projectile motion
DESCRIPTION
projectile motionTRANSCRIPT
![Page 1: Projectile Motion](https://reader038.vdocuments.us/reader038/viewer/2022102823/54664b4daf79595c6f8b48e3/html5/thumbnails/1.jpg)
Projectile Motion
![Page 2: Projectile Motion](https://reader038.vdocuments.us/reader038/viewer/2022102823/54664b4daf79595c6f8b48e3/html5/thumbnails/2.jpg)
What is a projectile?• Any object that moves through the air or
space with an initial velocity and makes a parabolic path is called a projectile
![Page 3: Projectile Motion](https://reader038.vdocuments.us/reader038/viewer/2022102823/54664b4daf79595c6f8b48e3/html5/thumbnails/3.jpg)
First…
• Let’s think about objects that move in a straight line…
![Page 4: Projectile Motion](https://reader038.vdocuments.us/reader038/viewer/2022102823/54664b4daf79595c6f8b48e3/html5/thumbnails/4.jpg)
Horizontal Motion
• If there were no gravity, an object moving horizontally (in the x-direction) would continue to move _________________in a straight line
![Page 5: Projectile Motion](https://reader038.vdocuments.us/reader038/viewer/2022102823/54664b4daf79595c6f8b48e3/html5/thumbnails/5.jpg)
Vertical Motion
• If an object is dropped vertically (in the y-direction), then _______ causes it to
• ___________ downwards
gravity
accelerate
![Page 6: Projectile Motion](https://reader038.vdocuments.us/reader038/viewer/2022102823/54664b4daf79595c6f8b48e3/html5/thumbnails/6.jpg)
Projectile Motion
• Projectile motion is a ________________!
• In the x-direction, it continues to move at a __________ speed, but in the y-direction, it ___________downwards because of gravity!
combination
constantaccelerate
![Page 7: Projectile Motion](https://reader038.vdocuments.us/reader038/viewer/2022102823/54664b4daf79595c6f8b48e3/html5/thumbnails/7.jpg)
Take-Home Message!!!
For a projectile: THE X-VELOCITY IS _________________ OF THE Y-VELOCITY!!!
The speed in the x-direction doesn’t care what the speed in the y-direction is!
INDEPENDENT
![Page 8: Projectile Motion](https://reader038.vdocuments.us/reader038/viewer/2022102823/54664b4daf79595c6f8b48e3/html5/thumbnails/8.jpg)
Why?
• Remember that _____________is only pulling in one direction (__________!) and nothing is pulling ________________
• If there were no gravity, a projectile would go __________forever:
gravitydown right or left
straight
![Page 9: Projectile Motion](https://reader038.vdocuments.us/reader038/viewer/2022102823/54664b4daf79595c6f8b48e3/html5/thumbnails/9.jpg)
Velocity Vectors
• Remember that velocity has a ____________, so it can be represented using ____________!
• We can break down the velocity into separate x- and y- components:
directionvectors
![Page 10: Projectile Motion](https://reader038.vdocuments.us/reader038/viewer/2022102823/54664b4daf79595c6f8b48e3/html5/thumbnails/10.jpg)
Velocity Vectors
• Let’s examine the x and y velocity vectors for a projectile:
• Its x-velocity stays __________and its y-velocity _____________.
constantincreases
![Page 11: Projectile Motion](https://reader038.vdocuments.us/reader038/viewer/2022102823/54664b4daf79595c6f8b48e3/html5/thumbnails/11.jpg)
Y-VelocityJust like in free-fall:
Velocity in the y-direction ___________on the way up, and ____________on the way down
At the top of the path, the y-velocity is always ______ Velocity on the way up ________velocity on the way down when
you reach the same _________
decreasesincreases
zeroequals
height
![Page 12: Projectile Motion](https://reader038.vdocuments.us/reader038/viewer/2022102823/54664b4daf79595c6f8b48e3/html5/thumbnails/12.jpg)
*Checkpoint Question 1*
• If you were walking at a constant velocity with a baseball and threw it up into the air while you were walking, would it fall– A. in front of you– B. behind you– C. right back into your hands?
• Why??
