Projectile motion, free fall and circular motion

1. MOTION
IN 2D

2. Learning Outcomes
Intended
Learning
Outcome
To solve multi-concept, rich-content problems
involving measurement using experimental and
theoretical approaches involving motion in two (2)
dimension
Most Essential
Learning
Competency
LO14. Describe motion using the concept of
relative velocities in 2D
LO14. Deduce the consequences of the
independence of vertical and horizontal
components of projectile motion
LO15. Calculate range, time of flight, and
maximum heights of projectiles
LO16. Infer quantities associated with circular
motion such as tangential velocity, centripetal

3. Circular
Motion
Non-
Horizontally
Launched
Free Fall
Motion
01 02
03 04
Table of contents
Horizontally
Launched Motion

4. "Even life itself can be considered a
projectile: launched with purpose, affected
by forces along the way, rising and falling,
yet always following a path shaped by your
initial aim.“
- Carl Jung

5. Free Fall
01

6. Free Fall
Free fall is the motion of
an object under the
influence of gravity
alone, without air
resistance and other
external forces acting on
it, resulting in a constant
acceleration.
Galileo Galilei
Experiment
• Object’s speed increases
as it falls.
• During each seconds, the
speed changes by 9.8
m/s2
.
• All objects in free fall
accelerate at the same
rate as the speed
changes due to gravity.

7. • As the Time increases, the
Distance increases
exponentially.
• As the time Increases, the
Velocity increases.
• As the Time increases,
Acceleration remains the

8. Free Fall
• Free fall does not mean that an
object is falling down only
• Objects thrown
upward/downward and those
released from rest are all
examples of free fall

9. Free Fall
For an object in free fall, we can use the kinematic
equation terms:

10. Sample
Problem

11. Sample
Problem

12. Activity
Time
A stone is thrown vertically upward with a
velocity of 10 m/s from a window 50 meters
above the ground level.
A. How high will the stone reach?
B. How much time will it take to hit the
ground?
C. With what velocity will it strike the ground?

13. A stone is thrown vertically upward with a velocity of 10 m/s from a
window 50 meters above the ground level.
A. How high will the stone reach?
B. How much time will it take to hit the ground?
C. With what velocity will it strike the ground?
Activity
Time

14. Projectile
Motion:
Horizontally
Launched
02

15. Projectile Motion
A projectile is any object thrown into space upon which the only
acting force is gravity. This doesn’t necessarily mean that other
forces do not act on it, just that their effect is minimal compared
to gravity.
Can you give
few examples
of Projectile
Motion ?

16. Projectile Motion
Projectile motion is a combination of two
motions:
-Horizontal motion with constant velocity
-Vertical motion with constant acceleration
Projectile motion can be launch in two ways:
-Horizontally Launch
-Angular Launch
Horizontally Launch

17. Projectile Motion
Key Terms:
• Trajectory – curve path followed by a projectile.
• Time of flight – the time taken by the projectile to cover the entire
trajectory.
• Maximum height of projectile (dy) – the maximum vertical distance
travelled by the projectile from the ground level during its motion.
• Horizontal range of projectile (dx) – the horizontal distance travelled by the
projectile during entire motion.

18. HORIZONTAL
PROJECTION
If an object is projected horizontally, its motion can best be
described by considering its horizontal and vertical motion
separately.
In the figure we can see that the vertical velocity and position
increase with time as those of a free-falling body.
Note that the horizontal distance increases linearly with time,
indicating a constant horizontal velocity.

19. HORIZONTAL
PROJECTION
= 0
0
0
𝑽 𝒇𝒙=𝑽 𝒊𝒙
= 0
= constant
= g = -9.8m/s2
Horizontal motion
Vertical motion
Overall Final Velocity

20. Sample
Proble
m

21. Exercise 1: Multiple choice
1. According to Newton's first law of
motion, an object at rest tends to stay at
rest unless acted upon by
a) A balanced force
b) An unbalanced force
c) Gravity
d) Friction
2. Which of the following is an example of
Newton's second law of motion?
a) A ball rolling down a hill
b) A person sitting on a chair.
c) A rocket launching into space.
d) A book resting on a table.
3. According to Newton's first law of motion, an object in motion will continue moving
with the same speed and direction unless acted upon by
a) Friction
b) Gravity
c) Air resistance
d) An external force Look at the answers

22. Mercury Mars Venus
Balanced and unbalanced
Mercury is the closest
planet to the Sun and the
smallest of them all
Despite being red, Mars
is actually a cold place.
It’s full of iron oxide dust
Venus has a beautiful
name and is the second
planet from the Sun

