An Analysis of Projectile Motion Projectile Motion Lab Report
Projectile Motion Physics 12. Motion in 2D We are now going to investigate projectile motion where...
-
Upload
myles-glenn -
Category
Documents
-
view
213 -
download
0
Transcript of Projectile Motion Physics 12. Motion in 2D We are now going to investigate projectile motion where...
![Page 1: Projectile Motion Physics 12. Motion in 2D We are now going to investigate projectile motion where an object is free to move in both the x and y direction.](https://reader035.fdocuments.us/reader035/viewer/2022072014/56649e905503460f94b9462f/html5/thumbnails/1.jpg)
Projectile Motion
Physics 12
![Page 2: Projectile Motion Physics 12. Motion in 2D We are now going to investigate projectile motion where an object is free to move in both the x and y direction.](https://reader035.fdocuments.us/reader035/viewer/2022072014/56649e905503460f94b9462f/html5/thumbnails/2.jpg)
Motion in 2D
We are now going to investigate projectile motion where an object is free to move in both the x and y direction
![Page 3: Projectile Motion Physics 12. Motion in 2D We are now going to investigate projectile motion where an object is free to move in both the x and y direction.](https://reader035.fdocuments.us/reader035/viewer/2022072014/56649e905503460f94b9462f/html5/thumbnails/3.jpg)
What is projectile motion?
Any object given an initial thrust and then allowed to soar through the air under the force of gravity only is called a projectile.
![Page 4: Projectile Motion Physics 12. Motion in 2D We are now going to investigate projectile motion where an object is free to move in both the x and y direction.](https://reader035.fdocuments.us/reader035/viewer/2022072014/56649e905503460f94b9462f/html5/thumbnails/4.jpg)
Projectile Motion
We know that an object (in the absence of air resistance) that is launched at a given angle should follow a parabolic path
![Page 5: Projectile Motion Physics 12. Motion in 2D We are now going to investigate projectile motion where an object is free to move in both the x and y direction.](https://reader035.fdocuments.us/reader035/viewer/2022072014/56649e905503460f94b9462f/html5/thumbnails/5.jpg)
Projectile Motion – Horizontal Launch
An object that is launched horizontally will have no initial velocity in the y direction so the entire initial velocity will be in the x direction
At this point, we are able to treat the projectile using our two equations of motion
![Page 6: Projectile Motion Physics 12. Motion in 2D We are now going to investigate projectile motion where an object is free to move in both the x and y direction.](https://reader035.fdocuments.us/reader035/viewer/2022072014/56649e905503460f94b9462f/html5/thumbnails/6.jpg)
Parts of a Projectile Path
Horizontal Distance = range Height of projectile = altitude, peak
![Page 7: Projectile Motion Physics 12. Motion in 2D We are now going to investigate projectile motion where an object is free to move in both the x and y direction.](https://reader035.fdocuments.us/reader035/viewer/2022072014/56649e905503460f94b9462f/html5/thumbnails/7.jpg)
2D Motion of a Horizontal Thrust
Gravity ONLY affects the vertical distance travelled
Gravity is the ONLY force affecting the object (neglect air resistance)
So ax = ay = viy = 0 as there is no initial thrust
given
![Page 8: Projectile Motion Physics 12. Motion in 2D We are now going to investigate projectile motion where an object is free to move in both the x and y direction.](https://reader035.fdocuments.us/reader035/viewer/2022072014/56649e905503460f94b9462f/html5/thumbnails/8.jpg)
Projectile Motion - Equations
00
2
0
2)(
)(
dtvta
td
vtatv
)4(2
)(
)3()(
)2(2
)(
)1()(
00
2
0
00
2
0
yyy
y
yyy
xxx
x
xxx
dtvta
td
vtatv
dtvta
td
vtatv
