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

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

Chapter 3 Describing Motion

Motion

The act of changing location or position

Motion Diagram

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

Operational Definition

Defines a concept in terms of the procedure or operation used

Coordinate System

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

Scalar Quantity

A quantity that has only magnitude

Vector Quantity

A quantity that has both magnitude and direction

Distance

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

Displacement

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

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

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

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

Time Interval

The differences between two occurrences of two clock readings

Speed

The change in distance per unit time

Average Speed

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

Velocity

The change in displacement per unit time

Average Velocity (v)

The ratio of the total displacement over the total time interval

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

Instantaneous Velocity

The speed & direction at a particular instant

Acceleration

The change in velocity per unit time

Average Acceleration

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

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

Write Formulas For: Displacement Average velocity Average acceleration

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

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

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

Graphing Data

1 st Order: y = 2x

2 nd Order Curve Y = x 2

3 rd Order Curve y = x 3

Inverse Curve y = 1/x

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