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LEARNING GOALS : A Scalar quantity has magnitude only. A Vector quantity has both magnitude and direction. Displacement is a change in position. Velocity is a change in displacement. 09 - 02- 11. WARM-UP :
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LEARNING GOALS: • A Scalar quantity has magnitude only. • A Vector quantity has both magnitude and direction. • Displacement is a change in position. • Velocity is a change in displacement. 09 -02- 11 • WARM-UP: • 1) If vectors point in the same direction, , then how do you calculate the resultant? • 2) This vector is pointing in which direction? Agenda • Warm-Up 5 min • Physics Vocab. Words 10 min • Binder Set-up 5 min • Review for Quiz 15 min • Vector Notes 10 min • Speed & Velocity WS II 40 min Add the two magnitudes. North HOMEWORK DUE: Contracts & Folders
Vocabulary: Relative: Motion is relative; all measurements are measured from a starting point, reference point. Every measurement is measured relative to this point. Rate: a quantity divided by time Scalar: a quantity, like distance, only magnitude or size. Vector: a quantity, that has magnitude and direction
Binder set-up • In front of dividers: • Homework chart (orange) • Formula chart (purple) • Syllabus • Lab Safety Rules • Coupon (green) • Notes/Handouts • Distance & Displacement Notes II • Distance & Displacement Notes I • Physics Vocab. Chart • Sig. Fig Handout • Linear Motion Notes • “About Science” Notes • Quizzes • Daily Work • Labs • Misc.
Homework due September 6/71) Speed & Velocity WS II2) Study for Quiz on 9/6 (A) 9/7 (B)
Unit 1.3 Review Linear Motion Speed & Velocity Distance & Displacement
Distance and Displacement • Distance and displacement are two quantities which may seem to mean the same thing, yet they have distinctly different meanings and definitions. • Distance (d) is a scalar quantity which refers to "how much ground an object has covered" during its motion. • Displacement(d) is a vectorquantity which refers to "how far out of place an object is from its original position"; it is the object's change in position.
Example A physics teacher walks 4 meters East, 2 meters South, 4 meters West, and finally 2 meters North. Even though the physics teacher has walked a total distance of 12 meters, her displacement is 0 meters. Yet, when she is finished walking, she is not "out of place" – i.e., there is no displacement for her motion (displacement = 0 m). Displacement, being a vector quantity, must give attention to direction. The 4 meters east is canceled by the 4 meters west; and the 2 meters south is canceled by the 2 meters north. Equal & Opposite Vectors
Position Location of the object at a specific time Positionfinal- Positioninital = displacement
You drive the path, and your odometer goes up by 8 miles (your distance). Your displacement is the shorter directed distance from start to stop (yellow arrow). Distance vs. Displacement start stop
What’s your Vector The most important distinction between “distance” and “displacement” is that distance is a scalar and displacement is a vector. Scalars are simple magnitudes. ___You fill in_____ ________________ Vectors contain information about the magnitude (size) and direction of a physical observable. __________________ Explanation
Distance vs. Displacement Evaluation
Summary of Concepts Distance is the length of the path traveled. Displacement is the length and direction of a line from start to finish. Position is a location relative to a point of reference. Motion is a change in position. Displacement is a vector quantity that contains both magnitude and direction. Conclusion
Speed is the distance traveled by a moving object over a period of time
Velocity is speed in a given direction
Calculating Speed • Speed = Distance Time • If a runner travels 100 m in 10 seconds what was his average speed? • Can solve for the other pieces too • Distance = speed x time • Time = Distance Speed
Chapter 4 Vectors
How do we draw forces? With VECTORS Directions of vectors are usually defined as North, South, East, West
VECTORS • An arrow is used to depict a vector. • The arrow’s length represents the magnitude of the vector. • The arrow points in the Direction of the magnitude
How do you get the resultant when we have 2 vectors going in the same direction • ADD their magnitudes • How do you get the resultant when we have 2 vectors going in the same direction • SUBTRACTtheir magnitudes
This “New Vector” is the Net Vector or RESULTANT
Example 1 • Draw vectors & solve the following: • Determine the total displacement of a person moving 5.5m West, then 6.3m East .8 m 5.5 m 6.3 m
Example 2 (Write it down) • Determine the total displacement of a person that is moving 4.5 m West, 5.6 m East and 8.1 m West.
Homework due September 5/61) Speed & Velocity WS II2) Study for Quiz on 9/5 (A) 9/6 (B)
DUE TODAY: • Vocab. Chart (KEEP) • Distance & Displacement Notes II (KEEP) “One's mind, once stretched by a new idea, never regains its original dimensions.”Oliver Wendell Holmes • DUE NEXT CLASS: • Binder/folders/CALCULATOR • STUDY FOR QUIZ • Speed & Velocity WS II