SlideShare a Scribd company logo
PROJECTILE MOTION
LEARNING OBJECTIVES
• Define Projectile Motion
• Explain Projectile Motion
• Identify the types of Projectile Motion
• Differentiate the types of Projectile Motion
• Explain and summarize all the kinematics equation
in solving Projectile Motion problems
• Solve problems involving the types of Projectile
Motion
WHATIS PROJECTILE?
Projectile -Any object which projected by some means and continues
to move due to its own inertia (mass).
PROJECTILES MOVEIN
TWO DIMENSIONS
A projectile moves in 2 -
dimensions, therefore, it has
2 components just like a
resultant vector.
HORIZONTAL “VELOCITY”
COMPONENT
• It NEVER changes, covers equal
displacements in equal time periods. This
means the initial horizontal velocity equals
the final horizontal velocity
In other words, the horizontal
velocity is CONSTANT. BUT WHY?
Gravity DOES NOT work
horizontally to increase or
decrease the velocity.
VERTICAL “VELOCITY” COMPONENT
• Changes (due to gravity), does NOT cover equal
displacements in equal time periods.
Both the MAGNITUDE and DIRECTION
change. As the projectile moves up the
MAGNITUDE DECREASES and its direction
is UPWARD. As it moves down the
MAGNITUDE INCREASES and the direction
is DOWNWARD.
COMBININGTHE
COMPONENTS
These components
produce what is called a
TRAJECTORYor path.
This path is PARABOLIC
in nature.
Component Magnitude Direction
Horizontal Constant Constant
Vertical Changes Changes
HORIZONTALLY
LAUNCHED PROJECTILES
Projectiles which have NO upward trajectory and NO
initial VERTICAL velocity.
v  v  constant
ox x
v
oy
 0m / s
HORIZONTALLYLAUNCHEDPROJECTILES
To analyze a projectile in 2 dimensions we need 2
equations. One for the “x” direction and one for the
“y” direction. And for this we use kinematic #2.
x  v t
ox
y  12 gt2
Remember, the velocity is
CONSTANT horizontally, so
that means the acceleration
is ZERO!
Remember that since the
projectile is launched
horizontally, the INITIAL
VERTICALVELOCITYis equal
to ZERO.
HORIZONTALLYLAUNCHEDPROJECTILES
Example:
A plane traveling with a
horizontal velocity of 100 m/s is
500 m above the ground. At
some point the pilot decides to
drop some supplies to
designated target below. (a)
How long is the drop in the air?
(b) How far away from point
where it was launched will it
1
land?1
y  gt 2  500  (9.8)t 2
2 2
102.04  t2  t  10.1 seconds
ox
x  v t  (100)(10.1)  1010 m
What do I know? What I want to
know?
vox=100 m/s t = ?
y = 500 m x = ?
voy= 0 m/s
g = -9.8 m/s/s
VERTICALLYLAUNCHEDPROJECTILES
NO Vertical Velocity at the top of the trajectory.
Vertical
Velocity
decreases on
the way
upward Horizontal Velocity
is constant
Vertical Velocity
increases on the
way down,
Component Magnitude Direction
Horizontal Constant Constant
Vertical Decreases up, 0
@ top, Increases
down
Changes
VERTICALLYLAUNCHEDPROJECTILES
vo voy
Since the projectile was launched at a angle, the
velocity MUST be broken into components!!!
v
v
oy
ox o
o
 v cos
 v sin

vox
VERTICALLYLAUNCHED
PROJECTILES
There are several things you
must consider when doing
these types of projectiles
besides using components. If it
begins and ends at ground
level, the “y” displacement is
ZERO: y = 0
VERTICALLYLAUNCHEDPROJECTILES
You will still use kinematic #2, but YOU MUST use
COMPONENTS in the equation.
vo voy
xv t
ox oy
yv t  12gt2

vox
ox
v
v
oy
o
o
 v cos
 v sin
EXAMPLE
A place kicker kicks a football with a velocity of 20.0 m/s and at
an angle of 53 degrees.
(a) How long is the ball in the air?
(b) How far away does it land?
(c) How high does it travel?
ox
 v cos
o
 20cos53 12.04 m / s
  
