Modul 13 Hukum Linear 2

8/18/2019 Modul 13 Hukum Linear 2

1/24

MODUL 13 / TG5: HUKUM LINEAR

KERTAS 1

1. Ungkapkan persamaan ak !"near x# y $ m % nx# &a!am 'en(k Y %mX $c.)&engan kea&aan

m &an n a&a!a* pema!ar.

Express the non-linear equation x2 y + m = nx2 in the form of Y=mX+c. +*ere m an& n

are ,-nsans.

3 m / Aras R

#. Ungkapkan persamaan ak !"near Fakx % y &a!am 'en(k Y %mX $c. Ten(kan (ngkapan

'ag" Y, X, m, an& c, &engan kea&aan a, k &an F a&a!a* pema!ar .

Express the non-linear equation Fakx = y in the form of Y=mX+c. Determine the

expressions of Y, X, m, an c, !here a, k an F are constants.

3 m / Aras R

3. D"'er" q &an p &"*('(ngkan -!e* persamaan p=h$ &engan kea&aan h &an k

"a!a* pema!ar. Terangkan 'aga"mana n"!a" h &an k &apa &"per-!e*" &ar"pa&a sa(

gra0 gar"s !(r(s.

"i#en q an p are relate $y the equation p=h+!here h an k are constants.

Explain ho! the #alues of h an k can $e o$taine from a strai%ht line %raph.

3 m / Aras R

. Ra2a* 1 &" 'a+a* men(n2(kkan se'a*ag"an gra0 gar"s !(r(s ang &"!(k"s &engan

persamaan cx + y = xy &" mana c &an a&a!a* pema!ar.

Dia%ram & sho!s part of a strai%ht line %raph ra!n to represent equation

cx + y = xy !here c an are constants.

MODUL SOLAF MATEMATIK TAMBAHAN M13 -

qk

q

qk

q

x

y

x

( 0, )

(4, 3)

0

13


2/24


Ra2a* 1 / Dia%ram &

4ar" n"!a" c &an .

Fin the numerical #alue of c an . m / Aras S

5. em'-!e* ('a* x &an y &"*('(ngkan -!e* persamaan y % kx)&engan kea&aan k a&a!a*

pema!ar.

'he #aria$les x an y are relate $y the equation y = kx( , !here k is a constant.

6a7 T(karkan persamaan y % kx kepa&a 'en(k !"near.

)on#ert the equation y = kx(

to linear form. # m / Aras S



3/24


6a7 Ra2a* # men(n2(kkan gar"s !(r(s ang &"per-!e* &engan memp!- !-g18 y

me!a+an !-g18 x.

Dia%ram 2 sho!s the strai%ht line o$taine $y plottin% lo% &* y a%ainst lo% &* x

4ar" n"!a"

Fin the #alue of6"7 !-g18 k )

6""7 h.

# m / Aras S

Ra2a* # / Dia%ram 2

.

9. em'-!e* ('a* x &an y &"*('(ngkan -!e* persamaan y % kx3 &engan kea&aan k a&a!a*

pema!ar.

'he #aria$les x an y are relate $y the equation , !here k is a constant.

6 a 7 4ar"kan *('(ngan anara &an ..

Fin the relationship $et!een an .


3 y kx=

18!-g y18!-g x

18!-g y18!-g x

!-g18

y

!-g18

x

• 6 8) 7

•

63) h 7


4/24


# m / Aras S

6 '7 Ra2a* 3 men(n2(kkan gar"s !(r(s ang &"per-!e* &engan memp!- !-g18 y

me!a+an !-g18 x.

Dia%ram sho!s the strai%ht line o$taine $y plottin% a%ainst lo% &* x.

4ar" n"!a" 'ag" Fin the #alue of

6"7 ,

6""7 h # m / Aras S

Ra2a* 3 / Dia%ram

. Ra2a* men(n2(kkan se'a*ag"an gra0 gar"s !(r(s ang &"per-!e*" &ar"pa&a

p!- me!a+an x#.

Dia%ram ( sho!s part of a strai%ht line %raph o$taine $y plottin% a%ainst

x2.

