Galileo 1564 -1642 Linear Motion 1

27
Linear Motion 1 Aristotle 384 B.C. - 322 B.C. Galileo 1564 - 1642

Transcript of Galileo 1564 -1642 Linear Motion 1

Page 1: Galileo 1564 -1642 Linear Motion 1

Lin

ear

Mot

ion

1

Aristotle

384 B.C. -322 B.C.

Galileo

1564 -1642

Page 2: Galileo 1564 -1642 Linear Motion 1

Sca

lars

and

Vec

tors

•T

he

mot

ion

of o

bje

cts

can

be

des

crib

ed b

y w

ord

s su

ch a

s–

dis

tanc

e, d

ispl

acem

ent,

spe

ed,

velo

city

, an

d

acce

lera

tion

.

Scalars

Scalars

Vectors

Page 3: Galileo 1564 -1642 Linear Motion 1

Sca

lars

& V

ecto

rs

Scalars:

fully

des

crib

edb

ym

agni

tud

e(o

rsi

ze)

alon

e.T

hat

is,

dir

ecti

onis

not

invo

lved

.–

od

ista

nce,

spee

d,

mas

s,te

mpe

ratu

re

–o

3m

,5

m/s

,6

0kg

,5

o C–

o3

m,

5m

/s,

60

kg,

5o C

•Vectors

are

quan

titi

esfu

llyd

escr

ibe

db

yb

oth

mag

nitu

de

(siz

e)an

dd

irec

tion

.o

dis

plac

emen

t, v

eloc

ity

o3

m,

righ

t; 5

blo

cks

sout

h;

-2 m

(th

e si

gn i

s th

e d

irec

tion

); 2

m/s

, up

Page 4: Galileo 1564 -1642 Linear Motion 1

Dis

tanc

e an

d D

ispl

acem

ent

•Distance

is a

sca

lar

quan

tity

refe

rrin

g to

how

fa

r an

ob

ject

or

pers

on h

as t

rave

led

. It

is

the

read

ing

on a

ped

omet

er o

r on

an

odom

eter

.

•Displacement

is a

vec

tor

quan

tity

refe

rrin

g to

th

e ob

ject

's c

han

ge i

n po

siti

on.

Dis

plac

emen

t is

ca

lcul

ated

by

sub

trac

ting

th

e in

itia

l po

siti

on

from

th

e fi

nal

posi

tion

: X

final-Xinitial

Page 5: Galileo 1564 -1642 Linear Motion 1

Dis

plac

emen

t E

xam

ple

•T

he

phys

ics

teac

her

has

wal

ked

a t

otal

dis

tanc

e of

A physics teacher walks 4

meters East, 2 m

eters

South, 4 m

eters W

est, and

finally 2 m

eters N

orth.

of

•T

he

phys

ics

teac

her

’s d

ispl

acem

ent

is

Page 6: Galileo 1564 -1642 Linear Motion 1

Con

cept

Tes

t #

1A

per

son

init

ially

at

poin

t P

in t

he

illu

stra

tion

st

ays

ther

e a

mom

ent

and

th

en m

oves

alo

ng t

he

axis

to

Q a

nd s

tays

th

ere

a m

omen

t. S

he

then

ru

ns q

uick

ly t

o R

, st

ays

ther

e a

mom

ent,

and

th

en s

trol

ls s

low

ly b

ack

to P

. W

hic

h o

f th

e po

siti

on v

s. t

ime

grap

hs

bel

ow c

orre

ctly

repr

esen

ts t

his

mot

ion?

repr

esen

ts t

his

mot

ion?

Page 7: Galileo 1564 -1642 Linear Motion 1

Con

cept

Tes

t #

2

An

obje

ct g

oes

from

one

poi

nt i

n sp

ace

to

anot

her

. Aft

er i

t ar

rive

s at

its

des

tina

tion

, it

s

dis

plac

emen

t is

:

1. e

ith

er g

reat

er t

han

or

equa

l to

2. a

lway

s gr

eate

r th

an2

. alw

ays

grea

ter

than

3. a

lway

s eq

ual

to

4. e

ith

er s

mal

ler

than

or

equa

l to

5. a

lway

s sm

alle

r th

an

6. e

ith

er s

mal

ler

or l

arge

r th

an t

he

dis

tanc

e it

tr

avel

ed.

Page 8: Galileo 1564 -1642 Linear Motion 1

Spe

ed a

nd V

eloc

ity

•Speed

is a

sca

lar

quan

tity

refe

rrin

g to

how

fas

t an

ob

ject

is

mov

ing.

Dir

ecti

on i

s ir

rele

vant

.

•Velocity

is a

vec

tor

quan

tity

refe

rrin

g to

how

fa

st a

n ob

ject

ch

ange

s it

s po

siti

on.

fast

an

obje

ct c

han

ges

its

posi

tion

.

•Im

agin

e a

pers

on m

ovin

g ra

pid

ly -

one

step

fo

rwar

d a

nd o

ne s

tep

bac

k -

alw

ays

retu

rnin

g to

th

e or

igin

al s

tart

ing

posi

tion

. T

his

mot

ion

resu

lts

in z

ero

aver

age

velo

city

.