v
v
ox
v  v sin
oy
v
oy
o
 20sin53 15.97m / s
EXAMPLE
A place kicker kicks a
football with a velocity
of 20.0 m/s and at an
angle of 53 degrees.
(a) How long is the ball
in the air?
oy
y  v t  1
2
gt2
 0  (15.97)t  4.9t2
15.97t  4.9t2 15.97  4.9t
t  3.26 s
What I know What I want
to know
vox=12.04 m/s t = ?
voy=15.97 m/s x = ?
y = 0 ymax=?
g = - 9.8 m/s/s
EXAMPLE
A place kicker kicks a
football with a velocity
of 20.0 m/s and at an
angle of 53 degrees.
(b) How far away does it
land?
ox
x  v t  (12.04)(3.26)  39.24 m
What I know What I want
to know
vox=12.04 m/s t = 3.26 s
voy=15.97 m/s x = ?
y = 0 ymax=?
g = - 9.8 m/s/s
SAMPLE PROBLEM:
A place kicker kicks a
football with a velocity
of 20.0 m/s and at an
angle of 53 degrees.
(c) How high does it
travel? y  v t
oy
 12 gt2
CUTYOURTIME IN HALF!
y  13.01 m
y  (15.97)(1.63) 4.9(1.63)2
What I know What I want
to know
vox=12.04 m/s t = 3.26 s
voy=15.97 m/s x = 39.24 m
y = 0 ymax=?
g = - 9.8 m/s/s
BASICS STUDENTS SHOULD
KNOW
1. What is a Projectile Motion?
2. What is a Projectile?
3. What is aTrajectory?
4. Why is Horizontal Velocity is constant all throughout in Projectile
Motion?
5. Why is Vertical velocity is zero at maximum height?
6. What is changing in Projectile Motion?
7. What is the difference between Half Projectile Motion and Full
Projectile Motion?
8. What is the difference Half-Time and Hang-Time?
9. Is there an acceleration along the horizontal in Projectile Motion?
10. Is there an acceleration along the vertical in Projectile Motion?
What is it?
HALFPROJECTILE MOTION
FULLPROJECTILEMOTION
PROJECTILE MOTION
Voy=0
HORIZONTAL
ax = o, Vox=Vx =
constant
Half projectile: R=
Voxt
Full Projectile:
X = Xo + Voxt R =
VoxT
VERTICAL
Half Projectile:
Y=1/2 ag t², use ag = -9.8 m/s² Full
Projectile:
@max pt/ht:
Vy=0, use ag = -9.8 m/s²
Y = Yo + Voyt + ½ agt²
OTHER KINEMATICS EQUATIONS TO
BE USED IN PROJECTILE MOTION
1. Vox = Vo cos ø
2. Voy = Vo sin ø
3. V = √Vx² + Vy²
4. Ø = tanˉ¹ (Voy/Vox) or Vy/Vx
5. Vy² = Voy² + 2 agY
6. Vy = Voy + agt
MORE EXAMPLES
1. A slingshot is used to launch a stone horizontally
from the top of a 20.0 meter cliff. The stone lands
36.o meters away.
a. At what speed was the stone launched? (17.82 m/s)
b. What is the speed and angle of impact? ( 26.64
m/s, -47.98 degrees)
2. A cannon fires a cannonball 500.0m downrange when
set at 45 degree angle. At what velocity does the
cannonball leave the cannon? (Answer: 70.0m/s)
EVALUATION
1. A punter in a football game kicks a ball from the goal
line at 60 degrees from the horizontal at 25.0 m/s
a. What is the hang time of the punt? (Ans: 4.41 s)
b. How far downfield does the ball land? (Ans: 55.2m)
2. A skier leaves the horizontal end of a ramp with a
velocity of 25.0m/s and lands 70.0 m from the base of
the ramp. How high is the end of the ramp from the
ground? (Answer: 38.5 m)
ASSIGNMENT
1. What is a Momentum
2. What is an Impulse
3. Bring the following
a. Block of Wood
b. Masking Tape
c. Protractor
d. Ruler/Meter Stick
QUOTETOLIVEBY…
“Project,
launch yourself
and be
discovered…”
- YOURS
TRULY-

More Related Content

What's hot

Mga paraan upang manatiling matatag ang relasyon ng Pamilya
Mga paraan upang manatiling matatag ang relasyon ng PamilyaMga paraan upang manatiling matatag ang relasyon ng Pamilya
Mga paraan upang manatiling matatag ang relasyon ng PamilyaChristine Dimarucut
 
Mga Akda/Naisulat ni Dr. Jose Rizal
Mga Akda/Naisulat ni Dr. Jose RizalMga Akda/Naisulat ni Dr. Jose Rizal
Mga Akda/Naisulat ni Dr. Jose RizalCedrick Abadines
 
Edukasyon ni Rizal
Edukasyon ni RizalEdukasyon ni Rizal
Edukasyon ni Rizalyel08
 
Modyul 8 pagsibol ng kamalayang pilipino
Modyul 8 pagsibol ng kamalayang pilipinoModyul 8 pagsibol ng kamalayang pilipino
Modyul 8 pagsibol ng kamalayang pilipino南 睿
 
Kung mangarap ka nang matagal
Kung mangarap ka nang matagalKung mangarap ka nang matagal
Kung mangarap ka nang matagalLanie Lyn Alog
 
Romantic Period Music
Romantic Period MusicRomantic Period Music
Romantic Period MusicMary Lin
 
Patakarang Ipinatupad ng mga Espanyol
Patakarang Ipinatupad ng mga EspanyolPatakarang Ipinatupad ng mga Espanyol
Patakarang Ipinatupad ng mga EspanyolJonah Recio
 
Migrasyon
MigrasyonMigrasyon
MigrasyonJerlie
 
Socio5 10 rizal’s trip to hong kong and macau
Socio5   10 rizal’s trip to hong kong and macauSocio5   10 rizal’s trip to hong kong and macau
Socio5 10 rizal’s trip to hong kong and macauYvan Gumbao
 
Ahensya nng pamahalaan at tungkulin
Ahensya nng pamahalaan at tungkulinAhensya nng pamahalaan at tungkulin
Ahensya nng pamahalaan at tungkulinNers Iraola
 
Ano ang ginamapanan ng el fili sa kasaysayan ng bansa
Ano ang ginamapanan  ng el fili sa kasaysayan ng bansaAno ang ginamapanan  ng el fili sa kasaysayan ng bansa
Ano ang ginamapanan ng el fili sa kasaysayan ng bansaPRINTDESK by Dan
 
Romanticism ( 1800 – 1810)
Romanticism ( 1800 – 1810)Romanticism ( 1800 – 1810)
Romanticism ( 1800 – 1810)Mariyah Ayoniv
 
Mga nagawa ni Emilio Aguinaldo
Mga nagawa ni Emilio AguinaldoMga nagawa ni Emilio Aguinaldo
Mga nagawa ni Emilio AguinaldoRuth Cabuhan
 

What's hot (20)

