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Motion in Two Dimensions
Section 6.1
Projectile Motion
 How do I separate projectile motion into horizontal
 and vertical components?

 How can I utilize kinematic equations to solve
 projectile motion problems?
Projectile Motion
 Examples?
Path
 Path?



 Trajectory – the path of a object experiencing
 projectile motion
Projectile Motion
 Projectile – an object shot through the air


 Can be anything


 Kinematic Equations apply


 While the projectile is traveling we can draw a free
  body diagram
Free – Body Diagram
From a cliff…
 If I drop a ball off a cliff, what is the force acting on it?


 What if I push it off the cliff?


 What if I shoot it up at an angle off the cliff?
Gravity!
 Gravity is the only acceleration in projectile motion
  problems

 Does gravity apply horizontally?


 Is there any acceleration in the horizontal direction?


 Application to equations?
Trajectories of Two Softballs
Total Time?
Free–Body Diagrams
Strategies
 List Data by Horizontal and Vertical

 What is the initial horizontal velocity?

 What is the initial vertical velocity?

 Is there a launch angle?

 What is the launch height?

 What is the launch length?
Velocity Components
What if Vx = 8 m/s and Vy = 10 m/s?
Examples
 A bowling ball is rolled off a 50 m high cliff with a
  velocity of 5 m/s.
 How long does it take the ball to reach the ground?
 How far from the base of the cliff does the ball hit the
  ground?
 What are the horizontal and vertical components of
  the velocity just before it hits the ground?
Homework
 Page 150, # 1 – 3
 Tossed Ball Worksheet
Firing a Cannonball
 http://phet.colorado.edu/sims/projectile-
 motion/projectile-motion_en.html
Short Cuts

Example
 A ball is launched at 4.5 m/s at 66° above the
 horizontal. What are the maximum height and flight
 time of the ball?
Homework
 Projectile Motion Worksheet

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