![Page 13: Projectile Motion](https://reader038.vdocuments.us/reader038/viewer/2022102823/54664b4daf79595c6f8b48e3/html5/thumbnails/13.jpg)
Answer!
• Its y-velocity is different than yours, but its x-velocity stays the same as you. It should land back into your hands!
![Page 14: Projectile Motion](https://reader038.vdocuments.us/reader038/viewer/2022102823/54664b4daf79595c6f8b48e3/html5/thumbnails/14.jpg)
**Checkpoint Question 2**
• An airplane is carrying a bomb and traveling with a velocity of 1,100 mph east. If it releases its bomb and continues at that velocity, will the bomb land:– A. Directly underneath the plane– B. Behind the plane– C. Ahead of the plane
![Page 15: Projectile Motion](https://reader038.vdocuments.us/reader038/viewer/2022102823/54664b4daf79595c6f8b48e3/html5/thumbnails/15.jpg)
Answer!
• If they’re going at the same x-velocity, it will land directly beneath the plane!
![Page 16: Projectile Motion](https://reader038.vdocuments.us/reader038/viewer/2022102823/54664b4daf79595c6f8b48e3/html5/thumbnails/16.jpg)
***Checkpoint Question 3***
• Suppose two balls released from the same height: one is dropped from rest, and the other is thrown horizontally. Which will hit the ground first? Why?
• They will hit at the same time, because they are both being pulled by gravity at the same rate! Only one will have a greater x-range.
![Page 17: Projectile Motion](https://reader038.vdocuments.us/reader038/viewer/2022102823/54664b4daf79595c6f8b48e3/html5/thumbnails/17.jpg)
X-Range and Max Vertical Height
• Your x- distance is called your __________and your y-distance is called your __________.
• Your range and height depend on:– The _______ that the projectile is launched at and– The __________it is launched at
rangeheight
anglevelocity
![Page 18: Projectile Motion](https://reader038.vdocuments.us/reader038/viewer/2022102823/54664b4daf79595c6f8b48e3/html5/thumbnails/18.jpg)
Angle
• Increasing your angle increases your range until you reach 45°.
• 45° to 90°, increasing your angle decreases your range.
![Page 19: Projectile Motion](https://reader038.vdocuments.us/reader038/viewer/2022102823/54664b4daf79595c6f8b48e3/html5/thumbnails/19.jpg)
Initial Velocity
• The greater the initial velocity of a projectile, the ____________it will go:farther
![Page 20: Projectile Motion](https://reader038.vdocuments.us/reader038/viewer/2022102823/54664b4daf79595c6f8b48e3/html5/thumbnails/20.jpg)
The trajectory of an object depends on how fast it is moving horizontally and how long gravity acts on it
for.
Earth
![Page 21: Projectile Motion](https://reader038.vdocuments.us/reader038/viewer/2022102823/54664b4daf79595c6f8b48e3/html5/thumbnails/21.jpg)
The trajectory of an object depends on how fast it is moving horizontally and how long gravity acts on it for.
Earth
Small horizontal velocity
![Page 22: Projectile Motion](https://reader038.vdocuments.us/reader038/viewer/2022102823/54664b4daf79595c6f8b48e3/html5/thumbnails/22.jpg)
The trajectory of an object depends on how fast it is moving horizontally and how
long gravity acts on it for.
Earth
Medium horizontal velocity
![Page 23: Projectile Motion](https://reader038.vdocuments.us/reader038/viewer/2022102823/54664b4daf79595c6f8b48e3/html5/thumbnails/23.jpg)
The trajectory of an object depends on how fast it is moving horizontally and how long gravity acts on it
for.
Earth
Fast horizontal velocity
![Page 24: Projectile Motion](https://reader038.vdocuments.us/reader038/viewer/2022102823/54664b4daf79595c6f8b48e3/html5/thumbnails/24.jpg)
Projectile Motion
A projectile is always falling.The faster it moves horizontally, the
farther away it will be when it hits the ground.
SlowMedium
Fast
![Page 25: Projectile Motion](https://reader038.vdocuments.us/reader038/viewer/2022102823/54664b4daf79595c6f8b48e3/html5/thumbnails/25.jpg)