Mga paraan upang manatiling matatag ang relasyon ng Pamilya
Mga paraan upang manatiling matatag ang relasyon ng PamilyaMga paraan upang manatiling matatag ang relasyon ng Pamilya
Mga paraan upang manatiling matatag ang relasyon ng Pamilya
 
Mga Akda/Naisulat ni Dr. Jose Rizal
Mga Akda/Naisulat ni Dr. Jose RizalMga Akda/Naisulat ni Dr. Jose Rizal
Mga Akda/Naisulat ni Dr. Jose Rizal
 
Edukasyon ni Rizal
Edukasyon ni RizalEdukasyon ni Rizal
Edukasyon ni Rizal
 
PAGONG AT MATSING PART 2
PAGONG AT MATSING PART 2PAGONG AT MATSING PART 2
PAGONG AT MATSING PART 2
 
Modyul 8 pagsibol ng kamalayang pilipino
Modyul 8 pagsibol ng kamalayang pilipinoModyul 8 pagsibol ng kamalayang pilipino
Modyul 8 pagsibol ng kamalayang pilipino
 
Kung mangarap ka nang matagal
Kung mangarap ka nang matagalKung mangarap ka nang matagal
Kung mangarap ka nang matagal
 
Rizal
RizalRizal
Rizal
 
Romantic Period Music
Romantic Period MusicRomantic Period Music
Romantic Period Music
 
Paalam sa pagkabata
Paalam sa pagkabataPaalam sa pagkabata
Paalam sa pagkabata
 
Patakarang Ipinatupad ng mga Espanyol
Patakarang Ipinatupad ng mga EspanyolPatakarang Ipinatupad ng mga Espanyol
Patakarang Ipinatupad ng mga Espanyol
 
Migrasyon
MigrasyonMigrasyon
Migrasyon
 
Socio5 10 rizal’s trip to hong kong and macau
Socio5   10 rizal’s trip to hong kong and macauSocio5   10 rizal’s trip to hong kong and macau
Socio5 10 rizal’s trip to hong kong and macau
 
Ahensya nng pamahalaan at tungkulin
Ahensya nng pamahalaan at tungkulinAhensya nng pamahalaan at tungkulin
Ahensya nng pamahalaan at tungkulin
 
Ano ang ginamapanan ng el fili sa kasaysayan ng bansa
Ano ang ginamapanan  ng el fili sa kasaysayan ng bansaAno ang ginamapanan  ng el fili sa kasaysayan ng bansa
Ano ang ginamapanan ng el fili sa kasaysayan ng bansa
 
Nasyonalismo
NasyonalismoNasyonalismo
Nasyonalismo
 
ikalawang paglalakbay ni rizal
ikalawang paglalakbay ni rizalikalawang paglalakbay ni rizal
ikalawang paglalakbay ni rizal
 
Technology based art
Technology based artTechnology based art
Technology based art
 
Romanticism ( 1800 – 1810)
Romanticism ( 1800 – 1810)Romanticism ( 1800 – 1810)
Romanticism ( 1800 – 1810)
 
Mga nagawa ni Emilio Aguinaldo
Mga nagawa ni Emilio AguinaldoMga nagawa ni Emilio Aguinaldo
Mga nagawa ni Emilio Aguinaldo
 
Philippine National Heroes
Philippine National HeroesPhilippine National Heroes
Philippine National Heroes
 

Similar to PROJECTILE MOTION-Horizontal and Vertical

projectile motion horizontal vertical -170213175803 (1).pdf
projectile motion horizontal vertical -170213175803 (1).pdfprojectile motion horizontal vertical -170213175803 (1).pdf
projectile motion horizontal vertical -170213175803 (1).pdfMaAnnFuriscal3
 
projectile motion horizontal vertical -170213175803 (1).pdf
projectile motion horizontal vertical -170213175803 (1).pdfprojectile motion horizontal vertical -170213175803 (1).pdf
projectile motion horizontal vertical -170213175803 (1).pdfMaAnnFuriscal3
 
projectile motion grade 9-170213175803.pptx
projectile motion grade 9-170213175803.pptxprojectile motion grade 9-170213175803.pptx
projectile motion grade 9-170213175803.pptxPrincessRegunton
 
chapter 2_Projectile_Motion final (1) (1).pdf
chapter 2_Projectile_Motion final (1) (1).pdfchapter 2_Projectile_Motion final (1) (1).pdf
chapter 2_Projectile_Motion final (1) (1).pdfhend49
 
PAp physics 1&2_-_projectile_motion
PAp physics 1&2_-_projectile_motionPAp physics 1&2_-_projectile_motion
PAp physics 1&2_-_projectile_motionkampkorten
 
Physics 504 Chapter 10 Uniformly Accelerated Rectilinear Motion
Physics 504 Chapter 10 Uniformly Accelerated Rectilinear MotionPhysics 504 Chapter 10 Uniformly Accelerated Rectilinear Motion
Physics 504 Chapter 10 Uniformly Accelerated Rectilinear MotionNeil MacIntosh
 
Kinematics in Two Dimensions.pptx
Kinematics in Two Dimensions.pptxKinematics in Two Dimensions.pptx
Kinematics in Two Dimensions.pptxNeroSparda4
 
Projectile motion
Projectile motionProjectile motion
Projectile motionstephm32
 
Physics -vectors-projectile motion
Physics  -vectors-projectile motionPhysics  -vectors-projectile motion
Physics -vectors-projectile motionstephm32
 
Ch 12 (4) Curvilinear Motion X-Y Coordinate.pptx
Ch 12 (4) Curvilinear Motion X-Y  Coordinate.pptxCh 12 (4) Curvilinear Motion X-Y  Coordinate.pptx
Ch 12 (4) Curvilinear Motion X-Y Coordinate.pptxBilalHassan124013
 
