1. Today I will: Define projectile
Explain projectile motion in terms of horizontal and vertical motion

2. Ch 3 Part 2:Projectile Motion

3. Review some vocab…. Free Fall Gravity
When an object moves through the air with ONLY gravity acting on it (limit AR)
Gravity
A downward force (pull) on an object toward the Earth (this pull causes objects to accelerate at a rate of -9.8 m/s2)

4. New Vocab…
Projectile
Any object in free fall (remember in free fall object can be moving up or down)

5. Motion of Projectiles Projectiles have motion in 2 – d
the d in 2d means dimension
The two dimensions are the two components of motion

6. Projectile Motion
A projectile is an object moving in two dimensions under the influence of Earth's gravity; its path is a parabola.

7. 2 Components of Motion
Vertical and Horizontal

8. Projectile Motion
It can be understood by analyzing the horizontal and vertical motions separately.

9. Vertical Component (y)
what is happening on the y-axis only; example: how high an object goes or how far down it falls
At the objects highest point its vy = 0 ; no longer moving upward
Since gravity acts downward it acts on the y-axis…causes object to gain or lose speed going up and coming down
(a = -9.8m/s2 )

10. Horizontal Component The movement in the x (horizontal direction)
Gravity DOES NOT act on the horizontal since it only acts downward
The object will not accelerate in the horizontal direction

11. Horizontal Component Summed UP….
The object will have a constant vx!
The vx will be the same at all points during the objects flight!

12. The vertical and horizontal components are independent of one another
Time is the link between the components
The time of the flight is the same for the x and the y

13. Projectile Motion
It can be understood by analyzing the horizontal and vertical motions separately.

14. in the y-direction the object moves with constant acceleration g.
The ball on the right has an initial velocity in the x-direction; this velocity remains constant
in the y-direction the object moves with constant acceleration g.
NOTE: vertical positions of the two balls are identical at identical times.
two balls start fall at
same time.

15. Ideal vs actual path
Ideal Path – path an object would follow if gravity did not exist (straight line)
Actual Path – path object follows because gravity exerts a force on the object

16. Ideal Path

17. Ideal vs Actual

18. Ideal vs Actual Shooting Upward

19. Monkey and Hunter

20. Understanding Projectile Motion

21. Finding X and Y components

22. Ideal path – straight line path with out gravity and Actual Path – curved path with gravity Angles of launch:

23. Concept Development 3-1

24. CDP for Projectiles

26. Using Vectors for Projectiles
Got to the back of the third page in Blue CDP

28. Angles of Launch Pre-Lesson Question:
What angle do you think you would have to throw something for it to go the highest? What about to have the longest range (horizontal distance)?

30. Angles of launch: Complimentary Angles: two angles that add up to 90⁰
Have the same horizontal range
To go the highest – throw straight up (90⁰)
To go the furthest – throw at 45⁰

31. Projectile Motion - Cannon

32. Solving Problems Involving Projectile Motion
SEE HANDOUT

33. Solve projectile motion problems
Today I will:
Opening:
Solve projectile motion problems
Define satellite
Pick up yellow packet and have out blue packet from Friday
How are the vertical and horizontal component of motion related?

34. satellite – fast moving projectile
a projectile that is moving fast enough that it falls around the Earth (follows the curve) rather than into the Earth (it is still acted on by gravity);
goes beyond the Earth’s atmosphere to a height of about 150 km (where there is almost no air resistance)
An object would need a speed of 8 km/s to escape Earth’s atmosphere

35. Equations for Projectile Motion
Vertical component of motion…has acceleration
Can use our kinematic equations
vyf = vyi + at
∆dy = vyit + ½ at2
vyf2 = vyi2 + 2a(∆dy)

36. Horizontal component of motion: no acceleration (why?)
𝑉 𝑥 = 𝑑 𝑥 𝑡

37. Problem Set Up
Time =
dx =
Vyi =
Vx =
a = -9.8 m/s2
∆dy =
Vyf =

38. Problem Solving:
Melanie Rolls a 10g marble down a ramp and off the table with a horizontal velocity of 1.2 m/s. The marble falls in a cup placed 0.51m from the table’s edge. How high is the table?

44. Book Work!
page 41 TE  

45. Period 6 Pick up lab packet from front desk!
Check book work answers that are on the board!! You need to do this NOW!
Today We Will: prelab; you look over answers and ask questions; show me the equation or equations your group plans on using to solve for placement of the target
Tomorrow: period 6 set up and do lab!
Period 7: finish lab; ask any additional questions you may have

46. Period 8 Have lab packet out from Thursday
NOW!! Pick up ans packet and sheet from front student desk!
Today We Will: pre-Lab; you look over answers and ask questions; show me the equation or equations you need to find dx
Tomorrow: set up and do lab!
finish lab; ask any additional questions you may have on projectile motion problems

47. prelab
1. find vx use distance of flat track and time on flat track! Once you find vx
Forget you have a d and t!! You no longer need them (only need to find vx)
2. height of table
3. computations: you now have vx , vyi , ∆dy and acceleration. You need to find dx. Solve as you would any projectile motion problem!
Show me the equation! Turn in ball Get target