chapter02_CM_students - Position Displacement Speed...

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1 •Position & Displacement •Speed & Velocity •Acceleration •Describing Motion in 1D •Free Fall
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2 The position ( r ) of an object describes its location relative to some origin or other reference point . 0 x 2 0 x 1 The position of the red ball differs in the two shown coordinate systems. To express the red ball position we have to define an origin and a direction first.
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3 Vectors & Scalars: A vector is a quantity that has both a magnitude and a direction . Position is an example of a vector quantity. A scalar is a quantity with no direction. The mass of an object is an example of a scalar quantity .
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4 Notation: Vector : F F or The magnitude of a vector: . or or F F F Scalar : e.g. m : is not bold face; there is no arrow for a scalar An example: the wind in weather predictions is given by a direction , e.g. N-E to S-W and a magnitude N-E S-W
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5 Vector components : The space has three dimensions. We therefore define 3 directions, x, y and z. Vectors can be specified by their x, y, and z components in space. e.g. x =W-E, y=N-S, z=Up- Down. For example, the components of the position vector are just the x, y, and z coordinates that specify an object’s location. 0 x(cm) r 2 1 -2 -1 You throw a ball, the position of the ball is cm 2 x r x The + indicates the direction.
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6 0 x(cm) r 2 1 -2 -1 The position of the ball is cm 2 x r x The - indicates the direction.
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7 The displacement is the change in an object’s position . It depends only on the beginning and ending positions. i f r r r Remark: Changes in a quantity are often represented By the Greek letter r f r i
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8 Example (text problem 2.6): Displacement vector A is directed to the est and has magnitude 2.56 km. A second displacement vector B is also directed to the east and has a magnitude 7.44 km.
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  • Fall '09
  • HUANG
  • Acceleration, Velocity, VIX, initital velocity vix

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