Phy10 Lec2 - Kinematics

8/12/2019 Phy10 Lec2 - Kinematics

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Physics 10General Physics 1 Lecture

http://ie.microsoft.com/testdrive/Browser/JavaScriptDateTime/img/solar.jpg


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Physics 10 !s. Teci P"lido #

Lecture 2:

KINEMATICS


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Physics 10 !s. Teci P"lido $

Module 2KINEMATICS Displaceme%t a%d Dista%ce

&elocity a%d Speed

'cceleratio%

'verage a%d (%sta%ta%eo"s &al"es

!otio% with )o%sta%t 'cceleratio%

*reely *alli%g Bodies Projectile !otio%

topgear.com


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Physics 10 !s. Teci P"lido +

Distance vs. Displacement

, Distance- the le%gth of the traveled path

, Displacement- the differe%ce etwee%

the i%itial a%d fi%al positio%s

x= x fx0

x


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Physics 10 !s. Teci P"lido

Which is larger

Displaceme%t Dista%ce

2 Displaceme%t Dista%ce3(f oject moves i% o%e directio% o%ly4

ST

A!T

"INIS#

ST

A!T

"INIS#


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Physics 10 !s. Teci P"lido 5

E$% !ace Trac&

)oach 6io ra% o%e lap

aro"%d the trac7 of radi"s 6.

a. What is his istance tra!ele"

#. What is his is$lace%ent"

#6

0

START

FINISH


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E$% Ta$i !ide

&ree'i&i.%a$ua.eu.$hhtt$:((estuyantesa$ili$inas.&iles.')r$ress.c)%(2*1+(*+(luneta,$ar-.$/

par7

0is$lace%ent 1 0is$lace%ent 2 0is$lace%ent +

0istance 2 0istance 1 0istance +

school Path 1

Path 2

Path +


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E$% 'um(le(ee

B"mleee traveled 7m tothe ast the% # 7m to the ;est.;hat is his:

a4 Total displaceme%t

4 Total dista%ce traveled

/e)cachin/.c)%

$ 7m< ast

8 7m


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Physics 10 !s. Teci P"lido =

No Negative Distance

Ex: Luke ran for 10 miles westward.

;hat was his dista%ce>

;hat was his displaceme%t>

10 miles

10 miles< 190?

or 10 miles< ;

or 10 miles 3@A4


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)elocit*

- the rate of cha%ge of positio%- the 1stderivative of positio% w/ respect to time

- the slope of the @t graph

v =x

t =

displacement

time

m =

y

x v =x

t


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)elocit* as slope o+ $,t graph

1 2 + 3 4 5 6 7 8 1*

*

4

1*

14

2*

24

&9; 2

Lucy's Displacement

Time (s)

Displaceme n

ttoa!"sNo!th(m

)

< =ecall: Strai/ht lines ha!e c)nstant sl)$es>

m =yx

v =x t

= 2ms

j


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Physics 10 !s. Teci P"lido 1$

Which is larger

&elocity Speed

2 &elocity Speed3(f oject moves i% o%e directio% o%ly4

ST

A!T

"INIS#

ST

A!T

"INIS#


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Physics 10 !s. Teci P"lido 1+

E$% !un- "orrest- !un*orrest is r"%%i%g $. m/s towards the ho"se to

the ast. ive his velocity a%d speed.

*orrest the% ra% aro"%d a #.0@7m loc7 twice fora total of o%e ho"r. ive his velocity a%d speed.

&elocity 3$. m/s43A4 $. m/s< ast

Speed $. m/s

&elocity 0.0 7m/hr

Speed +.0 7m/hr


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E$% Dan* the Dragon /ad*Da%y sails off i% a ship movi%g at #0 7%ots

3%a"tical miles4 S per ho"r for #.0 ho"rs.She a%d her crew were statio%ary for $0mi%"tes while they fo"ght off some piratesat sea. 'fterward< they traveled 10 7%ots perho"r E; for 1.0 ho"r. ive Da%yFs:

a4 Total displaceme%t

4 Total dista%ce

c4 'verage velocity

d4 'verage speed

+* -n)ts? SE

4* -n)ts

7.5 -n)ts $er h)ur? SE

13 -n)ts $er h)ur

htt$:((+.#$.#l)/s$)t.c)%(,h0+&@!/'B7(@3-Ba+@KlI(AAAAAAAAD3(r)-yW30Wn3(s15**(0aenerys,Tar/aryen,aenerys,tar/aryen,2785418+,883,1387.$/


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Acceleration is derivative o+ v

Solve for acceleratio%

1:

#:

v ( t) = (4.5 m/s2) t+ 13

v ( t) = (2.0 m /s 4) t3 + (1.3 m /s3) t2 + (8.0 m /s2) t+ 5.5

a3t4 +. m/s#

a3t4 35.0 m/s+43t#4 G 3#.5 m/s$43t4 G 9.0 m/s#


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Acceleration as slope o+ v,t graph

< =ecall: Strai/ht lines ha!e c)nstant sl)$es>

m =yx

a = v t

= 3.6ms

2i

*

1*

2*

+*

3*

&9; +.5 F *

#e!t's $elocity

Time (s)

$elocity%&

asta!"(m's)


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Physics 10 !s. Teci P"lido 1=

Acceleration as 2ndderivative o+ $

1 2 + 3 4 5 6 7 8 1*

*

4

1*

14

2*

24

&9; 2

Lucy's Displacement

Time (s)Di

splacementtoa!"

sNo!t

h(m)

1st "e!iatie

n" "e!iatie

m =y

x v =

x

t = 2

m

sj

a=2x

t2 =

d

dt(2ms j)= 0 ms2


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Physics 10 !s. Teci P"lido #1

Average vs. Instantaneous )alues

Have mea% val"e over timeH

i%st val"e for o%e i%sta%t 3time4

:

aave

+.9 m/s#

ai%st

3t1s4 #.0 m/s#

ai%st

3t=s4 10 m/s#

*

2

3

5

7

1*

12

Rocco's Accele!ation

Time (s)

Acce

le!atio

n(m's*)


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Physics 10 !s. Teci P"lido ##

DEM1% Moving Man

phet.colorado.ed"


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Physics 10 !s. Teci P"lido #$

Motion ith Constant Acceleration

a 3 4v+5 v67 8 t

$+3 $69 v6t 9 : at2

4$+5 $67 3 : 4v+9 v67t

v+23 v6

29 2a4$+5 $67

1#$rf.com


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Physics 10 !s. Teci P"lido #+

E$% /ightning Mc;ueen

Iight%i%g< starti%g from rest< accelerates at m/s#.3a4 ;hat is his velocity after traveli%g 100 m>

34 ow m"ch time has elapsed si%ce 3a4>

wallpowper.com

$1.5 m/s

5.$# s


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Physics 10 !s. Teci P"lido #

"ree "all

, '% oject whicho%ly eperie%ces

o%e force: gravity

, 'cceleratio%:

a - g - =.9 m/s#

mwit.ac.th

)'n'ar:is$lace%ent? !el)city? accelerati)n


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E$% Catching "ire

http://cjdarli%gto%.logspot.com

Kat%iss verdee% shoots a%

arrow straight "p i% the air at a%

i%itial speed of 1 m/s. 'fter

how m"ch time does the arrow

have...3a4 a% "pward speed of 9.0 m/s>

34 a dow%ward speed of 9.0 m/s>

0.81 s

#.$ s

v 0 m/s

v G9 m/s v @9 m/s

v G1 m/s v @1 m/s


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Physics 10 !s. Teci P"lido #=

DEM1%


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Physics 10 !s. Teci P"lido $0


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Physics 10 !s. Teci P"lido $#

E$% Angr* Cardinals

http://space.a%gryirds.com/a%%o"%ceme%t/img/thefloc7.p%g

' very a%gry ird is la"%ched from

the gro"%d with a% i%itial velocity of1# m/s a%d a la"%ch a%gle of

50.0. 'fter #.0 s< give the ff.:

a4 oriRo%tal displaceme%t< 4 &ertical displaceme%t< y

c4 oriRo%tal velocity< v

d4 &ertical velocity< vy

e4 oriRo%tal acceleratio%< a

f4 &ertical acceleratio%< ay

15 my #+0 m

v 5#. m/s

vy 9$.9 m/s

a 0.00 m/s#

ay - =.90 m/s#


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E C h C


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Physics 10 !s. Teci P"lido $+

E$% Crash Course

Ii%dsay was drivi%g at 0 miles per seco%d

whe% she decided to apply the ra7es

s"ch that she decelerates at a co%sta%t

rate of - mi/s#. ;hat time wo"ld elapse

efore her car comes to a stop>

10 seco%ds

E$% 1ops


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Physics 10 !s. Teci P"lido $

E$% 1ops

' flower pot was accide%tally "mped off

from the top of a 10@m "ildi%g. ;ith

what velocity does it la%d>

- + m/s

E$% )elocities


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E$% )elocities

*or the v@t graph elow

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Phy10 Lec2 - Kinematics

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