69)87 x#


18!-g y

18!-g k

x

y

x

y

x

y

68) #76) h7

•

•


5/24


68);37

Ra2a* / Dia%ram (

6a7 Ungkapkan &a!am se'(an


6/24


Ra2a* 5 / D"agram 5

4ar"/ Fin 6a7 !-g y &a!am se'(an !-g x

lo% y in terms of lo% x # m / Aras S

6'7 n"!a" y apa'"!a x % # m/ Aras S

#alue of y !hen x = (

>. Ra2a* 9 men(n2(kkan gra0 gar"s !(r(s ang &"*('(ngkan -!e* persamaan y % a x '

&engan kea&aan a &an $ "a!a* pema!ar.

Dia%ram / sho!s the %raph of the strai%ht line that is relate $y the equation

y = ax$ !here a an $ are constants.

!-g y

6)87 !-g x


•68);#7

•


7/24


D"agram 9

4ar")

Fin,

6a7 n"!a" a &an $ 3 m / Aras S

the #alue of a an $,6'7 n"!a" y apa'"!a x % 5 # m / Aras S

the #alue of y !hen x = .

18. Ra2a* men(n2(kkan gra0 gar"s !(r(s ang 'er*('(ng &engan persamaan

xy = ax2 + $ &engan kea&aan a &an $ "a!a* pema!ar.

Dia%ram 0 sho!s the %raph of the strai%ht line that is relate $y the equation

xy = ax2 + $ !here a an $ are constants.

xy 611)97

61)#7

x#

Ra2a* / Dia%ram 0

4ar" n"!a" a &an $.

Fin the #alue of a an $.

m / Aras S


•

•


8/24


11. Ra2a* = men(n2(kkan gra0 me!a+an .

Dia%ram 1 sho!s a linear %raph of a%ainst .

x#

Ra2a* = / D"agram =

em'-!e*('a* x &an y

&"*('(ngkan &engan

persamaan ) &engan kea&aan p


y

1# x

y

1# x

y

1

q x y

p+=

##

? 6 8 ) ;# 7

? 6 ) 9 7


9/24


&an q "a!a* pema!ar.

'he #aria$les an are relate

$y the equation , !here an are

constants)

6a7 en(kan n"!a" p &an @)

etermine the #alues of an , # m / Aras S

6'7 (ngkapkan &a!am se'(an x

express in terms of . # m / Aras S

1#. 4ar" persamaan 'ag" gar"s !(r(s pen(a"an er'a"k 'er&asarkan gra0 'er"k( &an

en(kan n"!a" x apa'"!a y % .5.

Fin the equation of the line of $est fit $ase of the follo!in% %raph an etermine

the #alue of x !hen y = (..

. m / Aras T

13 Ra2a* > men(n2(kkan gra0 !engk(ng y % – x# + 5 &an ra2a* 18 men(n2(kkan gra0 !"near

ang &"per-!e* apa'"!a y % – x2 + 5 &"(ngkapkan &a!am 'en(k !"near Y % 5 X + ,.

Ungkapkan X &an Y &a!am se'(an x &an/aa( y.

Dia%ram sho!s the cur#e y = – 0x2 + an ia%ram &* sho!s the linear %raph

o$taine !hen y = – 0x2 + is expresse in the linear form Y = X + c. Express X an Y

in terms of x an3or y. 3 m / Aras T


x y

q p

q pq x

y

p+=

## y x


10/24


Ra2a* > / D"agram >

Ra2a* 18/ D"agram 18

1. Ungkapkan y &a!am se'(an x 'er&asarkan gra0 ang 'er"k(.

Express y in terms of x $ase on the follo!in% %raph. 3 m / Aras S

15. Ra2a* 'er"k( men(n2(kkan gra0 !"near


11/24


19 . em'-!e* ('a* x &an y &"*('(ngkan &engan persamaan y = pq x) &engan kea&aan p &an

q "a!a* pema!ar. B"ka gra0 !-g y me!a+an x &"p!-)sa( gar"s !(r(s &engan ke,er(nan )

me!a!(" ""k 6) ##7 akan &"per-!e*". 4ar" n"!a" p &an q.

'he #aria$les x an y are relate $y the equation y = pq x , !here p an n are constants.

4f a %raph of lo% y a%ainst x is plotte, a strai%ht line !ith %raient (, !hich passes

throu%h the point 5(,226 !oul $e o$taine. Fin the #alues of p an q.

m / Aras S

1. em'-!e* ('a* u &an # &"*('(ngkan &engan persamaan 9# % 3 6u $ 1 7# $ 5m &" mana

m "a!a* pema!ar.

