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Do Now Turn in Homework – it is LATE after the Do Now.
Complete the Do Now on your Daily Organizer. Someone is running along a straight road at a constant velocity of 8 m/s. They get to their destination after 12 seconds. How far away was their destination from the starting point? A ball is dropped from the top of a cliff and lands on the ground 7 seconds later. What was the ball’s final velocity when it hit the ground? What was the distance the ball fell?
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Today’s Agenda Do Now Important Dates Projectile Motion Overview
5 min Do Now Important Dates 10 min Projectile Motion Overview 30 min Horizontally Launched Practice Exit Ticket
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Today’s Agenda Do Now Important Dates Projectile Motion Overview
5 min Do Now Important Dates 10 min Projectile Motion Overview 30 min Horizontally Launched Practice Exit Ticket
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Important Dates & Reminders
Homework Should already be in the HW bin HW assigned today due Friday Science Fair Upcoming Extra Credit Deadlines Background Research w/ Bibliography due Friday Tutoring Today from 4 – 5 PM Round Two Unit Exam Thursday October 25th! Quiz Friday on Acceleration
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Today’s Agenda Do Now Important Dates Projectile Motion Overview
5 min Do Now Important Dates 10 min Projectile Motion Overview 30 min Horizontally Launched Practice Exit Ticket
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Projectile Motion
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Facts of Projectile Motion
Objects that are thrown into the air that only have gravity working on them are projectiles. Projectile motion is the curved path these projectiles follow – it is free fall acceleration with an initial horizontal velocity If you look at a graph of their position vs. time, it looks like a parabola.
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Free Fall – What does it Mean?
When gravity is the only force working on an object, it’s in free fall Gravity pulls it vertically downward causing an acceleration in the negative direction
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Real Life Examples Let’s take a look at some real life examples of projectile motion.
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Projectile Motion: Breaking it Down
Vertical Motion Horizontal Motion In the y-range (vertically), nothing changes from what we’ve been practicing! Your acceleration is g or -9.8 m/s2 You can find time and vertical distance travelled through this In the x-range (horizontally), everything is simple! There is NO acceleration - gravity only works vertically. Constant velocity You can find horizontal distance using eqn.
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What’s Actually Happening?
Vertical Motion Horizontal Motion Forces (Present? Yes or No) (If present, what direction?) Yes The force of gravity works downward No Acceleration (If present, what direction? “g” is downward at -9.8 m/s2 Velocity (Constant or Changing?) Changing Constant
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Big Picture We still have gravity as our only force but that vertical force cannot change the horizontal motion so the horizontal velocity stays constant and the vertical velocity accelerates due to gravity! Vertically: a Free Fall problem w/ acceleration Horizontally: a On-The-Ground problem w/ constant velocity
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Two Types of Projectile Motion
Horizontally Launched Non-Horizontally Launched
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Today’s Agenda Do Now Important Dates Projectile Motion Overview
5 min Do Now Important Dates 10 min Projectile Motion Overview 30 min Horizontally Launched Practice Exit Ticket
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Horizontally Launched
Thrown/launched/etc. in the horizontal direction only Initial velocity in the horizontal direction is the velocity it was launched with Initial velocity in the vertical direction is 0 m/s
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Example A ball is launched from a cliff with an initial horizontal velocity of 5 m/s and lands on the ground 4 seconds later. What was its initial horizontal velocity? What was its initial vertical velocity? What was its final horizontal velocity? What was its final vertical velocity? What was the distance it travelled vertically? What was the distance it travelled horizontally?
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Example A ball is launched from a cliff with an initial horizontal velocity of 5 m/s and lands on the ground 4 seconds later. What was its initial horizontal velocity? 5 m/s What was its initial vertical velocity? What was its final horizontal velocity? What was its final vertical velocity? What was the distance it travelled vertically? What was the distance it travelled horizontally?
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Example A ball is launched from a cliff with an initial horizontal velocity of 5 m/s and lands on the ground 4 seconds later. What was its initial horizontal velocity? 5 m/s What was its initial vertical velocity? 0 m/s What was its final horizontal velocity? What was its final vertical velocity? What was the distance it travelled vertically? What was the distance it travelled horizontally?
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Example A ball is launched from a cliff with an initial horizontal velocity of 5 m/s and lands on the ground 4 seconds later. What was its initial horizontal velocity? 5 m/s What was its initial vertical velocity? 0 m/s What was its final horizontal velocity? 5 m/s What was its final vertical velocity? What was the distance it travelled vertically? What was the distance it travelled horizontally?