23. Jupiter
Jupiter is the biggest
planet of them all
Saturn is a gas giant and
has several rings
Static objects
Venus
Venus has extremely
high temperatures
Mars is actually a very
cold place
Saturn
Mars

24. Jupiter
Neptune is the farthest
planet from the Sun
Venus has extremely high
temperatures
Jupiter is the biggest
planet of them all
Neptune
Action-reaction pairs
Saturn Mercury
Saturn is a gas giant with
several rings
Mercury is the closest
planet to the Sun
Mars is actually a very
cold place
Venus Mars

25. Exercise 2: Complete concepts
Complete the following sentences with the appropriate terms:
● According to Newton's second law of motion, the acceleration of an
object is directly proportional to the 1._____________ applied to it and
inversely proportional to its 2._____________.
● Newton's third law states that for every action, there is an equal
and opposite 3._____________.
● Newton's third law states that for every action, there is an equal
and opposite 4._____________. This law highlights the interplay
between interacting objects.
Look at the answers

26. —Someone Famous
“This is a quote, words full of
wisdom that someone
important said and can make
the reader get inspired”

27. A picture is
worth a
thousand words

28. Forces in
equilibrium:
Static objects
Images reveal large amounts of data,
so remember: use an image instead of
a long text. Your audience will
appreciate it

29. Law of universal gravitation
Mercury
65% 35%
Mars
Despite being red, Mars
is actually a cold place.
It’s full of iron oxide dust
Venus has a beautiful
name and is the second
planet from the Sun
Mercury is the closest
planet to the Sun and the
smallest of them all
Venus
10%

30. Law of Inertia
03
You can enter a subtitle here if you need it

31. Exercise 3: Match terms
Match the following terms with their corresponding descriptions:
Terms Descriptions
1. Inertia
2. Force
3. Acceleration
a. The tendency of an object to
resist changes in its motion
b. The tendency of an object to
resist changes in its motion
c. The tendency of an object to
resist changes in its motion
Look at the answers

32. Computer mockup
You can replace the image on the screen with your own
work. Just right-click on it and select “Replace image”

33. You can replace the image on the screen
with your own work. Just right-click on it
and select “Replace image”
Tablet mockup

34. You can replace the image on the screen
with your own work. Just right-click on it
and select “Replace image”
Phone mockup

35. Newton's laws
Mars
Venus has a beautiful
name and is the second
planet from the Sun. It’s
terribly hot, even hotter
than Mercury, and its
atmosphere is
extremely poisonous

36. Newton's laws timeline
Venus
Venus is the
second planet
from the Sun
Mercury
Mercury is the
closest planet to
the Sun
Mars
Despite being red,
Mars is a very
cold place
Jupiter
Jupiter is the
biggest planet of
them all
16XX 16XX 17XX 17XX
Earth
Earth is the only
planet that
harbors life
17XX

37. Elastic vs. inelastic
● Neptune is far
away from us
● Neptune is the
eighth planet
Neptune
Saturn
Saturn is a gas giant
with several rings
● Mars is actually a
very cold place
● Mars is full of iron
oxide dust
Mars
The Moon

38. Applications of Newton's
Newton's laws of motion
Law # 1 Neptune is the farthest planet from the Sun. It’s also the
fourth-largest planet by diameter in the Solar System
Law # 2 Jupiter is a gas giant and the biggest planet in the Solar
System. It’s the fourth-brightest object in the night sky
Law # 3 Despite being red, Mars is actually a cold place. It’s full of
iron oxide dust, which gives the planet its reddish cast

39. Newton's laws graphic
Follow the link in the graph to modify its data and then
paste the new one here. For more info, click here
Venus
Venus is a
hot planet
Saturn
Saturn is a
gas giant
Mars
Mars is a
cold planet
35% 10%
95% 40%
15% 60%

40. Exercise 4: True/false
T
1. According to Newton's first law,
an object in motion will continue
moving at a constant velocity unless
acted upon by a net force
F T
2. Newton's second law states that
the force acting on an object is
equal to its mass times its
acceleration
F
Indicate whether the following statements are true or false:
Look at the answers

41. Exercise answer
Exercise # 1
1.b
2.c
3.d
Exercise # 2
1. Force
2. Mass
3. Reaction
Exercise # 3
1.a
2.b
3.c
Exercise # 4
1. True
2. True

42. Our team
Timmy Jimmy Sofia Hill
You can speak a bit about this
person here
You can speak a bit about this
person here

43. CREDITS: This presentation template was created by Slidesgo, and includes
icons by Flaticon and infographics & images by Freepik
Thanks!
Do you have any questions?
youremail@freepik.com
+91 620 421 838
yourwebsite.com
Please keep this slide for attribution

