The document covers uniformly accelerated motion (UAM) and projectile motion, describing key concepts, definitions, and relevant equations. It explains the independence of horizontal and vertical motions, with specific attention to factors such as acceleration due to gravity and the trajectory of projectiles. Additionally, it includes exercises and tests to assess understanding of these principles.

1. UNIFORMLY
ACCELERATED MOTION
(UAM)
QUARTER 4
MODULE 1

2. Most Essential Learning Competency
➢ Describe the horizontal and vertical motions of a projectile. (S9FE-lVa-34)
EXPECTATION
1. define uniformly accelerated motion operationally.
2. describe uniformly accelerated motion (horizontal and vertical)
qualitatively and quantitatively.
3. describe the horizontal and vertical motions of a projectile.
4. label a diagram illustrating projectile motion by indicating the range,
height, trajectory, initial horizontal velocity, and initial vertical velocity.
5. cite applications of projectile in everyday living.

3. 1. Which of the following quantities changes at a constant rate in a body in
uniformly accelerated motion?
A. Time B. Speed C. Velocity D. Acceleration
2. What will happen to an object as it falls when it undergoes free fall
motion?
A. It’s speed increases
B. It’s velocity increases
C. Its acceleration remains the same
D. all of these
PRE-TEST

4. 3. At what point in its path is the horizontal component of the velocity (vx) of
a projectile the smallest?
A. At the top
B. Halfway to the top
C. The instant it is thrown
D. It is the same throughout the path
4. A basketball is shot into the ring at an angle with the horizontal. What
can you say of the ball’s velocity at the very top of its path? At the very
top of the ball's path, its velocity is _______.
A. entirely vertical
B. entirely horizontal
C. both vertical and horizontal
D. not enough information given to know

5. 5. Which of the following does NOT exhibit a projectile motion?
A. A golf ball in flight.
B. A baseball hit by a bat.
C. A volleyball served over a net.
D. A hot air balloon floating in the sky.

6. GRADE 7-8 LESSON
LOOKING BACK
0
1

13. SPEED
or
VELOCITY?
VELOCITY
SPEED
VELOCITY
SPEED
SPEED
VELOCITY
SPEED
VELOCITY
SPEED
VELOCITY

17. The Law of 1. __________(Inertia/Acceleration)
The acceleration of an object is 2. _____________
(directly/inversely) proportional to the magnitude of
the net force acting on it, in the 3. _____________
(same/opposite) direction as the net force, and 4.
_____________ (directly/inversely) proportional to
the 5. _____________ (mass/weight) of the object.
Choose from the two options inside the parenthesis for each number.
Newton’s Second Law of Motion:
2021
2022

18. Seatwork #1: Choose the letter of the correct answer.
1. What do you call the distance covered over a period of time.
a. speed b. velocity c. acceleration d. displacement
2. What is the formula in calculating speed?
a. time ÷ distance b. distance ÷ time c. time x distance d.
distance x time
3. What branch of Physics deals with sound?
a. mechanics b. thermodynamics c. acoustics d. optics
4. Which of the following is a scalar quantity?
a. distance b. displacement c. Velocity d. Acceleration
5. Which is the correct unit for acceleration?
a. m/s b. m/s2
c. m/s3
d. s/m2

19. INTRODUCTION
0
1

20. UAM
Uniformly Accelerated Motion (UAM), the
acceleration of a body is constant or does not
change. It is the velocity which changes but
the change is at a constant rate meaning the
same change in velocity at equal interval of
time. For example: A constant acceleration of
1 m/s2
means that velocity changes by 1 m/s each
second.

21. UAM
An object with zero acceleration is said to be in UNIFORM
MOTION; that is velocity is constant (meaning there is no change
in the object’s speed and no change in the direction of motion)

22. An object in UNIFORMLY ACCELERATED MOTION has non-zero
acceleration though velocity changes, it has a constant rate of
change.

23. UAM
In general, a uniformly
accelerated motion is the
one in which the
acceleration of a body
throughout the motion is
uniform. It can be observed
in either vertical or
horizontal dimension, and in
two dimensions.

24. Free-fall
The acceleration due
to gravity neglecting
air resistance, is a
constant acceleration
for all falling bodies,
regardless of their
masses.
9.8m/s2
All objects on the earth’s
surface are being
accelerated toward the
center of the earth at a
rate of 9.8 m/s2
(can use a
negative sign to indicate
that gravity is pulling an
object downward).