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Example A ball is launched from a cliff with an initial horizontal velocity of 5 m/s and lands on the ground 4 seconds later. What was its initial horizontal velocity? 5 m/s What was its initial vertical velocity? 0 m/s What was its final horizontal velocity? 5 m/s What was its final vertical velocity? m/s What was the distance it travelled vertically? What was the distance it travelled horizontally?
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Example A ball is launched from a cliff with an initial horizontal velocity of 5 m/s and lands on the ground 4 seconds later. What was its initial horizontal velocity? 5 m/s What was its initial vertical velocity? 0 m/s What was its final horizontal velocity? 5 m/s What was its final vertical velocity? m/s What was the distance it travelled vertically? m What was the distance it travelled horizontally?
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Example A ball is launched from a cliff with an initial horizontal velocity of 5 m/s and lands on the ground 4 seconds later. What was its initial horizontal velocity? 5 m/s What was its initial vertical velocity? 0 m/s What was its final horizontal velocity? 5 m/s What was its final vertical velocity? m/s What was the distance it travelled vertically? m What was the distance it travelled horizontally? 20 m
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Teacher-Guided Problem
A penny is thrown from a building with an initial horizontal velocity of 11 m/s and lands on the ground 5 seconds later. What was its initial horizontal velocity? What was its initial vertical velocity? What was its final horizontal velocity? What was its final vertical velocity? What was the distance it travelled vertically? What was the distance it travelled horizontally?
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Teacher-Guided Problem
A penny is thrown from a building with an initial horizontal velocity of 11 m/s and lands on the ground 5 seconds later. What was its initial horizontal velocity? 11 m/s What was its initial vertical velocity? What was its final horizontal velocity? What was its final vertical velocity? What was the distance it travelled vertically? What was the distance it travelled horizontally?
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Teacher-Guided Problem
A penny is thrown from a building with an initial horizontal velocity of 11 m/s and lands on the ground 5 seconds later. What was its initial horizontal velocity? 11 m/s What was its initial vertical velocity? 0 m/s What was its final horizontal velocity? What was its final vertical velocity? What was the distance it travelled vertically? What was the distance it travelled horizontally?
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Teacher-Guided Problem
A penny is thrown from a building with an initial horizontal velocity of 11 m/s and lands on the ground 5 seconds later. What was its initial horizontal velocity? 11 m/s What was its initial vertical velocity? 0 m/s What was its final horizontal velocity? 11 m/s What was its final vertical velocity? What was the distance it travelled vertically? What was the distance it travelled horizontally?
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Teacher-Guided Problem
A penny is thrown from a building with an initial horizontal velocity of 11 m/s and lands on the ground 5 seconds later. What was its initial horizontal velocity? 11 m/s What was its initial vertical velocity? 0 m/s What was its final horizontal velocity? 11 m/s What was its final vertical velocity? -49 m/s What was the distance it travelled vertically? What was the distance it travelled horizontally?
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Teacher-Guided Problem
A penny is thrown from a building with an initial horizontal velocity of 11 m/s and lands on the ground 5 seconds later. What was its initial horizontal velocity? 11 m/s What was its initial vertical velocity? 0 m/s What was its final horizontal velocity? 11 m/s What was its final vertical velocity? -49 m/s What was the distance it travelled vertically? m What was the distance it travelled horizontally?
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Teacher-Guided Problem
A penny is thrown from a building with an initial horizontal velocity of 11 m/s and lands on the ground 5 seconds later. What was its initial horizontal velocity? 11 m/s What was its initial vertical velocity? 0 m/s What was its final horizontal velocity? 11 m/s What was its final vertical velocity? -49 m/s What was the distance it travelled vertically? m What was the distance it travelled horizontally? 55 m
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Team-Led Problem A ball is thrown from a building with an initial horizontal velocity of 2.5 m/s and hits the ground 3 seconds later. What was its initial horizontal velocity? What was its initial vertical velocity? What was its final horizontal velocity? What was its final vertical velocity? What was the distance it travelled vertically? What was the distance it travelled horizontally?