'he #aria$le u an # are relate $y the equation /# = 5u + & 62 + m such that m is a

constant.

6 a 7 Apa'"!a gra0 me!a+an 6 u $ 1 7# &"p!-) sa( gar"s !(r(s me!a!(" ""k 68) ;187

&"per-!e*". 4ar" n"!a" m.

7hen the %raph # a%ainst 5 u + & 62 is plotte, a strai%ht line passin% throu%h

the point 5 *, -&* 6 is o$taine. Fin the #alue of m.

# m / Aras T

6 ' 7 Seer(sna) ,ar" ke,er(nan &an p"nasan;Y 'ag" gar"s !(r(s gra0 6 # ; u7me!a+an u#

ence, fin the %raient an Y-intercept for the strai%ht line of the %raph

5 # - u6 a%ainst u2

# m / Aras T

MODUL SOLAF MATEMATIK TAMBAHAN M13 - 11


12/24


1=. D(a pem'-!e* ('a*) x &an y)

&"*('(ngkan &engan persamaan

&engan p &an q a&a!a* pema!ar.

B"ka gra0 me!a+an < &"!(k"s) sa( !engk(ng me!a!(" 61) =7 &"per-!e*". B"ka gra0

me!a+an &"!(k"s) sa( gar"s !(r(s &engan ke,er(nan &"per-!e*". 4ar" n"!a" p &an q.

'!o #aria$les, x an y , are

relate $y the equation !ith p

an q are constant. 4f a %raph of y #ersus x is ra!n, a cur#e passin% throu%h 5 &, 1 6 is o$taine. 4f the %raph #ersus

is ra!n, a strai%ht line !ith %raient is o$taine. Fin the #alues of p an q.

5 m / Aras T


#

px y

qx=

+

1

y

1

x

1

9

#

px y

qx=

+

1

y

1

x

1

9


13/24

8

8


1>.

Ra2a* 11/ D"agram 11

Ra2a* 11 men(n2(kkan gra0 !-g y me!a+an !-g x. D"'er" pan2ang 8 % 15 (n" &an ""k

8 a&a!a* er!eak &" aas paks";Y

Dia%ram && sho!s the %raph lo% y a%ainst lo% x. "i#en the len%th 8 = & units an

point 8 is on the Y-axis.

6a7 4ar" k--r&"na 8

Fin express y in term of x the coorinates of 8 # m / Aras S

6'7 Ungkapkan y &a!am se'(an x

Ekspress y in term of x # m / Aras S

6,7 4ar" n"!a" apa'"!a x% 19

Fin y !hen x=&/ # m / Aras S


6 1#) 11 7

!-g x

!-g y


14/24


KERTAS #

1. Ba&(a! 1 men(n2(kkan n"!a";n"!a"

'ag" pem'-!e* ('a* x &an y )

ang &"per-!e*" &ar"pa&a sa(

eksper"men. em'-!e* ('a* x &an y &"*('(ngkan -!e* persamaan ) &engan kea&aan a

&an $ "a!a* pema!ar.

'a$le 1 sho!s experimental

#alues of the #aria$les x an y!hich are relate $y the equation

, !here a an $ are constants.

x # 9 = >

y 9.# #.=# 1.> 1.33 1.1

Ba&(a! 1 / 'a$le &

6 a 7 T(karkan persamaan

kepa&a 'en(k !"nearY=$X+a, &engan kea&aan X

&an Y a&a!a* 0(ngs" &a!am x &an/aa( y.

9euce the equation to a

linear form Y=$X+a !here

X an Y are the functions of

x an3or of y.

Cerasaskan Ba&(a! 1) '"na sa( 2a&(a! 'ag" n"!a" x an& x2 y.

:ase on 'a$le &, construct a ta$le for the #alue of x an x2 y.

# m / Aras R

6 ' 7 !-kan x2 y me!a+an x &engan mengg(nakan ska!a 1 ,m kepa&a1 (n" pa&a paks"; x &an 1,m kepa&a 5 (n" pa&a paks"; x2 y. Seer(sna !(k"s sa( gar"s !(r(s

pen(a"an er'a"k .

;lot x2 y a%ainst x usin% scale of & cm to & unit on x-axis an &cm to unit on

x2 y


15/24


5 m / Aras T

#. Ba&(a! # men(n2(kkan n"!a" 'ag" &(a pem'-!e* ('a*) x &an y) &"per-!e*" &ar"pa&a sa(

eksper"men.em'-!e* ('a* < &an &"*('(ngkan -!e* persamaan y% pk x) &engan

kea&aan p &an k "a!a* pema!ar.