44. Alternative resources
Here’s an assortment of alternative resources whose style fits the one of this template:
Vectors
● Scientific formulas on chalkboard

45. Resources
Did you like the resources in this template? Get them for free at our other websites:
Vectors
● Scientific formulas on chalkboard
Photos
● Classmates sitting and learning at desk
● anonymous people studying together
● Teacher pointing at chalkboard with copy-space
● Positive man with clipboard
● Halloween party

46. Instructions for use
If you have a free account, in order to use this template, you must credit Slidesgo by keeping the Thanks slide. Please
refer to the next slide to read the instructions for premium users.
As a Free user, you are allowed to:
● Modify this template.
● Use it for both personal and commercial projects.
You are not allowed to:
● Sublicense, sell or rent any of Slidesgo Content (or a modified version of Slidesgo Content).
● Distribute Slidesgo Content unless it has been expressly authorized by Slidesgo.
● Include Slidesgo Content in an online or offline database or file.
● Offer Slidesgo templates (or modified versions of Slidesgo templates) for download.
● Acquire the copyright of Slidesgo Content.
For more information about editing slides, please read our FAQs or visit our blog:
https://slidesgo.com/faqs and https://slidesgo.com/slidesgo-school

47. As a Premium user, you can use this template without attributing Slidesgo or keeping the "Thanks" slide.
You are allowed to:
● Modify this template.
● Use it for both personal and commercial purposes.
● Hide or delete the “Thanks” slide and the mention to Slidesgo in the credits.
● Share this template in an editable format with people who are not part of your team.
You are not allowed to:
● Sublicense, sell or rent this Slidesgo Template (or a modified version of this Slidesgo Template).
● Distribute this Slidesgo Template (or a modified version of this Slidesgo Template) or include it in a database or in
any other product or service that offers downloadable images, icons or presentations that may be subject to
distribution or resale.
● Use any of the elements that are part of this Slidesgo Template in an isolated and separated way from this
Template.
● Register any of the elements that are part of this template as a trademark or logo, or register it as a work in an
intellectual property registry or similar.
For more information about editing slides, please read our FAQs or visit our blog:
https://slidesgo.com/faqs and https://slidesgo.com/slidesgo-school
Instructions for use (premium users)

48. This presentation has been made using the following fonts:
Be Vietnam Pro
(https://fonts.google.com/specimen/Be+Vietnam+Pro)
Fonts & colors used
#ffffff #1f2823 #75b978
#ccd7c4 #d5d1d1

49. Create your Story with our illustrated concepts. Choose the style you like the most, edit its
colors, pick the background and layers you want to show and bring them to life with the
animator panel! It will boost your presentation. Check out how it works.
Storyset
Pana Amico Bro Rafiki Cuate

50. You can easily resize these resources without losing quality. To change the color, just ungroup the resource and click on
the object you want to change. Then, click on the paint bucket and select the color you want. Group the resource again
when you’re done. You can also look for more infographics on Slidesgo.
Use our editable graphic resources...

53. JANUARY FEBRUARY MARCH APRIL
PHASE 1
Task 1
Task 2
JANUARY FEBRUARY MARCH APRIL MAY JUNE
PHASE 1
PHASE 2
Task 1
Task 2
Task 1
Task 2

56. You can resize these icons without losing quality.
You can change the stroke and fill color; just select the icon and click on the paint bucket/pen.
In Google Slides, you can also use Flaticon’s extension, allowing you to customize and add even more icons.
...and our sets of editable icons

57. Educational Icons Medical Icons

58. Business Icons Teamwork Icons

59. Help & Support Icons Avatar Icons

60. Creative Process Icons Performing Arts Icons

61. Nature Icons

62. SEO & Marketing Icons

63. Add the title here
Text 1 Text 2 Text 3
Text 4 Text 5 Text 6
2016 2017 2018 2019 2020
“Despite being red,
Mars is actually a
very cold place”
“Mercury is the
smallest planet in
the Solar System”
“Neptune is the
farthest planet from
the Sun”
“Saturn is a gas
giant and has
several rings”
“Venus is the
second planet from
the Sun and is
terribly hot”
Premium infographics

64. “Despite being red,
Mars is actually a
very cold place”
“Jupiter is the
biggest planet in the
entire Solar System”
“Saturn is a gas
giant and has
several rings”
75%
Premium infographics
“Mercury is the
smallest planet in the
Solar System”
TITLE 1
75%

65. Digital Marketing
Premium Icons

66. Online Learning
Premium Icons

67. Laboratory
Premium Icons

68. Goals & Results
Premium Icons

69. Infographic Elements
Premium Icons