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Motion, Speed, & Velocity
Chapter 9, Section 1
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Motion & Distance An object is in motion if the distance from another object is changing. The object used for comparison to determine if something is in motion is called a reference point. Why is it important to select a stationary reference point rather than a moving reference point?
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What is Relative Motion
What is Relative Motion? Are the sky divers moving relative to each other? Are they moving relative to the plane? Are they moving relative to the ground?
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Reference Point Suppose you are. . . Standing on the sidewalk.
Describe your motion relative to the car and the plane.
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Reference Point Suppose you are. . . Riding in the car.
Describe your motion relative to the person on the sidewalk and the plane.
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Reference Point Suppose you are. . . Riding in the plane.
Describe your motion relative to the person on the sidewalk and the car.
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A B Distance Distance is the length of a path between two points.
Can you state the distance between the two cars? A B -10 -5 5 10 15 20 25
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Displacement Displacement is the length and direction an object has moved from its starting point, sometimes called position. Can you state the displacement of Car A? Can you state the displacement of Car B? A B -10 -5 5 10 15 20 25
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Distance & Displacement
Imagine the number line has shifted left by 10. Has the distance between the two cars changed? Has the displacement of either car changed? A B -20 -15 -10 -5 5 10 15
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Distance vs. Displacement
What is needed to define displacement that is not in the definition of distance? This is what we call a _______________________ .
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Checkpoint! The skier started at A, skied over to B, skied back to C, and finished at point D. What is the skier's displacement? What is the skier’s total distance traveled?
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Vocabulary Send a private message with the correct vocab words from the blanks below:
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Calculating Speed & Velocity
Chapter 9, Section 2
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Which is an example of a Vector Quantity?
Speed & Velocity Speed is how distance changes in relation to time. Velocity is speed with a given direction! Vector Quantity has both Magnitude (size) & Direction. Speed has magnitude… not direction Velocity has magnitude & direction. Which is an example of a Vector Quantity?
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Instantaneous Speed If we are looking at any given point, we call it instantaneous. Instantaneous Speed the rate at which an object is moving at a given instant in time. Units: m/s Examples: A cheetah sprints 100 m in 4 seconds. What was its speed? After that, the cheetah sprints another 120 m in 3 seconds. What was its speed this time?
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How would we describe the cheetah’s speed? velocity?
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Average Speed Most objects do not move at constant speed, but are constantly changing. Average Speed is the total distance traveled by the total time. Units: m/s Example: Our physical science class takes a road trip to the Grand Canyon! It total we drove 500 miles, but with our stops for lunch and snacks, it took a total of 15 hours. What was our average speed? What is the cheetah’s average speed?
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Changes in velocity are due to changes in speed, changes in direction, or both!
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Graphing Motion & Slope
Motion can be plotted on a graph by labeling the X-axis with TIME and the Y-axis DISTANCE. A point on a graph can show the location and speed of an object at a particular time. Those points are: x (time) y (distance)
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Consider a car moving with a constant, positive velocity of 10 m/s.
If the position-time data for such a car were graphed, the resulting graph would look this. How did we describe the velocity? How can we describe the line on the graph?
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Slope Slope tells you how one variable changes in relation to the other variable or the rate of change. The slope of a distance versus time graph represents speed… the rate that distance changes in relation to time. Rise Divided by Run –or— Distance (y)/ Time (x)
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Motion practice 1 Download “Motion Practice 1.doc” from the Chapter Notes folder.
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Motion practice 1 Download “Motion Practice 1.doc” from the Chapter Notes folder.
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Motion practice 1 Download “Motion Practice 1.doc” from the Chapter Notes folder.
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Acceleration Chapter 9, Section 3
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Refers to INCREASING speed
Acceleration Let’s Review: What is Speed? What is Velocity? What is a Vector? Acceleration is the rate at which velocity changes Refers to INCREASING speed DECREASING speed CHANGING direction
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Is Acceleration a Vector?
A softball accelerates when it is thrown, hit, or caught. What change in motion occurs in each example? Thrown- ball accelerates as it is thrown Hit- ball changes direction Caught- ball decelerates (negative acceleration) How can a car be accelerating if its speed is constant at 65 km/h?
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The arrows are larger as the plane increases speed or accelerates
…the arrows represent the vector quantity
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Think about distance covered!
The arrows are larger as the plane increases speed or accelerates …but what else is different? Think about distance covered!
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Calculating Acceleration
Vf-Vi t Initial Velocity Final Velocity Time a = Acceleration = Final Velocity - Initial Velocity Time As a roller coaster starts down a slope, its velocity is 4 m/s. But 3 seconds later, its velocity is 22 m/s in the same direction. What is its acceleration?
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Graphing Acceleration
Speed vs. Time Graph Upward means speed is increasing Line is straight means acceleration is constant A horizontal line (flat) would mean that the object is moving at a constant speed. Slope on a speed vs. time graph represents acceleration
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Graphing Acceleration
Consider a car moving with a positive, changing velocity, that is, a car that is moving rightward but speeding up or accelerating.
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Velocity vs. Acceleration
A straight line on a graph is linear or has constant speed. A non-linear line illustrates increasing or decreasing speed
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Energy Chapter 9, Section 4
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Energy Energy is the ability to do work or cause change
What is Transfer of Energy? When an object does work on another object, energy is transferred. When energy is transferred, work is done and an object gains energy. The SI Unit for both Work & Energy = Joule
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Kinetic Energy = ½ Mass x Speed2
Kinetic means motion – Kinetic Energy is the energy of motion Depends on the object’s mass Which do you think contains more energy, a running elephant or running Chihuahua? Depends on the object’s speed Which do you think contains more energy, an elephant running 1 mph or 100 mph? Kinetic Energy = ½ Mass x Speed2 Kinetic energy increases as mass increases or if its speed increases.
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Brain Pop! Mass & Speed
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Potential Energy Stored energy that results from the position or shape of an object. Object has the potential to do work. Two types: Gravitational Like the force of gravity! Elastic Like an elastic rubber band!
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Gravitational Potential Energy
PEgravity = Weight x Height PEgravity = Mass x 9.8 m/s2 x Height Depends on the object’s mass Which do you think contains more energy, a falling Hummer or a falling bike? Depends on the object’s height Which do you think contains more energy, a penny dropped off your desk or a penny dropped off the Empire State Building?
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Mass & Height Does a skier have more gravitational potential energy on a 50 meter high jump or a 40 meter high jump? What is the PEgravity of a skier that weighs 25 kg on a 40 m high ski jump?
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Elastic Potential Energy
Brain Pop! Elastic Potential Energy When an object gains potential energy because it is stretched or squeezed. What are some examples? Archer pulling back on an arrow changes the shape of the bow…the bow now has more potential energy that can be used to send the arrow flying
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Mechanical Energy = Kinetic Energy + Potential Energy
An object’s combined kinetic energy and potential energy This is the total energy in the system. Mechanical Energy = Kinetic Energy + Potential Energy
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Conservation of Energy
When you throw an orange up into the air, what kind of energy increases as its height increases? As the orange falls from its greatest height, what kind of energy increases and what kind of energy decreases?
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Conservation of Energy
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Pendulum Watch the animated link.
What happens to the Potential Energy? The Kinetic Energy? The Mechanical Energy?
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Energy Math practice
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Energy Group Work You are going to make picture flashcards for each of the following vocabulary words. Make sure to include the definition, an example, and a picture. Split up the work within your group or work together! No more than 2 words to a slide. Kinetic Energy Potential Energy Gravitational Potential Energy Elastic Potential Energy Mechanical Energy Law of Conservation of Energy
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