'a$le 2 sho!s the #alues of t!o #aria$les, x an y, o$taine from an experiment.

aria$les x an y are relate $y the equation y= pk x , !here p an k are contants.

x 1 # 3 5 9

y .9= .1# 11.8 19.53 #5.59 8.81

Ba&(a! #/ 'a$le 2

6 a 7 Terangkan 'aga"mana sa( gar"s !(r(s &apa &"!(k"s (n(k me+ak"!" persamaan

ang &"'er".

Explain ho! a strai%ht line may $e ra!n to represent the %i#en equation.

# m / Aras S

6 '7 !- !-g18 y me!a+an x &engan mengg(nakan ska!a # ,m kepa&a 1 (n" pa&a

paks"; x &an # ,m kepa&a 8.# (n" pa&a paks";!-g18 y. Seer(sna) !(k"s sa( gar"s

!(r(s pen(a"an er'a"k.

;lot lo% &* y a%ainst x $y usin% a scale of 2 cm to & unit on the x-axis an 2 cm to

*.2 unit on the lo% &* y-axis. ence, ra! the line of $est fit.

. 3 m / Aras S 6,7 G(nakan gra0 an&a &ar"pa&a 6 ' 7 (n(k men,ar" n"!a"

>se your %raph from 5$6 to fin the numerical #alue of

6 " 7 p)

6 "" 7 k .

5 m / Aras T

.



16/24


3. Ba&(a! 3 men(n2(kkan &(a pem'-!e* ('a*) x &an y ang &"per-!e*" &ar"pa&a sa(

eksper"men. em'-!e*('a* < &an &"ka"kan -!e*

persamaan

&engan kea&aan r &an n "a!a* pema!ar.

'a$le sho!s the #alues of t!o #aria$les , x an y o$taine from an experiment.

#aria$le x an y are relate $y

the equation !here r an n

are constants.

x # 3 5 9

y = 13.# #8 #.5 39.9 5.5

6a7 !- me!a+an x ) g(na ska!a # ,m kepa&a 1 (n" pa&a ke&(a;&(a paks".

Seer(sna) !(k"s gar"s !(r(s pen(a"an er'a"k.

;lot a%ainst x , usin% a scale of 2 cm to & unit on $oth axes.

ence, ra! the line of $est fit. 5 m / Aras S

6'7 G(na gra0 an&a &ar"pa&a 6a 7

>se your %raph from 5a6,

6 "7 ,ar" peng*amp"ran n"!a" 'ag" pema!ar n &an r, fin the approximate #alues of the constant n an r

6 ""7 ,ar" n"!a" apa'"!a x % 1.5

fin the #alue of y !hen x = &..

5 m / Aras T


## )n y rx xr

= +

## )n

y rx xr

= +

y

x y

x

Ba&(a! 3 / 'a$le


17/24


.

Ba&(a! / 'a$le (

Ba&(a! &"rama!kan &ar"pa&a sa( e-r" 'a*a+a &(a pem'-!e*('a*) &an )

&"*('(ngkan -!e* persamaan # % h; $ k ) &engan kea&aan h &an k a&a!a*

pema!ar.

'a$le ( is preicte from theory that t!o #aria$les, ; an , are relate $y the

equation 2 = h; + k, !here h an k are constants.

6a7 !- gra0 # me!a+an ; &engan mengg(nakan ska!a # ,m kepa&a 58 (n"

pa&a paks"; ; &an # ,m kepa&a 8.# (n" pa&a paks"; # )&an seer(sna)

!(k"s gar"s !(r(s pen(a"an er'a"k.

;lot the %raph of 2 a%ainst ; $y usin% a scale of 2 cm to * unit on the ;-axis an 2 cm to *.2 units on 2- axis ,an hence, ra! the line of $est fit.

5 m / Aras S

6'7 Dar"pa&a gra0 an&a)2a+a' s-a!an

From your %raph, ans!er the follo!in% questions

6"7 4ar" n"!a" h &an k

Fin the #alue of h an of k.

6""7 B"ka n"!a" "a!a* 1.3#) anggarkan n"!a" .

4f the #alue is &.2, estimate the #alue of ; .

