrate that projectile motion is parabolic, we need to write y as a function of x. When we do, we find that it has the form:
This is indeed the equation for a parabola.
![Page 34: Objectives: The student will be able to: Describe what is meant by a projectile. Use the kinematics equations of Chapter Two along with the vector component.](https://reader035.fdocuments.us/reader035/viewer/2022062722/56649f355503460f94c53b12/html5/thumbnails/34.jpg)
p. 66 #17
• A tiger leaps horizontally from a 6.5 m high rock with a speed of 3.5 m/s. How far from the base of the rock will she land?
![Page 35: Objectives: The student will be able to: Describe what is meant by a projectile. Use the kinematics equations of Chapter Two along with the vector component.](https://reader035.fdocuments.us/reader035/viewer/2022062722/56649f355503460f94c53b12/html5/thumbnails/35.jpg)
Sample on page 58 3-5
![Page 36: Objectives: The student will be able to: Describe what is meant by a projectile. Use the kinematics equations of Chapter Two along with the vector component.](https://reader035.fdocuments.us/reader035/viewer/2022062722/56649f355503460f94c53b12/html5/thumbnails/36.jpg)
Homework Chapter 3
• Question: page 65 #15
• Problems: 18, 19, 21, 22
• Extra Practice
• Projectile Motion – Guided activity
• http://www.physicsclassroom.com/Class/vectors/U3L2a.cfm
![Page 37: Objectives: The student will be able to: Describe what is meant by a projectile. Use the kinematics equations of Chapter Two along with the vector component.](https://reader035.fdocuments.us/reader035/viewer/2022062722/56649f355503460f94c53b12/html5/thumbnails/37.jpg)
Closure
• Kahoot (Projectile Motion)
• How does the downward components of the motion of a projectile compare with the motion of freefall?
![Page 38: Objectives: The student will be able to: Describe what is meant by a projectile. Use the kinematics equations of Chapter Two along with the vector component.](https://reader035.fdocuments.us/reader035/viewer/2022062722/56649f355503460f94c53b12/html5/thumbnails/38.jpg)
Homework Chapter 3
• Problems: 26, 31, 35