Introduction to linear kinematics
Introduction to linear kinematicsIntroduction to linear kinematics
Introduction to linear kinematicsPontsho Mahlatsi
 
Projectile motion ch 5 reg
Projectile motion ch 5 regProjectile motion ch 5 reg
Projectile motion ch 5 regZBTHS
 
Ch 3 Two Dimensional Kinematics
Ch 3 Two Dimensional KinematicsCh 3 Two Dimensional Kinematics
Ch 3 Two Dimensional KinematicsScott Thomas
 
Chapter no. 7 projectile
Chapter no. 7 projectileChapter no. 7 projectile
Chapter no. 7 projectilePralhad Kore
 

Similar to PROJECTILE MOTION-Horizontal and Vertical (20)

PROJECTILE MOTION
PROJECTILE MOTIONPROJECTILE MOTION
PROJECTILE MOTION
 
projectile motion horizontal vertical -170213175803 (1).pdf
projectile motion horizontal vertical -170213175803 (1).pdfprojectile motion horizontal vertical -170213175803 (1).pdf
projectile motion horizontal vertical -170213175803 (1).pdf
 
projectile motion horizontal vertical -170213175803 (1).pdf
projectile motion horizontal vertical -170213175803 (1).pdfprojectile motion horizontal vertical -170213175803 (1).pdf
projectile motion horizontal vertical -170213175803 (1).pdf
 
projectile motion grade 9-170213175803.pptx
projectile motion grade 9-170213175803.pptxprojectile motion grade 9-170213175803.pptx
projectile motion grade 9-170213175803.pptx
 
Projectile motion by umakant bhaskar gohatre
Projectile motion  by umakant bhaskar gohatreProjectile motion  by umakant bhaskar gohatre
Projectile motion by umakant bhaskar gohatre
 
chapter 2_Projectile_Motion final (1) (1).pdf
chapter 2_Projectile_Motion final (1) (1).pdfchapter 2_Projectile_Motion final (1) (1).pdf
chapter 2_Projectile_Motion final (1) (1).pdf
 
PAp physics 1&2_-_projectile_motion
PAp physics 1&2_-_projectile_motionPAp physics 1&2_-_projectile_motion
PAp physics 1&2_-_projectile_motion
 
Projectile Motion
Projectile Motion Projectile Motion
Projectile Motion
 
Physics 504 Chapter 10 Uniformly Accelerated Rectilinear Motion
Physics 504 Chapter 10 Uniformly Accelerated Rectilinear MotionPhysics 504 Chapter 10 Uniformly Accelerated Rectilinear Motion
Physics 504 Chapter 10 Uniformly Accelerated Rectilinear Motion
 
Kinematics in Two Dimensions.pptx
Kinematics in Two Dimensions.pptxKinematics in Two Dimensions.pptx
Kinematics in Two Dimensions.pptx
 
Projectile motion
Projectile motionProjectile motion
Projectile motion
 
Ch#4 MOTION IN 2 DIMENSIONS
Ch#4 MOTION IN 2 DIMENSIONSCh#4 MOTION IN 2 DIMENSIONS
Ch#4 MOTION IN 2 DIMENSIONS
 
Physics -vectors-projectile motion
Physics  -vectors-projectile motionPhysics  -vectors-projectile motion
Physics -vectors-projectile motion
 
Projectile Motion 2.ppt
Projectile Motion 2.pptProjectile Motion 2.ppt
Projectile Motion 2.ppt
 
Ch 12 (4) Curvilinear Motion X-Y Coordinate.pptx
Ch 12 (4) Curvilinear Motion X-Y  Coordinate.pptxCh 12 (4) Curvilinear Motion X-Y  Coordinate.pptx
Ch 12 (4) Curvilinear Motion X-Y Coordinate.pptx
 
Introduction to linear kinematics
Introduction to linear kinematicsIntroduction to linear kinematics
Introduction to linear kinematics
 
Projectile motion ch 5 reg
Projectile motion ch 5 regProjectile motion ch 5 reg
Projectile motion ch 5 reg
 
Projectile Motion
Projectile MotionProjectile Motion
Projectile Motion
 
Ch 3 Two Dimensional Kinematics
Ch 3 Two Dimensional KinematicsCh 3 Two Dimensional Kinematics
Ch 3 Two Dimensional Kinematics
 
Chapter no. 7 projectile
Chapter no. 7 projectileChapter no. 7 projectile
Chapter no. 7 projectile
 

More from MAESTRELLAMesa2

SCIENCE-9-Q3-VOLCANO-Parts and types including definitions and examples here ...
SCIENCE-9-Q3-VOLCANO-Parts and types including definitions and examples here ...SCIENCE-9-Q3-VOLCANO-Parts and types including definitions and examples here ...
SCIENCE-9-Q3-VOLCANO-Parts and types including definitions and examples here ...MAESTRELLAMesa2
 
G9 Science Q4- Week 1-2 Projectile Motion.ppt
G9 Science Q4- Week 1-2 Projectile Motion.pptG9 Science Q4- Week 1-2 Projectile Motion.ppt
G9 Science Q4- Week 1-2 Projectile Motion.pptMAESTRELLAMesa2
 
GAS-LAWS -Properties of gases, relationships of temperature , volume and pres...
GAS-LAWS -Properties of gases, relationships of temperature , volume and pres...GAS-LAWS -Properties of gases, relationships of temperature , volume and pres...
GAS-LAWS -Properties of gases, relationships of temperature , volume and pres...MAESTRELLAMesa2
 
constellations-kinds and descriptions.pptx
constellations-kinds and descriptions.pptxconstellations-kinds and descriptions.pptx
constellations-kinds and descriptions.pptxMAESTRELLAMesa2
 
