1. Copy down December calendar
In your next available page in your notebook.

2. Notes: Projectile Motion
projectile- any object launched, thrown or shot through the air under the force of gravity. (neglecting air resistance)
trajectory – path followed by projectile
shape is a parabola
parabolic curve- where every point is the same distance from the focus as it is from the directrix.

3. 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

4. Discuss with your group wither these are projectiles or not and why?
Is a frisbee a projectile? An airplane? A rocket?

5. Parabola

7. Lable Vy (red) and Vx(blue) are they constant,(-) or (+)

8. Range – max Dx traveled by projectile
Height – Dy at given time
Max height of projectile, Vy = 0

9. Label range, heights, and max height on sheet of paper

10. X-motion and Y-motion are independent
Trajectory of object can be resolved into components to find two independent velocities
Ax = Acosq = Vx
Ay = Asinq = Vy
***Strategy – both horizontal motion and vertical motion are connected by the variable time (Dt) at the same point on a trajectory. Solving forD t in one dimension gives Dt in the other dimension.

12. Horizontal Projectile

13. Equations
X- Component
Y- Component
Vectors
Note: g= 9.8 m/s^2

14. Class Exercise
A ball is projected horizontally from the edge of a table that is 0.862m high, and it strikes the floor at a point 1.42m from the base of the table. It takes three seconds to reach the floor.
The acceleration of gravity is 9.8m/s2.
Find yf

15. Explanation:
Choosing the edge of the table as the origin of our coordinate system, we have
y= viy(t) - 1/2g(t)2
With viy = 0 so that
y=-1/2g(t)2

16. foldable Inside in the middle write: g= 9.8 m/s2
g will always be vertical acceleration
Horizontal acceleration will always be 0
Write variables for
x,y,Vi,Vf,Vix,Viy,Vfx,Vfy,Xi,Yi,Yf,t

17. outside

18. Inside

19. Class Exercise Cont’d
A toy car runs off the edge of a table that is m high. The car lands m from the base of the table.
How long does it take for the car to fall?
The acceleration due to gravity is 9.8 m/s2.
What is the horizontal velocity of the car?

20. Summary
Projectiles travel with a parabolic trajectory due to the influence of gravity,
There are no horizontal forces acting upon projectiles and thus no horizontal acceleration,
The horizontal velocity of a projectile is constant (a never changing value),
There is a vertical acceleration caused by gravity; its value is 9.8 m/s/s, down,
The vertical projectile is any object upon which the only force is gravity,
Vertical velocity of a projectile changes by 9.8 m/s each second,
The horizontal motion of a projectile is independent of its vertical motion.