5 m / Aras S


; 58 188 158 #88 #58

1.18 1.1= 1.#9 1.3 1.1


18/24


5. Ba&(a! 5 men(n2(kkan &(a pem'-!e* ('a*) x &an y) &"per-!e*" &ar"pa&a sa(

eksper"men.

'a$le sho!s the #alue of t!o #aria$les, x an y , o$taine from an experiment.

x 1.8 1.5 #.8 #.5 3.8

y 1.= #.#9 3.11 .9> . Ba&(a! 5 / 'a$le

A&a!a* &"kea*(" x &an y &"ka"kan

&engan persamaan ) &engan

kea&aan a &an $ a&a!a* pema!ar.

4t is kno!n that x an y are

relate $y the equation , !here a

an $ are constants.

6a7 Cer&asarkan 2a&(a! 5) '"na 2a&(a! 'ag" n"!a" sepa&an !-g18 y &an x2.

:ase on ta$le , construct a ta$le for the corresponin% #alues of lo% &* y

an x2.

# m / Aras R

6'7 Dengan mengg(nakan ska!a # ,m kepa&a 1 (n" kepa&a paks" x# &an # ,m

kepa&a 8.# (n"s kepa&a !-g18 y- ase your %raph to estimate the #alues of a an $.

5 m / Aras S


# xa$ y =

# xa$ y =


19/24


9. Kep((san &a!am 2a&(a! 9 &"per-!e*" se,ara eksper"men 'ag" &(a pem'-!e* ('a*) x

&an y. D"kea*(" 'a*a+a x

&"*('(ngkan &engan y -!e*

persamaan )

&engan kea&aan a &an $ "a!a* pema!ar.

'he results in the ta$le / are

o$taine experimentally for

t!o #aria$les, x an y. 4t is

kno!n that x an y are relate $y the equation , !here a an $ are constants.

x 1 # 3 5

y 1. 3.3 . 5.= 9.5

Ba&(a! 9 / 'a$le /

6a7 T(karkan persamaan ak !"near kepa&a 'en(k !"near.

)on#ert the non-linear equation into a linear form.

. # m / Aras S

6'7 L(k"s gra0 me!a+an x &engan mengg(nakan ska!a # ,m kepa&a 1 (n"

pa&a paks"; x &an # ,m kepa&a # (n" pa&a paks" .

Dra! the %raph #ersus x $y usin% a scale 2 cm to & unit on the x


20/24


&engan persamaan ) &engan kea&aan p &an k "a!a* pema!ar.

'a$le 0 sho!s that the

#aria$les, x an y are

connecte $y the equation ,

!here p an k are constants.

x # 3 5 9

y = 13.# #8 #.5 39.9 5.5

Ba&(a! / 'a$le 0

6a7 T(kar persamaan

kepa&a sa( gra0 gar"s

!(r(s ang ses(a".

)on#ert the equation

into a suita$le strai%ht line

%raph.

# m / Aras S

6'7 !- me!a+an x, g(na ska!a # ,m kepa&a 1 (n" pa&a ke&(a;&(a paks".

Seer(sna) !(k"s gar"s !(r(s pen(a"an er'a"k.

;lot a%ainst x, usin% scale of 2 cm to & unit on $oth axes. ence,

ra!

the line of $est fit.

. 3 m / Aras S

6,7 G(nakan gra0 an&a pa&a 6a7 (n(k men,ar" n"!a"

>se your %raph in 5a6 to fin the #alue of

6"7 p)

6""7 k )6"""7 y apa'"!a x = 1.#)

y !hen x = &.2,

5 m / Aras S

=. D(a k(an"") x &an y &"*('(ngkan -!e* persamaan &engan kea&aan &an

"a!a* pema!ar.

'!o quantities, x an y, are relate $y the equation !here ; an ?


xk

pkx y += ##

xk

pkx y += ##

xk

pkx y += ##

x

y

x

y

) x ;

y

?

=

) x ;

y?

=


21/24


are

constants.

x #.58 3=.58 3#.81 #5.58 13.88 .>=

y 1.8 1.98 #.88 #.58 3.=8 .58

6 a7 !- !-g18 y !a+an x) g(na # ,m kepa&a 5 (n" pa&a paks"; x &an # ,m

kepa&a 8.1 pa&a paks"; y. Seer(sna) !(k"s gar"s !(r(s pen(a"an er'a"k.

