1. Thank you and Have a nice day!
REMINDERS
Go to your assigned seat. SILENTLY.
Get your Lecture Notebook. SILENTLY.
Do the quick write. SILENTLY.
Thank you and Have a nice day!

2. Independence of Horizontal and Vertical Motion
Projectile Motion
Independence of Horizontal and Vertical Motion

3. ? MOTION REVIEW Vector Projectile One Dimension Two Dimension
Horizontal Motion
Vector
Projectile
Vertical Motion

4. Recalling Principles
Horizontal Motion
Vertical Motion

5. Projectile motion A projectile is any object that is “launched.”
Its motion can be straight up/down;
Or it can be horizontal at a height;
Or it can be upwards at an angle;
Whichever case, the key idea is the same: the horizontal and vertical motions are INDEPENDENT of each other.

6. Projectile motion

7. Relevance…

8. Horizontal Projectiles:
Equations:
t = (2d/g
dx = Vxt
Vy = gt
Vx stays constant
Vy increases due to gravity Vx y dx

9. Recall parts and functions of a triangle.
Projectiles at an angle h vo Vy Vx dx
Recall parts and functions of a triangle.
Equations:
Vx = Vocos θ
ttot = 2tpeak = 2Vy/g
Vy = Vosin θ
dx = Vx t
tpeak = Vy/g
h = Vytpeak - (½) g tpeak2

10. PROJECTILE
Horizontal
Semi parabolic
vector
Vertical

11. let's put some math with it…
Don’t forget to
Illustrate!!!

12. Case 1 with vector…
The launch velocity of a projectile is 27 m/s at 53 degrees above the horizontal. Draw the diagram of the component of velocities and resolve for the horizontal and vertical component of its velocity.

13. With vector…
A ball is kicked at a velocity of 20 m/s at angle of 35 degrees. Determine the horizontal and vertical component of its velocity.

14. Illustrate and write down the given and unknown.
Projectile 1
A long jumper leaves the ground with an initial velocity of 13 m/s at an angle 30 degrees above the horizontal,
Determine the
Time of flight
Horizontal distance (range)
Maximum height
Illustrate and write down the given and unknown.

15. Projectile 2
A football is kicked with an initial velocity of 27 m/s at an angle of 36 degrees with the horizontal,
Determine;
Time of flight
Horizontal distance
Peak height of the ball

16. Projectile 3
A projectile is fired with an initial speed of 72.5 m/s at an angle 38 degrees above the horizontal on a long flat range.
Determine;
the maximum height
total time in air
total horizontal distance

17. Try…on a piece of paper…
A baseball player throws a baseball at a speed of 40 m/s at an angle of 30 degrees to the ground, what is its horizontal velocity component?
A cannon fires a projectile at an angle of 45 degrees with the horizontal with a velocity of 700 m/s. determine the time of flight, distance covered and its maximum height.