1. Aim: How can we solve angular Projectile problems?
Do Now: Quiz
HW: Problem Set

2. Sketch the path described
Fire Away!!!
Sketch the path described

3. Projectile Vector Diagram
vy at top = 0
Parabolic Path
ax = 0
What are some assumptions?
ay = m/s2
vfy = -viy

4. Vertical Axis Which assumptions can we make?
Initial velocity (viy = vi sin θ)
Acceleration due to gravity = m/s2
At max height vfy = 0m/s
Time to max height = ½ total time in the air
When the projectile lands, vfy = -viy

5. Horizontal Axis Which assumptions can we make?
Initial velocity (vix = vi cos θ)
acceleration = 0m/s2
Horizontal velocity is CONSTANT!
Maximum Range = vix × total flight time

6. Components Activity Solve for the x & y components.
When have we done this before?
How will we do this?
Adding and subtracting vectors, force components in free body diagrams.

7. 1. A soccer ball is kicked with a velocity of 15 m/s at an angle 30 degrees above the horizontal. 2. A player in the outfield throws a baseball in the air 45o above the horizontal at a speed of 25 m/s. 3. A golf ball is clubbed 35 degrees above the horizontal with a velocity of 20 m/s.

8. Wrapping it up!
A soccer ball is kicked with a velocity of 15 m/s at an angle 30 degrees above the horizontal.
We must work in specific directions!
Calculate the maximum height the ball reaches
Calculate the time it takes to reach max height
Find how far the ball lands from the player

9. Adding some fun
football is punted from 1 meter at an angle of 37o and with a velocity of 20 m/s. How far will it travel before hitting the ground?
-1 = 12t - .5gt2… t = 2.53 s
d = Vx x t…. 16 m/s x 2.53 s

10. Challenge Problem
Based on the information, how far from the cliff base will the projectile land?

11. Conceptual Questions
Lets say the same projectile is now launched straight up, but over the cliff edge.
Which will reach their peak height first?
Which has the greater acceleration before impact?
Which is going fastest at the peak?
Which will have the greatest velocity vector at impact?