Guess the Gibberish
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Guess the Gibberish
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FORCE
How do you define force?
Units of force?
Effects of force?
Guess the Gibberish
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Guess the Gibberish
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MOTION
• How do you define Motion?
• How can you say that the object is in Motion?
Guess the Gibberish
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Guess the Gibberish
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SPEED
• How do you define Speed?
• Formula of speed?
• Units of speed?
Guess the Gibberish
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Guess the Gibberish
VELOCITY
• How do you define Velocity?
• Formula of Velocity?
• Units of velocity?
Guess the Gibberish
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Guess the Gibberish
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ACCELERATION
• How do you define Acceleration?
• Units of Acceleration?
• Formula of Acceleration?
Guess the Gibberish
+
+
Guess the Gibberish
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INERTIA
• How do you define Inertia?
• Examples of Inertia
Guess the Gibberish
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Guess the Gibberish
GRAVITY
• How do you define Gravity?
• Effects of gravity
Guess the Gibberish
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+
Guess the Gibberish
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DISTANCE
• How do you define distance?
• Unit of Distance
Guess the Gibberish
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Guess the Gibberish
VECTOR
• How do you define
Vector?
• Example of vector
Guess the Gibberish
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Guess the Gibberish
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SCALAR
• How do you define Scalar?
• Example of Scalar
Guess the Gibberish
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+
Guess the Gibberish
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NEWTON’S LAW OF MOTION
• How do you define Newton’s Law of
motion?
• What are the Newton’s Law of Motion?
• Example of Newton’s Law of Motion?
9th grade
Horizontal and
Vertical motion of
Projectile
At the end of the lesson, the learner
should be able to;
01 projectile
define the definition of a describe the horizontal and vertical
motion; 02 components of the velocity of a
projectile (S9-FE-IVa-34);
describe numerically the use kinematic equations to
03 various features associated
with a projectile’s trajectory
04 analyze and solve horizontally
launched projectile problems;
and
apply projectile motion to daily
05
activities
Which will fall first:
Directions: Perform the activity below and write your observations in your
notebook/on a separate sheet of paper.
Materials: 2-1-peso coin (should be identical) table, paper, pen.
Procedures:
1. Place the two coins at the edge of a table.
2. At the same time, push one coin a little bit just to make it fall and flick the
other coin.
3. Listen for the sounds of the coins hitting the floor.
4. Repeat the procedure three times.
Which will fall first:
Guide Questions:
1. Which fall first?
2. What do you observe to the time of the two coins just before hitting the floor?
3. What is the relationship between the velocity and the time of the coin before
hitting the floor?
Horizontal and Vertical
motion of Projectile
01 How do you describe Projectile motion?
02 How do you describe Projectile?
03 How do you describe Trajectory?
2.Two components of projectile motion
• Vertical Motion
• Horizontal Motion
2.2 Horizontally launched Projectile
In the absence of gravity, the
coin that you flicked will
continue to move horizontally,
consistent with the law of
inertia.
Horizontally launched Projectile
The downward velocity increases
uniformly due to gravity as shown
by the vector arrows of increasing
lengths. The presence of gravity
does not affect the horizontal
motion of the projectile.
Horizontally launched projectile
If the air resistance is neglected, the
projectile moves horizontally at a
constant speed, as it falls vertically
with a due to gravity ( 9.8 m/s); for
example suppose that a stone is
launched horizontally with no upward
angle initial speed of 15 m/s.
Horizontally Launched Projectile
Time Horizontal Velocity (V) Vertical Velocity(Vy)
0s 15 m/s 0 m/s
1s 15m/s -9.8 m/s
2s 15m/s -19.6 m/s
3s 15 m/s -29.4 m/s
4s 15 m/s -39.2 m/s
5s 15 m/s -49 m/s
A. Horizontal Projectiles (Semi Parabolic)
height (h)
or dy
range (R)
or dx
Distance traveled Velocity Acceleration
Horizontal component vx (constant)
range (R) zero (0)
(x)
Vertical vy (increasing)
height (h) g (9.8 m/s2)
component (y)
3.The motion of a projectile is simplified in the table
below.
Horizontal Vertical Motion
Motion
Force that None Force of the
affects the Earth’s gravity
motion
Acceleration No Acceleration due
(change in the the earth’s
velocity per gravity (Ag = 9.8
second) m/s^2 )
Velocity Constant Changing by 9.8
(no change) m/ second
Varieties of Projectile Motion:
● Projectile
Thrown at a
certain Angle
Varieties of Projectile Motion:
● Projectile
launched
horizontally
5. Understanding horizontal and vertical
components numerically.
6. Kinematic Equations
Horizontal Vertical
motion Motion
Acceleration(a) ax = 0 ay = 9.8 m/s2
Velocity (v) Vfx= Vix Vfy= Viy- agt
Distance R or dx = Vxt h or dy= 1/2 agt 2
traveled (d)
Instantaneous speed V= √ vx^2 + vy^2
Equations of Horizontal Projections
Horizontal Vertical
(x) (y)
Distance R or dx = h or dy = ½
Traveled vxt gt2
Speed vx = vix vy = gt
Instantaneous speed (v) the
projectile’s speed at a given time
which is the combination of
horizontal and vertical speeds.
