ch2 - Chapter 2 Motion in One Dimension These brief notes...

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Chapter 2 Motion in One Dimension These brief notes are provided here to give the students a summary of the lectures given in class. The textbook should still be the complete source for the course.
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Kinematics Describes motion while ignoring the agents that caused the motion For now, will consider motion in one dimension Along a straight line Will use the particle model A particle is a point-like object, has mass but infinitesimal size
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Position Defined in terms of a frame of reference One dimensional, so generally the x- or y- axis The object’s position is its location with respect to the frame of reference
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Position-Time Graph The position-time graph shows the motion of the particle (car) The smooth curve is a guess as to what happened between the data points
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Displacement Defined as the change in position during some time interval Represented as x SI units are meters (m) x can be positive or negative Different than distance – the length of a path followed by a particle i f x x x
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Vectors and Scalars Vector quantities need both magnitude (size or numerical value) and direction to completely describe them Will use + and – signs to indicate vector directions Scalar quantities are completely described by magnitude only
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Average Velocity The average velocity is rate at which the displacement occurs The dimensions are length / time [L/T] The SI units are m/s Is also the slope of the line in the position – time graph t x x t x v i f av erage
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Average Velocity, cont Gives no details about the motion Gives the result of the motion It can be positive or negative It depends on the sign of the displacement It can be interpreted graphically It will be the slope of the position-time graph
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Displacement from a Velocity - Time Graph The displacement of a particle during the time interval t i to t f is equal to the area under the curve between the initial and final points on a velocity-time curve
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Instantaneous Velocity The limit of the average velocity as the time interval becomes infinitesimally short, or as the time interval approaches zero The instantaneous velocity indicates what is happening at every point of time
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ch2 - Chapter 2 Motion in One Dimension These brief notes...

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