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Distance and Displacement In One Dimension
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The shortest distance between any two points is a straight line
Point A It is not always possible to make a straight line path Point B
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Distance The length measured between two points along the exact path taken to get there Ex: What is the distance between point A and Point B B A
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Displacement B A How far two points are from each other
The length from A to B along the shortest possible path Distance B Displacement A
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Magnitude and Direction
Magnitude is the amount of length, speed, etc. Vector—a line representing the amount and direction of a measurement Magnitude Direction
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Combining Displacements
Add the magnitudes of two displacement vectors that have the same direction. Two displacement vectors with opposite directions are subtracted from each other.
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Overall displacement can equal zero
Displacement is a change in position. If you start at a position and end at the exact same position, how much has your position changed?
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You Try What is the displacement of an object that moves 25 km east and then 5 km west? Magnitude = – 5 = 20 Direction = east because the resultant arrow would point eastward 5 25
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