In symbols,
v = vx2 + vy2
Kinematic Equations for Projectile
Motion
Sample Problem:
1.A stone is thrown horizontally from a cliff with a velocity of 7m/s.
a.) What is the final vertical velocity of the stone after 3 seconds?
b.) What is the Range?
GIVEN: : V=7m/s V iy = 0 m/s
t=3s a g = 9.8 m/s²
SOLUTION: Vfy = viy - agt
Vfy = 0 - (9.8 m/s²) (3s)
Vfy= -29.4 m/s
Sample Problem:
2. An airplane accelerates down a runway at 3.20 m/s² for 32.8 s until is
finally lifts off the ground. Determine the distance traveled before takeoff.
Given: Vfy= 45m/s Viy = 0 m/s
t =? a g = 9.8 m/s²
Solution: Vfy = viy – agt
-45m/s = 0m/s – 9.8m/s² (t)
t = - 45m/s
-9.8 m/s²
t= 4.59 s
Sample Problem:
3. A man dives from cliff and reaches the water with a vertical velocity of
45m/s. How much time had elapsed before he reach the water?
Given: Vfy= 45m/s Viy = 0 m/s
t =? a g = 9.8 m/s²
Solution: Vfy = viy – agt
-45m/s = 0m/s – 9.8m/s² (t)
t = - 45m/s
-9.8 m/s²
t= 4.59 s
Problem solving:
1.A billiard ball strike horizontally from the billiard table with the velocity of
10 m/s?
a.)What is the vertical velocity of billiard ball after 5 second?
b.)What is Range?
2.A kite descends to the Field at 5.60 m/s² for 45.3 s until it finally landed off
the ground. What is the distance travelled before ascend?
3.A moving plane drops off a package at a speed of 25 m/s.
a.)What is the vertical velocity of the package after 20seconds?
b.) What is Range?
Examples of Projectile
Guide Questions
● How do you define Projectile Motion?
● How do you differentiate vertical and horizontal
components of the velocity of projectile?
● How do you describe the various features associated with
a projectile’s trajectory?
Problem Solving:
Directions: Analyze and solve the following problems in your notebook/on a separate
sheet of paper. Show your solutions.
1. From a tall building, a girl throws a piece of paper at a velocity of 5m/s. What is the
horizontal velocity of the paper after 5 seconds?
2. At what time will a ball thrown horizontally reach its velocity at 19.6 m/s
downwards?
3. A stone is thrown at a speed of 15m/s. What is the horizontal velocity after six
seconds?
4. A stone is thrown at a speed of 15m/s. What is the vertical velocity after six
seconds?
Sample Problem:
1.A billiard ball strike horizontally from the billiard table with the velocity of 10
m/s? What is the vertical velocity of billiard ball after 5 second?
GIVEN:V=7m/s Viy = 0 m/s
t=3s ag= 9.8 m/s²
ASKED: vertical velocity of billiard ball
FORMULA: Vfy
SOLUTION: Vfy = viy - agt
Vfy = 0 - (9.8 m/s²) (5s )
Vfy= - 49 m/s
Sample Problem:
2.An airplane accelerates down a runway at 3.20 m/s² for 32.8 s until is
finally lifts off the ground. Determine the Distance traveled before takeoff.
GIVEN: a = 3.20m/s² d=?
t = 32.8 s
ASKED: Distance travelled before takeoff (d)
FORMULA: h or dy = 1/2 gt ²
SOLUTION: d= 1/2 gt²
= 1/2 (3.20m/s²) (32.8s)²
= 1721.344 m
Sample Problem:
3.A kite descends to the Field at 5.60 m/s² for 45.3 s until it finally landed
off the ground. What is the distance travelled before ascend?
GIVEN: a= 5.60 m/s²
t = 45.3 s d?
ASKED: distance
FORMULA: : h or dy = 1/2 gt ²
SOLUTION: d= 1/2 gt²
= 1/2 (5.60m/s²) (45.3s)²
=11 481. 704 m
Sample Problem
4. A moving plane drops off a package at a speed of 25 m/s. What is the
vertical velocity of the package after 20seconds?
GIVEN: g = 25m/s
t = 20 seconds Viy= 0
ASKED: vertical velocity (Vfy)
FORMULA : Vfy = Viy - gt
SOLUTION: Vfy = Viy - gt
0 - (25 m/s) (20s)
0-500 m
= 500m
Assignment:
Direction: Do the following in your notebook or on a separate
sheet of paper.
1. Enumerate at least five (5) things that make use of projectiles
in everyday life.
2. Choose one from your answers in number one and draw it.
3. Explain how projectile motion helps you improve real-life
situations.
That’s all for Today.
Thankyouu,Everyoneee.
