The document discusses one-dimensional and two-dimensional motion, particularly focusing on projectile motion, including types, equations, and factors affecting it. It includes various activities and questions to analyze the motion of a ball in sports contexts, such as when throwing a ball or shooting it in basketball. Additionally, it presents examples and calculations related to projectile motion to reinforce understanding of the concepts.

1. • Can you recall the different examples of
one-dimensional motion?

2. Let’s watch this!
• Boston_Celtics_vs_Philadelphia_Sixers_1
st_Qtr_Highlights___10.16.2018,_NBA_Se
aso.mp4

3. Questions
• If you are to tell how the ball moves when
the player scores a basket, how would you
describe it?
• Does the ball follow a straight path from
the player’s hand to the hoop?

4. Group Activity
DO’S
• Participate fairly
• Contribute meaningful ideas
• Assist other group members
DON’TS
• Horse playing is not allowed
• Avoid shouting
• Avoid gossiping nonsense

5. Analysis
(A. Match a Curve)
• In what direction or orientation did you know the
ball?
• How would you describe the ball’s path and
motion?
• How many tries did you make to match the
curved paths?
• How many tries did you make before you
matched the curves this time?
• What does this tell you regarding visuals or
imaginary targets in sports?

6. Analysis
B. What a curve-a-throw!
• In what direction or orientation did you throw the ball?
• How would you describe the ball’s path and motion?
• Aside from doing more trials or “practices”, for this
parabola where will you place the imaginary target to
aim for better matching results?
• Based on the activity, is it possible that the ball will end
at a higher elevation than its starting level?
• What force got the ball projected?
• What force continued to act on the ball when in mid-
air?

7. Analysis
C. Of curves . . .
• How will you compare or contrast the
horizontal and vertical spacing?
• What does the spacing in the set of vertical
lines indicate about the vertical
displacement and vertical velocity of the
projectile motion?

8. What is Projectile
Motion?

9. Projectile Motion
• Two-dimensional motion of an object
– Vertical
– Horizontal

10. Types of Projectile
Motion
• Horizontal
– Motion of a ball rolling freely along a
level surface
– Horizontal velocity is ALWAYS
constant
• Vertical
– Motion of a freely falling object
– Force due to gravity
– Vertical component of velocity
changes with time
• Parabolic
– Path traced by an object accelerating
only in the vertical direction while
moving at constant horizontal velocity

11. Examples of Projectile
Motion
• Launching a Cannon ball

13. Equations used for
Projectile Motion
• X- Component
• Y- Component
• Vectors
t
v
x
x xi
i
f 

gt
v
v
y
g
v
v
gt
t
v
y
y
yi
yf
yi
yf
yi
i
f








2
2
1
2
2
2
)
sin(
)
cos(


i
yi
i
xi
v
v
v
v


Note: g= 9.8
m/s^2

14. Factors Affecting
Projectile Motion
• What two factors would affect projectile
motion?
– Angle
– Initial velocity
Initial Velocity
Angle

15. Questions
• What are the components of projectile
motion?
• How will you differentiate the three types of
projectile motion?
• What are the factors that would affect
projectile motion?

16. Class Exercise
• A projectile is thrown with a speed of 100
ft/s in a direction of 30° above the
horizontal. Find the height to which it rises,
the time of flight and the horizontal range.

17. Enrichment
An object is fired from the ground at 100 m/s
at an angle of 30° with the horizontal.
• Calculate the horizontal and vertical
components of the initial velocity.
• After 2.0 seconds, how far has the object
traveled in the horizontal direction?
• How high is the object at this point?