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Resolve the vector into x & y components 40.0 m/s at 45 o SoW

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Chapter 3 Describing Motion

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Motion

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The act of changing location or position

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Motion Diagram

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A tool for the study of motion that uses a series of images to show position at equal time intervals

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Operational Definition

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Defines a concept in terms of the procedure or operation used

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Coordinate System

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A system used to describe motion indicating a zero point, direction, and change of a variable

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Scalar Quantity

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A quantity that has only magnitude

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Vector Quantity

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A quantity that has both magnitude and direction

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Distance

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A scalar quantity equal to the length of one or many displacement vector (How far something moves)

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Displacement

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The vector quantity defining distance and direction between two positions (How far something is from a starting position)

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The change in displacement ( d) is the difference between the starting position (d i ) and the final position (d f )

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Starting position: d i or d 0 Final position: d f or d 1

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Change in displacement: d = d 1 - d 0 or d = d f - d i

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Time Interval

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The differences between two occurrences of two clock readings

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Speed

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The change in distance per unit time

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Average Speed

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The ratio of the total distance traveled over the total time interval

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Velocity

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The change in displacement per unit time

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Average Velocity (v)

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The ratio of the total displacement over the total time interval

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v = d/ t v = d 1 - d 0 t 1 - t 0

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Instantaneous Velocity

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The speed & direction at a particular instant

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Acceleration

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The change in velocity per unit time

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Average Acceleration

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a = v/ t a = v 1 - v 0 t 1 - t 0

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Describe similarities & differences between: 1) distance & displacement 2) speed & velocity

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Write Formulas For: Displacement Average velocity Average acceleration

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DRILL: A car travels 180 km in 30.0 minutes. Calculate its speed in m/s.

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A car goes from 36 km/hr to 72 km/hr in 1.0 minute. Calculate its acceleration in m/s 2.

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A jet accelerates from rest to 360 km/hr due north in 30.0 seconds. Calculate its final velocity.

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Graphing Data

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1 st Order: y = 2x

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2 nd Order Curve Y = x 2

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3 rd Order Curve y = x 3

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Inverse Curve y = 1/x

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