25. Projectile Motion
1. Projectile- is a body travelling in
projectile motion.
2. Trajectory- is a curved path travelled by
a projectile.
3. Range- is the horizontal distance traveled
by a projectile.
4. Height- is the vertical distance travelled
by a projectile.

26. height
range
projectile trajectory
PROJECTILE MOTION

27. POINTS TO REMEMBER
1. The horizontal
and vertical
motions are
completely
independent of each
other. Therefore,
the velocity of a
projectile can be
separated into the
horizontal and
vertical components

28. POINTS TO REMEMBER
2. Projectile
always maintain a
constant horizontal
velocity
(neglecting air
resistance).

29. POINTS TO REMEMBER
3. There is a
constant vertical
acceleration 0f
9.8m/s2
downward
(neglecting air
resistance) for
projectiles.

30. An object dropped from rest
A body thrown upward
at an angle to the
horizontal
A body that is thrown
vertically upward
TYPES OF PROJECTILE
An object
dropped
freely from
rest is a
projectile
(provided that
the influence
of air
resistance is
negligible)
An object that is
thrown
vertically
upward is also a
projectile
(though an
object thrown
upward is also
in free fall after
it leaves the
hand)
An object that is thrown
horizontally or thrown upward
at an angle to the horizontal
(and is influenced only by the
downward force of gravity).

31. Distance - Time Velocity - Time Acceleration - Time

32. Guide Questions:
What can you infer from the motion of the car in the illustration above?
Assuming that the position of the car is at equal interval of time.
1. Describe the motion by using the following motion descriptors and choosing
from the description – increases, decreases, constant, uniform)
a. distance ___________________________________________________
b. speed _____________________________________________________
c. velocity ____________________________________________________
d. acceleration ________________________________________________
2. How does the graph for constant acceleration look like?
(Describe the shape of the graph – you can choose from parabolic, straight-line
graph inclined to the left or right, straight-horizontal or straight vertical line graph)
a. Position x versus time t ________________________________________
b. Velocity v versus time t ________________________________________
c. Acceleration a versus time t _____________________________________
3. Give the value of the acceleration of the car in m/s2
. __________________
4. What do the graphs tell you about the motion of the car? ______________
___________________________________________________
increasing
increasing
increasing
constant
parabolic
Straight-line inclined
Straight horizontal
1 m/s2
The car is in uniform acceleration

33. 2
1 3
4
5

34. Directions: Label the diagram by choosing from the set of quantities which are elements of
projectile motion (height, range, vertical velocity, horizontal velocity, maximum height,
angle of projection).

35. Directions: Label the diagram by choosing from the set of quantities which are elements of
projectile motion (height, range, vertical velocity, horizontal velocity, maximum height,
angle of projection).

36. Let’s assume
that:
g= 10 m/s

38. 20 40 20 20

39. CHECK-YOUR
UNDERSTANDING
0
2

40. TRUE
Acceleration
Constant
TRUE
9.8 m/s2
TRUE
Trajectory
TRUE
TRUE
TRUE

41. POST-TEST
0
2

42. 1. The motion of an object with constant
acceleration is also known as_________________.
A. uniform motion
B. constant velocity
C. constant motion
D. uniformly accelerated motion

43. 2. Roll a ball off the edge of a table. As it
falls, its horizontal component of velocity_.
A. increases
B. decreases
C. remains constant
D. increases then decreases

44. 3. At what point in its path is the vertical
component of the velocity (vy) of a projectile
the smallest?
A. At the top
B. As it nears the top
C. Halfway to the top
D. It is the same throughout the path

45. 4. Supposed a volleyball is tossed. When the ball
reaches the highest point or the maximum height,
which statement about the volleyball’s velocity and
acceleration is true?
A. Neither its velocity nor acceleration is zero
B. Both its velocity and its acceleration are zero
C. Its velocity is zero and its acceleration is not zero.
D. Its velocity is not zero and its acceleration is zero.

46. 5. Which of the following descriptions of moving
objects does NOT accurately portray a
projectile?
A. A free-falling object
B. A falling feather in a vacuum chamber
C. A falling skydiver with an open parachute
D. A falling feather in a falling vacuum chamber

47. — Albert
Einstein
"There is a motive force more
powerful than steam,
electricity and atomic energy:
the will."

48. 0
4