G9 Science Q3- Week 4_5- Factors that affect Climate.ppt
G9 Science Q3- Week 4_5- Factors that affect Climate.pptG9 Science Q3- Week 4_5- Factors that affect Climate.ppt
G9 Science Q3- Week 4_5- Factors that affect Climate.pptMAESTRELLAMesa2
 
Factors that Affect Climate-Science 9 (Earth Science)
Factors that Affect Climate-Science 9 (Earth Science)Factors that Affect Climate-Science 9 (Earth Science)
Factors that Affect Climate-Science 9 (Earth Science)MAESTRELLAMesa2
 
GEOTHERMAL-ENERGY-Harnessing the heat from the earth.
GEOTHERMAL-ENERGY-Harnessing the heat from the earth.GEOTHERMAL-ENERGY-Harnessing the heat from the earth.
GEOTHERMAL-ENERGY-Harnessing the heat from the earth.MAESTRELLAMesa2
 

More from MAESTRELLAMesa2 (7)

SCIENCE-9-Q3-VOLCANO-Parts and types including definitions and examples here ...
SCIENCE-9-Q3-VOLCANO-Parts and types including definitions and examples here ...SCIENCE-9-Q3-VOLCANO-Parts and types including definitions and examples here ...
SCIENCE-9-Q3-VOLCANO-Parts and types including definitions and examples here ...
 
G9 Science Q4- Week 1-2 Projectile Motion.ppt
G9 Science Q4- Week 1-2 Projectile Motion.pptG9 Science Q4- Week 1-2 Projectile Motion.ppt
G9 Science Q4- Week 1-2 Projectile Motion.ppt
 
GAS-LAWS -Properties of gases, relationships of temperature , volume and pres...
GAS-LAWS -Properties of gases, relationships of temperature , volume and pres...GAS-LAWS -Properties of gases, relationships of temperature , volume and pres...
GAS-LAWS -Properties of gases, relationships of temperature , volume and pres...
 
constellations-kinds and descriptions.pptx
constellations-kinds and descriptions.pptxconstellations-kinds and descriptions.pptx
constellations-kinds and descriptions.pptx
 
G9 Science Q3- Week 4_5- Factors that affect Climate.ppt
G9 Science Q3- Week 4_5- Factors that affect Climate.pptG9 Science Q3- Week 4_5- Factors that affect Climate.ppt
G9 Science Q3- Week 4_5- Factors that affect Climate.ppt
 
Factors that Affect Climate-Science 9 (Earth Science)
Factors that Affect Climate-Science 9 (Earth Science)Factors that Affect Climate-Science 9 (Earth Science)
Factors that Affect Climate-Science 9 (Earth Science)
 
GEOTHERMAL-ENERGY-Harnessing the heat from the earth.
GEOTHERMAL-ENERGY-Harnessing the heat from the earth.GEOTHERMAL-ENERGY-Harnessing the heat from the earth.
GEOTHERMAL-ENERGY-Harnessing the heat from the earth.
 

Recently uploaded

Detectability of Solar Panels as a Technosignature
Detectability of Solar Panels as a TechnosignatureDetectability of Solar Panels as a Technosignature
Detectability of Solar Panels as a TechnosignatureSérgio Sacani
 
B lymphocytes, Receptors, Maturation and Activation
B lymphocytes, Receptors, Maturation and ActivationB lymphocytes, Receptors, Maturation and Activation
B lymphocytes, Receptors, Maturation and ActivationBhanu Krishan
 
ERTHROPOIESIS: Dr. E. Muralinath & R. Gnana Lahari
ERTHROPOIESIS: Dr. E. Muralinath & R. Gnana LahariERTHROPOIESIS: Dr. E. Muralinath & R. Gnana Lahari
ERTHROPOIESIS: Dr. E. Muralinath & R. Gnana Laharimuralinath2
 
PLANT DISEASE MANAGEMENT PRINCIPLES AND ITS IMPORTANCE
PLANT DISEASE MANAGEMENT PRINCIPLES AND ITS IMPORTANCEPLANT DISEASE MANAGEMENT PRINCIPLES AND ITS IMPORTANCE
PLANT DISEASE MANAGEMENT PRINCIPLES AND ITS IMPORTANCETALAPATI ARUNA CHENNA VYDYANAD
 
Virulence Analysis of Citrus canker caused by Xanthomonas axonopodis pv. citr...
Virulence Analysis of Citrus canker caused by Xanthomonas axonopodis pv. citr...Virulence Analysis of Citrus canker caused by Xanthomonas axonopodis pv. citr...
Virulence Analysis of Citrus canker caused by Xanthomonas axonopodis pv. citr...TALAPATI ARUNA CHENNA VYDYANAD
 
Application of Mass Spectrometry In Biotechnology
Application of Mass Spectrometry In BiotechnologyApplication of Mass Spectrometry In Biotechnology
Application of Mass Spectrometry In BiotechnologyBhanu Krishan
 
Quantifying Artificial Intelligence and What Comes Next!
Quantifying Artificial Intelligence and What Comes Next!Quantifying Artificial Intelligence and What Comes Next!
Quantifying Artificial Intelligence and What Comes Next!University of Hertfordshire
 
Alternative method of dissolution in-vitro in-vivo correlation and dissolutio...
Alternative method of dissolution in-vitro in-vivo correlation and dissolutio...Alternative method of dissolution in-vitro in-vivo correlation and dissolutio...
Alternative method of dissolution in-vitro in-vivo correlation and dissolutio...Sahil Suleman
 
