velocity acceleration
TRANSCRIPT
Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley.
In this chapter we study kinematics of motion in one dimension—motion along a straight line. Runners, drag racers, and skiers are just a few examples of motion in one dimension.
Chapter Goal: To learn how to solve problems about motion in a straight line.
Kinematics in One Dimension
Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley.
Topics:
• Uniform Motion• Instantaneous Velocity• Finding Position from Velocity• Motion with Constant Acceleration• Free Fall• Motion on an Inclined Plane• Instantaneous Acceleration
Kinematics in One DimensionKinematics in One Dimension
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Reading QuizzesReading Quizzes
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The slope at a point on a position-versus-time graph of an object is
A. the object’s speed at that point.B. the object’s average velocity at that point.C. the object’s instantaneous velocity at that point.D. the object’s acceleration at that point.E. the distance traveled by the object to that point.
Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley.
The slope at a point on a position-versus-time graph of an object is
A. the object’s speed at that point.B. the object’s average velocity at that point.C. the object’s instantaneous velocity at that point.D. the object’s acceleration at that point.E. the distance traveled by the object to that point.
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Basic Content and ExamplesBasic Content and Examples
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Uniform Motion
Straight-line motion in which equal displacements occur during any successive equal-time intervals is called uniform motion. For one-dimensional motion, average velocity is given by
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Skating with constant velocity
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Skating with constant velocity
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Skating with constant velocity
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Skating with constant velocity
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Skating with constant velocity
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Tactics: Interpreting position-versus-time graphs
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Tactics: Interpreting position-versus-time graphs
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Instantaneous VelocityAverage velocity becomes a better and better approximation to the instantaneous velocity as the time interval over which the average is taken gets smaller and smaller.
As Δt continues to get smaller, the average velocity vavg = Δs/Δt reaches a constant or limiting value. That is, the instantaneous velocity at time t is the average velocity during a time interval Δt centered on t, as Δt approaches zero.
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Finding velocity from position graphically
QUESTION:
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Finding velocity from position graphically
Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley.
Finding velocity from position graphically
Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley.
Finding velocity from position graphically
Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley.
Finding velocity from position graphically
Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley.
Finding velocity from position graphically
Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley.
Tactics: Interpreting graphical representations of motion
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Instantaneous Acceleration
The instantaneous acceleration as at a specific instant of time t is given by the derivative of the velocity
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Finding velocity from acceleration
QUESTION:
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Finding velocity from acceleration
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Summary SlidesSummary Slides
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Important Concepts
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Important Concepts
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Applications