Page 9: Galileo 1564 -1642 Linear Motion 1

Spe

ed &

Vel

ocit

y

Page 10: Galileo 1564 -1642 Linear Motion 1

Vel

ocit

y &

Spe

ed•

Th

e ph

ysic

s te

ach

er

wal

ks 4

met

ers

Eas

t, 2

m

eter

s S

outh

, 4

m

eter

s W

est,

and

fi

nally

2 m

eter

s N

orth

. T

he

enti

re m

otio

n la

sts

Th

e en

tire

mot

ion

last

s 2

4 s

econ

ds.

Det

erm

ine

her

ave

rage

spe

ed a

nd

aver

age

velo

city

.

Th

e ph

ysic

s te

ach

er w

alke

d a

dis

tanc

e of

12

m

eter

s in

24

sec

ond

s; t

hus

, h

er a

vera

ge s

peed

was

0

.50

m/s

. H

owev

er,

sinc

e h

er d

ispl

acem

ent

is 0

m

eter

s, h

er a

vera

ge v

eloc

ity

is 0

m/s

.

Page 11: Galileo 1564 -1642 Linear Motion 1

Inst

anta

neou

s an

d A

vera

ge

•Instantaneous Speed

-sp

eed

at

any

give

n in

stan

t in

tim

e–

spee

dom

eter

rea

din

g

•Average Speed

–to

tal

dis

tanc

e d

ivid

ed b

y •Average Speed

–to

tal

dis

tanc

e d

ivid

ed b

y to

tal

tim

e of

tra

vel

–ra

te y

ou w

ould

hav

e to

tra

vel

cons

tant

ly t

o co

ver

the

sam

e d

ista

nce

in t

he

sam

e ti

me

Page 12: Galileo 1564 -1642 Linear Motion 1

Con

stan

t an

d C

han

ging

Spe

ed

Page 13: Galileo 1564 -1642 Linear Motion 1

Acc

eler

atio

n•Acceleration

is a

vec

tor

quan

tity

def

ined

as

the

rate

at

wh

ich

an

obje

ct c

han

ges

its

velo

city

. A

n ob

ject

is

acce

lera

ting

if

it i

s ch

angi

ng

its

velo

city

.

Page 14: Galileo 1564 -1642 Linear Motion 1

Acc

eler

atin

g O

bje

cts

Page 15: Galileo 1564 -1642 Linear Motion 1

Posi

tion

–T

ime

for

Con

stan

t V

eloc

ity

Page 16: Galileo 1564 -1642 Linear Motion 1

Slo

pe o

f Po

siti

on-T

ime

Page 17: Galileo 1564 -1642 Linear Motion 1

Slo

pe o

f Po

siti

on-T

ime

Vel

ocit

y

Page 18: Galileo 1564 -1642 Linear Motion 1

Slo

pe P

ract

ice

1

•C

alcu

late

th

e ve

loci

ty o

f th

e ob

ject

w

hos

e gr

aph

is

show

n ab

ove.

•-2

4m

/8s

= -3

m/s

Page 19: Galileo 1564 -1642 Linear Motion 1

Slo

pe P

ract

ice

2

•D

eter

min

e th

e ve

loci

ty o

f th

e ob

ject

wh

ose

obje

ct w

hos

e m

otio

n is

gr

aph

ed a

t th

e le

ft.

•2

0m

/5s

= 4

m/s

Page 20: Galileo 1564 -1642 Linear Motion 1

Slo

pe P

ract

ice

50

60

70

80

90

100

Position (m)

posi

t. 1

(m

)

posi

t. 2

(m

)

01020

30

40

01

23

45

6

Position (m)

Time (s)

posi

t. 2

(m

)

posi

t. 3

(m

)

posi

t. 4

(m

)

Page 21: Galileo 1564 -1642 Linear Motion 1

Vel

ocit

y –

Tim

e G

raph

--

1

Graphics from Minds On Physics

Page 22: Galileo 1564 -1642 Linear Motion 1

Vel

ocit

y -

Tim

e G

raph

–2

Graphics from Minds On Physics

Page 23: Galileo 1564 -1642 Linear Motion 1

Con

stan

t Po

siti

ve V

eloc

ity

Graphics from Minds On Physics

Page 24: Galileo 1564 -1642 Linear Motion 1

Con

stan

t N

egat

ive

Vel

ocit

y

Graphics from Minds On Physics

Page 25: Galileo 1564 -1642 Linear Motion 1

Ave

rage

Spe

ed P

ract

ice

Com

plet

e th

e ta

ble

bel

ow.

Page 26: Galileo 1564 -1642 Linear Motion 1

Pass

ing

Lan

e –

Posi

tion

-Tim

e

Graphics from Minds On Physics

Page 27: Galileo 1564 -1642 Linear Motion 1

Pass

ing

Lan

e –

Vel

ocit

y-T

ime

Graphics from Minds On Physics