Triploidy ...............................pptx
Triploidy ...............................pptxTriploidy ...............................pptx
Triploidy ...............................pptxCherry
 
INSIGHT Partner Profile: Tampere University
INSIGHT Partner Profile: Tampere UniversityINSIGHT Partner Profile: Tampere University
INSIGHT Partner Profile: Tampere UniversitySteffi Friedrichs
 
Gliese 12 b, a temperate Earth-sized planet at 12 parsecs discovered with TES...
Gliese 12 b, a temperate Earth-sized planet at 12 parsecs discovered with TES...Gliese 12 b, a temperate Earth-sized planet at 12 parsecs discovered with TES...
Gliese 12 b, a temperate Earth-sized planet at 12 parsecs discovered with TES...Sérgio Sacani
 
The solar dynamo begins near the surface
The solar dynamo begins near the surfaceThe solar dynamo begins near the surface
The solar dynamo begins near the surfaceSérgio Sacani
 
GBSN - Microbiology Lab 1 (Microbiology Lab Safety Procedures)
GBSN -  Microbiology Lab  1 (Microbiology Lab Safety Procedures)GBSN -  Microbiology Lab  1 (Microbiology Lab Safety Procedures)
GBSN - Microbiology Lab 1 (Microbiology Lab Safety Procedures)Areesha Ahmad
 
Constraints on Neutrino Natal Kicks from Black-Hole Binary VFTS 243
Constraints on Neutrino Natal Kicks from Black-Hole Binary VFTS 243Constraints on Neutrino Natal Kicks from Black-Hole Binary VFTS 243
Constraints on Neutrino Natal Kicks from Black-Hole Binary VFTS 243Sérgio Sacani
 
A Giant Impact Origin for the First Subduction on Earth
A Giant Impact Origin for the First Subduction on EarthA Giant Impact Origin for the First Subduction on Earth
A Giant Impact Origin for the First Subduction on EarthSérgio Sacani
 
Mitosis...............................pptx
Mitosis...............................pptxMitosis...............................pptx
Mitosis...............................pptxCherry
 
Aerodynamics. flippatterncn5tm5ttnj6nmnynyppt
Aerodynamics. flippatterncn5tm5ttnj6nmnynypptAerodynamics. flippatterncn5tm5ttnj6nmnynyppt
Aerodynamics. flippatterncn5tm5ttnj6nmnynypptsreddyrahul
 
word2vec, node2vec, graph2vec, X2vec: Towards a Theory of Vector Embeddings o...
word2vec, node2vec, graph2vec, X2vec: Towards a Theory of Vector Embeddings o...word2vec, node2vec, graph2vec, X2vec: Towards a Theory of Vector Embeddings o...
word2vec, node2vec, graph2vec, X2vec: Towards a Theory of Vector Embeddings o...Subhajit Sahu
 
Exomoons & Exorings with the Habitable Worlds Observatory I: On the Detection...
Exomoons & Exorings with the Habitable Worlds Observatory I: On the Detection...Exomoons & Exorings with the Habitable Worlds Observatory I: On the Detection...
Exomoons & Exorings with the Habitable Worlds Observatory I: On the Detection...Sérgio Sacani
 
The Scientific names of some important families of Industrial plants .pdf
The Scientific names of some important families of Industrial plants .pdfThe Scientific names of some important families of Industrial plants .pdf
The Scientific names of some important families of Industrial plants .pdfMohamed Said
 

Recently uploaded (20)

Detectability of Solar Panels as a Technosignature
Detectability of Solar Panels as a TechnosignatureDetectability of Solar Panels as a Technosignature
Detectability of Solar Panels as a Technosignature
 
B lymphocytes, Receptors, Maturation and Activation
B lymphocytes, Receptors, Maturation and ActivationB lymphocytes, Receptors, Maturation and Activation
B lymphocytes, Receptors, Maturation and Activation
 
ERTHROPOIESIS: Dr. E. Muralinath & R. Gnana Lahari
ERTHROPOIESIS: Dr. E. Muralinath & R. Gnana LahariERTHROPOIESIS: Dr. E. Muralinath & R. Gnana Lahari
ERTHROPOIESIS: Dr. E. Muralinath & R. Gnana Lahari
 
PLANT DISEASE MANAGEMENT PRINCIPLES AND ITS IMPORTANCE
PLANT DISEASE MANAGEMENT PRINCIPLES AND ITS IMPORTANCEPLANT DISEASE MANAGEMENT PRINCIPLES AND ITS IMPORTANCE
PLANT DISEASE MANAGEMENT PRINCIPLES AND ITS IMPORTANCE
 
Virulence Analysis of Citrus canker caused by Xanthomonas axonopodis pv. citr...
Virulence Analysis of Citrus canker caused by Xanthomonas axonopodis pv. citr...Virulence Analysis of Citrus canker caused by Xanthomonas axonopodis pv. citr...
Virulence Analysis of Citrus canker caused by Xanthomonas axonopodis pv. citr...
 
Application of Mass Spectrometry In Biotechnology
Application of Mass Spectrometry In BiotechnologyApplication of Mass Spectrometry In Biotechnology
Application of Mass Spectrometry In Biotechnology
 
Quantifying Artificial Intelligence and What Comes Next!
Quantifying Artificial Intelligence and What Comes Next!Quantifying Artificial Intelligence and What Comes Next!
Quantifying Artificial Intelligence and What Comes Next!
 