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Team-Led Problem A ball is thrown from a building with an initial horizontal velocity of 2.5 m/s and hits the ground 3 seconds later. What was its initial horizontal velocity? 2.5 m/s What was its initial vertical velocity? 0 m/s What was its final horizontal velocity? 2.5 m/s What was its final vertical velocity? m/s What was the distance it travelled vertically? m What was the distance it travelled horizontally? 7.5 m
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Multiple Choice Problem 1
A paper airplane is launched into the air from the top of a building with an initial velocity of 5 m/s and lands on the ground 7 seconds later. What is the initial horizontal velocity? 0 m/s 5 m/s 7 m/s 9.8 m/s
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Multiple Choice Problem 1
A paper airplane is launched into the air from the top of a building with an initial velocity of 5 m/s and lands on the ground 7 seconds later. What is the initial horizontal velocity? 0 m/s 5 m/s 7 m/s 9.8 m/s
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Multiple Choice Problem 2
A paper airplane is launched into the air from the top of a building with an initial velocity of 5 m/s and lands on the ground 7 seconds later. What is the initial vertical velocity? 0 m/s 5 m/s 7 m/s 9.8 m/s
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Multiple Choice Problem 2
A paper airplane is launched into the air from the top of a building with an initial velocity of 5 m/s and lands on the ground 7 seconds later. What is the initial vertical velocity? 0 m/s 5 m/s 7 m/s 9.8 m/s
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Multiple Choice Problem 3
A paper airplane is launched into the air from the top of a building with an initial velocity of 5 m/s and lands on the ground 7 seconds later. What is the final horizontal velocity? 0 m/s 5 m/s 49 m/s 35 m/s
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Multiple Choice Problem 3
A paper airplane is launched into the air from the top of a building with an initial velocity of 5 m/s and lands on the ground 7 seconds later. What is the final horizontal velocity? 0 m/s 5 m/s 49 m/s 35 m/s
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Multiple Choice Problem 4
A paper airplane is launched into the air from the top of a building with an initial velocity of 5 m/s and lands on the ground 7 seconds later. What is the final vertical velocity? 0 m/s -1.8 m/s -5 m/s -68.6 m/s
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Multiple Choice Problem 4
A paper airplane is launched into the air from the top of a building with an initial velocity of 5 m/s and lands on the ground 7 seconds later. What is the final vertical velocity? 0 m/s -1.8 m/s -5 m/s -68.6 m/s
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Multiple Choice Problem 5
A paper airplane is launched into the air from the top of a building with an initial velocity of 5 m/s and lands on the ground 7 seconds later. What is the distance it traveled vertically? -34.3 m -35 m m m
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Multiple Choice Problem 5
A paper airplane is launched into the air from the top of a building with an initial velocity of 5 m/s and lands on the ground 7 seconds later. What is the distance it traveled vertically? -34.3 m -35 m m m
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Multiple Choice Problem 6
A paper airplane is launched into the air from the top of a building with an initial velocity of 5 m/s and lands on the ground 7 seconds later. What is the distance it traveled horizontally? 34.3 m 35 m 122.5 m 240.1 m
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Multiple Choice Problem 6
A paper airplane is launched into the air from the top of a building with an initial velocity of 5 m/s and lands on the ground 7 seconds later. What is the distance it traveled horizontally? 34.3 m 35 m 122.5 m 240.1 m
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Independent Practice Complete the two independent practice problems on your Daily Organizer. You should be doing these independently. When done, raise your hand. I will check your work and hand you an exit ticket. A person jumps from a bridge with an initial horizontal velocity of 6.2 m/s and lands in the water 3 seconds later. A cat is scared and jumps of the roof of a building with an initial horizontal velocity of 6.5 m/s and lands on the ground 2 seconds later.
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Today’s Agenda Do Now Important Dates Projectile Motion Overview
5 min Do Now Important Dates 10 min Projectile Motion Overview 30 min Horizontally Launched Practice Exit Ticket A ring is thrown from the top of a cliff with an initial horizontal velocity of 8 m/s. What was its initial horizontal velocity? What was its initial vertical velocity? What was its final horizontal velocity? What was its final vertical velocity? What was the distance it travelled vertically? What was the distance it travelled horizontally?
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Exit Ticket Exit tickets will be my daily way of seeing whether or not you have understood the objectives we have gone over during class each day. They will NOT be graded for accuracy but WILL be graded for completion so make sure you always try each and every question. These exit tickets must be done silently and independently. If you violate this, you will lose your participation points for the day. You must wait to begin your exit ticket until Ms. Kemal says to begin.
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