![Page 9: Projectile Motion Physics 12. Motion in 2D We are now going to investigate projectile motion where an object is free to move in both the x and y direction.](https://reader035.fdocuments.us/reader035/viewer/2022072014/56649e905503460f94b9462f/html5/thumbnails/9.jpg)
Projectile Motion
yyy
yy
xxx
xx
dtvtg
td
vtgtv
dtvtd
vtv
00
2
0
00
0
2)(
)(
)(
)(
![Page 10: Projectile Motion Physics 12. Motion in 2D We are now going to investigate projectile motion where an object is free to move in both the x and y direction.](https://reader035.fdocuments.us/reader035/viewer/2022072014/56649e905503460f94b9462f/html5/thumbnails/10.jpg)
Projectile Motion Problem A cannonball is fired horizontally
from the top of a 50.m high cliff with an initial speed of 30.m/s. Ignoring air resistance, determine the following: How long it takes to strike the ground How far from the base of the cliff it
strikes the ground How fast it is travelling when it strikes
the ground
![Page 11: Projectile Motion Physics 12. Motion in 2D We are now going to investigate projectile motion where an object is free to move in both the x and y direction.](https://reader035.fdocuments.us/reader035/viewer/2022072014/56649e905503460f94b9462f/html5/thumbnails/11.jpg)
Projectile Motion Problem Start with y
position equation (4)
Sub in known information (h=50.m) and solve for time
st
st
sm
mt
ttsm
m
dtvtg
td yyy
2.3
1.10
/81.9
).50(2
002
/81.9.50
2)(
22
22
22
00
2
![Page 12: Projectile Motion Physics 12. Motion in 2D We are now going to investigate projectile motion where an object is free to move in both the x and y direction.](https://reader035.fdocuments.us/reader035/viewer/2022072014/56649e905503460f94b9462f/html5/thumbnails/12.jpg)
Projectile Motion Problem Now use x position
equation (2) Sub in time and
known information (t=3.2s, vox=30.m/s) and solve for dx
msd
ssmsd
dtvtd
x
x
xxx
96)2.3(
0)2.3(/.30)2.3(
)( 00
![Page 13: Projectile Motion Physics 12. Motion in 2D We are now going to investigate projectile motion where an object is free to move in both the x and y direction.](https://reader035.fdocuments.us/reader035/viewer/2022072014/56649e905503460f94b9462f/html5/thumbnails/13.jpg)
Projectile Motion Problem Finally we
will use equations (1) and (3)
Sub in time and solve for velocity
smsv
ssmsv
vtgtv
smv
vtv
y
y
yy
x
xx
/31)2.3(
0)2.3(/81.9)2.3(
)(
/.30
)(
2
0
0
![Page 14: Projectile Motion Physics 12. Motion in 2D We are now going to investigate projectile motion where an object is free to move in both the x and y direction.](https://reader035.fdocuments.us/reader035/viewer/2022072014/56649e905503460f94b9462f/html5/thumbnails/14.jpg)
Projectile Motion Problem Now, we employ
trigonometry and Pythagorean Theorem to solve for the final velocity
o
o
y
x
smv
sm
sm
smv
smsmv
smsv
smv
46,/43
46
/.30
/31tan
/43
)/31()/.30(
/31)2.3(
/.30
1
22
vx
vy
vr
![Page 15: Projectile Motion Physics 12. Motion in 2D We are now going to investigate projectile motion where an object is free to move in both the x and y direction.](https://reader035.fdocuments.us/reader035/viewer/2022072014/56649e905503460f94b9462f/html5/thumbnails/15.jpg)
Example 2
You throw a rock off a 291m high cliff horizontally at 12.8 m/s.
A) If the river below is 68.5 m wide, will the rock make it across the river?
(98.6m so it will make it across) B) With what velocity will the rock hit
the water/ground? (76.6 m/s [80.4’])
![Page 16: Projectile Motion Physics 12. Motion in 2D We are now going to investigate projectile motion where an object is free to move in both the x and y direction.](https://reader035.fdocuments.us/reader035/viewer/2022072014/56649e905503460f94b9462f/html5/thumbnails/16.jpg)
Projectile Motion
http://videolectures.net/mit801f99_lewin_lec04/
Page 536-7, questions 1 to 8