Alternative method of dissolution in-vitro in-vivo correlation and dissolutio...
Alternative method of dissolution in-vitro in-vivo correlation and dissolutio...Alternative method of dissolution in-vitro in-vivo correlation and dissolutio...
Alternative method of dissolution in-vitro in-vivo correlation and dissolutio...
 
Triploidy ...............................pptx
Triploidy ...............................pptxTriploidy ...............................pptx
Triploidy ...............................pptx
 
INSIGHT Partner Profile: Tampere University
INSIGHT Partner Profile: Tampere UniversityINSIGHT Partner Profile: Tampere University
INSIGHT Partner Profile: Tampere University
 
Gliese 12 b, a temperate Earth-sized planet at 12 parsecs discovered with TES...
Gliese 12 b, a temperate Earth-sized planet at 12 parsecs discovered with TES...Gliese 12 b, a temperate Earth-sized planet at 12 parsecs discovered with TES...
Gliese 12 b, a temperate Earth-sized planet at 12 parsecs discovered with TES...
 
The solar dynamo begins near the surface
The solar dynamo begins near the surfaceThe solar dynamo begins near the surface
The solar dynamo begins near the surface
 
GBSN - Microbiology Lab 1 (Microbiology Lab Safety Procedures)
GBSN -  Microbiology Lab  1 (Microbiology Lab Safety Procedures)GBSN -  Microbiology Lab  1 (Microbiology Lab Safety Procedures)
GBSN - Microbiology Lab 1 (Microbiology Lab Safety Procedures)
 
Constraints on Neutrino Natal Kicks from Black-Hole Binary VFTS 243
Constraints on Neutrino Natal Kicks from Black-Hole Binary VFTS 243Constraints on Neutrino Natal Kicks from Black-Hole Binary VFTS 243
Constraints on Neutrino Natal Kicks from Black-Hole Binary VFTS 243
 
A Giant Impact Origin for the First Subduction on Earth
A Giant Impact Origin for the First Subduction on EarthA Giant Impact Origin for the First Subduction on Earth
A Giant Impact Origin for the First Subduction on Earth
 
Mitosis...............................pptx
Mitosis...............................pptxMitosis...............................pptx
Mitosis...............................pptx
 
Aerodynamics. flippatterncn5tm5ttnj6nmnynyppt
Aerodynamics. flippatterncn5tm5ttnj6nmnynypptAerodynamics. flippatterncn5tm5ttnj6nmnynyppt
Aerodynamics. flippatterncn5tm5ttnj6nmnynyppt
 
word2vec, node2vec, graph2vec, X2vec: Towards a Theory of Vector Embeddings o...
word2vec, node2vec, graph2vec, X2vec: Towards a Theory of Vector Embeddings o...word2vec, node2vec, graph2vec, X2vec: Towards a Theory of Vector Embeddings o...
word2vec, node2vec, graph2vec, X2vec: Towards a Theory of Vector Embeddings o...
 
Exomoons & Exorings with the Habitable Worlds Observatory I: On the Detection...
Exomoons & Exorings with the Habitable Worlds Observatory I: On the Detection...Exomoons & Exorings with the Habitable Worlds Observatory I: On the Detection...
Exomoons & Exorings with the Habitable Worlds Observatory I: On the Detection...
 
The Scientific names of some important families of Industrial plants .pdf
The Scientific names of some important families of Industrial plants .pdfThe Scientific names of some important families of Industrial plants .pdf
The Scientific names of some important families of Industrial plants .pdf
 

PROJECTILE MOTION-Horizontal and Vertical

  • 2. LEARNING OBJECTIVES • Define Projectile Motion • Explain Projectile Motion • Identify the types of Projectile Motion • Differentiate the types of Projectile Motion • Explain and summarize all the kinematics equation in solving Projectile Motion problems • Solve problems involving the types of Projectile Motion
  • 3. WHATIS PROJECTILE? Projectile -Any object which projected by some means and continues to move due to its own inertia (mass).
  • 4. PROJECTILES MOVEIN TWO DIMENSIONS A projectile moves in 2 - dimensions, therefore, it has 2 components just like a resultant vector.
  • 5. HORIZONTAL “VELOCITY” COMPONENT • It NEVER changes, covers equal displacements in equal time periods. This means the initial horizontal velocity equals the final horizontal velocity In other words, the horizontal velocity is CONSTANT. BUT WHY? Gravity DOES NOT work horizontally to increase or decrease the velocity.
  • 6. VERTICAL “VELOCITY” COMPONENT • Changes (due to gravity), does NOT cover equal displacements in equal time periods. Both the MAGNITUDE and DIRECTION change. As the projectile moves up the MAGNITUDE DECREASES and its direction is UPWARD. As it moves down the MAGNITUDE INCREASES and the direction is DOWNWARD.
  • 7. COMBININGTHE COMPONENTS These components produce what is called a TRAJECTORYor path. This path is PARABOLIC in nature. Component Magnitude Direction Horizontal Constant Constant Vertical Changes Changes
  • 8. HORIZONTALLY LAUNCHED PROJECTILES Projectiles which have NO upward trajectory and NO initial VERTICAL velocity. v  v  constant ox x v oy  0m / s
  • 9. HORIZONTALLYLAUNCHEDPROJECTILES To analyze a projectile in 2 dimensions we need 2 equations. One for the “x” direction and one for the “y” direction. And for this we use kinematic #2. x  v t ox y  12 gt2 Remember, the velocity is CONSTANT horizontally, so that means the acceleration is ZERO! Remember that since the projectile is launched horizontally, the INITIAL VERTICALVELOCITYis equal to ZERO.
  • 10. HORIZONTALLYLAUNCHEDPROJECTILES Example: A plane traveling with a horizontal velocity of 100 m/s is 500 m above the ground. At some point the pilot decides to drop some supplies to designated target below. (a) How long is the drop in the air? (b) How far away from point where it was launched will it 1 land?1 y  gt 2  500  (9.8)t 2 2 2 102.04  t2  t  10.1 seconds ox x  v t  (100)(10.1)  1010 m What do I know? What I want to know? vox=100 m/s t = ? y = 500 m x = ? voy= 0 m/s g = -9.8 m/s/s
  • 11. VERTICALLYLAUNCHEDPROJECTILES NO Vertical Velocity at the top of the trajectory. Vertical Velocity decreases on the way upward Horizontal Velocity is constant Vertical Velocity increases on the way down, Component Magnitude Direction Horizontal Constant Constant Vertical Decreases up, 0 @ top, Increases down Changes
  • 12. VERTICALLYLAUNCHEDPROJECTILES vo voy Since the projectile was launched at a angle, the velocity MUST be broken into components!!! v v oy ox o o  v cos  v sin  vox
  • 13. VERTICALLYLAUNCHED PROJECTILES There are several things you must consider when doing these types of projectiles besides using components. If it begins and ends at ground level, the “y” displacement is ZERO: y = 0
  • 14. VERTICALLYLAUNCHEDPROJECTILES You will still use kinematic #2, but YOU MUST use COMPONENTS in the equation. vo voy xv t ox oy yv t  12gt2  vox ox v v oy o o  v cos  v sin
  • 15. EXAMPLE A place kicker kicks a football with a velocity of 20.0 m/s and at an angle of 53 degrees. (a) How long is the ball in the air? (b) How far away does it land? (c) How high does it travel? ox  v cos o  20cos53 12.04 m / s    v v ox v  v sin oy v oy o  20sin53 15.97m / s
  • 16. EXAMPLE A place kicker kicks a football with a velocity of 20.0 m/s and at an angle of 53 degrees. (a) How long is the ball in the air? oy y  v t  1 2 gt2  0  (15.97)t  4.9t2 15.97t  4.9t2 15.97  4.9t t  3.26 s What I know What I want to know vox=12.04 m/s t = ? voy=15.97 m/s x = ? y = 0 ymax=? g = - 9.8 m/s/s
  • 17. EXAMPLE A place kicker kicks a football with a velocity of 20.0 m/s and at an angle of 53 degrees. (b) How far away does it land? ox x  v t  (12.04)(3.26)  39.24 m What I know What I want to know vox=12.04 m/s t = 3.26 s voy=15.97 m/s x = ? y = 0 ymax=? g = - 9.8 m/s/s
  • 18. SAMPLE PROBLEM: A place kicker kicks a football with a velocity of 20.0 m/s and at an angle of 53 degrees. (c) How high does it travel? y  v t oy  12 gt2 CUTYOURTIME IN HALF! y  13.01 m y  (15.97)(1.63) 4.9(1.63)2 What I know What I want to know vox=12.04 m/s t = 3.26 s voy=15.97 m/s x = 39.24 m y = 0 ymax=? g = - 9.8 m/s/s
  • 19. BASICS STUDENTS SHOULD KNOW 1. What is a Projectile Motion? 2. What is a Projectile? 3. What is aTrajectory? 4. Why is Horizontal Velocity is constant all throughout in Projectile Motion? 5. Why is Vertical velocity is zero at maximum height? 6. What is changing in Projectile Motion? 7. What is the difference between Half Projectile Motion and Full Projectile Motion? 8. What is the difference Half-Time and Hang-Time? 9. Is there an acceleration along the horizontal in Projectile Motion? 10. Is there an acceleration along the vertical in Projectile Motion? What is it?
  • 22. PROJECTILE MOTION Voy=0 HORIZONTAL ax = o, Vox=Vx = constant Half projectile: R= Voxt Full Projectile: X = Xo + Voxt R = VoxT VERTICAL Half Projectile: Y=1/2 ag t², use ag = -9.8 m/s² Full Projectile: @max pt/ht: Vy=0, use ag = -9.8 m/s² Y = Yo + Voyt + ½ agt²
  • 23. OTHER KINEMATICS EQUATIONS TO BE USED IN PROJECTILE MOTION 1. Vox = Vo cos ø 2. Voy = Vo sin ø 3. V = √Vx² + Vy² 4. Ø = tanˉ¹ (Voy/Vox) or Vy/Vx 5. Vy² = Voy² + 2 agY 6. Vy = Voy + agt
  • 24. MORE EXAMPLES 1. A slingshot is used to launch a stone horizontally from the top of a 20.0 meter cliff. The stone lands 36.o meters away. a. At what speed was the stone launched? (17.82 m/s) b. What is the speed and angle of impact? ( 26.64 m/s, -47.98 degrees) 2. A cannon fires a cannonball 500.0m downrange when set at 45 degree angle. At what velocity does the cannonball leave the cannon? (Answer: 70.0m/s)
  • 25. EVALUATION 1. A punter in a football game kicks a ball from the goal line at 60 degrees from the horizontal at 25.0 m/s a. What is the hang time of the punt? (Ans: 4.41 s) b. How far downfield does the ball land? (Ans: 55.2m) 2. A skier leaves the horizontal end of a ramp with a velocity of 25.0m/s and lands 70.0 m from the base of the ramp. How high is the end of the ramp from the ground? (Answer: 38.5 m)
  • 26. ASSIGNMENT 1. What is a Momentum 2. What is an Impulse 3. Bring the following a. Block of Wood b. Masking Tape c. Protractor d. Ruler/Meter Stick