;lot lo% &* y a%ainst x, $y usin% a scale of 2 cm to units on the x-axis an 2 cm

to *.& units on the y-axis. ence, ra! th line of $est fit.

m / Aras S

6 '7 G(na gra0 &ar"pa&a 6a7 (n(k ,ar" n"!a"

>se the %raph from 5a6 to fin the #alue of

6"7 ;

6""7 ?

6"""7 y apa'"!a x % 15.5

y !hen x = &.

9 m / Aras S

>.

x #.8 3.8 .8 5.8 9.8

y 5.5= 9.5> .3 =.1= =.=9

6a7 L(k"s gra0 !-g y me!a+an !-g x

Dra! the %raph of lo% y #ersus lo% x



22/24


5 m / Aras S

6'7 T(!"s *('(ngan anara x &an y &a!am persamaan 'er'en(k

7rite o!n the relationship associatin% x an y as an equation in the form

6 "7 !-gar"ma

lo%arithm

6""7 "n&eks 4nex

3 m / Aras T

6,7 K"ra n"!a" x apa'"!a y % >

)alculate the #alue of x !hen y =

# m / Aras T

18. D(a -rang pe!a2ar men2a!ankan sa( eksper"men (n(k mengka2" sesaran ses(a( -'2ek)

c ,m &ar" sa( ""k pa&a t saa. Sa!a* sa( &ar"pa&a mereka memer*a" masa &an se-rang

!ag" men,aa sesaran.Kep((san &"(n2(kkan &a!am Ba&(a! =.

'!o stuents conucte an experiment to stuy the isplacement of an o$@ect, c cm from a point at t secon. ne of them o$ser#e the time the other one recore the

isplacemen . 'he results are sho!n in ta$le 1.

T"me) t

6se,-n&7#8 8 98 188 1#8 198

D"sp!a,emen)

s 6meer79.= 19. 3>.5 9= >8 1=.=

Ba&(a! = / 'a$le 1

Sa!a* sa( n"!a" 'ag" s &"sak" "&ak epa.

ne of the #alue of s is $elie#e to $e inaccurate. 6a7 Dra+ *e grap* ers(s t

Aukis %raf mela!an t m / Aras S

6'7 6 "7 Mana sa( n"!a" s a&a!a* "&ak epa &an ,ar" n"!a" ang sepa(na.

7hich #alue of s is inaccurate an fin its correct #alue.

# m / Aras T

6""7 Cerasaskan gra0 an&a) ,ar" n"!a";n"!a" a &an ( 2"ka s &an &"ka"kan &engan

persamaan s = ut +at 2 &engan kea&aan a &an u "a!a* pema!ar.

:ase on your %raph, fin the #alues of a an u if s an t is relate $y the

equation s = ut +at 2

such that a an u are constant.. m / Aras T

11.

T"me) t

6se,-n&71 # 3 5 9

D"sp!a,emen)

s 6meer73.5 =.9 15.> #.8 39.8 k 91.5

Ba&(a! > / 'a$le

Ba&(a! > men(n2(kkan n"!a" 'ag" sesaran) s meer &an masa ) t saa ses(a( -'2ek

'ergerak. D"'er" s = ut +at 2) &engan u "a!a* *a!a2( a+a! &an a "a!a* pe,(an -'2ek.


s

t s

t

1

#


23/24


'a$le sho!s the #alues of isplacement, s meter an time, t secons of a mo#in% o$@ect.

"i#en s = ut +at 2 , such that u is the initial #elocity an a is the acceleration of the

o$@ect.

6 a 7 L(k"s gra0 me!a+an t .

Dra! the %raph #ersus t.

m / Aras T 6' 7 Cer&asarkan gra0 an&a) ,ar"

:ase on your %raph, fin

6"7 *a!a2( a+a!

initial #elocity

6""7 e,(an

acceleration,

6""7 n"!a" k

the #alue of k

9 m / Aras T

1#. Ba&(a! > men(n2(kkan n"!a" 'ag" pem'-!e* ('a* u &an #) &"per-!e*" &ar" sa(

eksper"men. 'a$le sho!s #alues of #aria$les u an #, !hich are o$taine from an experiment .

u 1# 15 #8 #= 8

# >.3 11.5 1 1 ##

Ba&(a! > / 'a$le

6a7 A&a!a* &"kea*(" 'a*a+a (

&an &"*('(ngkan -!e*

persamaan ) &engan kea&aan k

"a!a* pema!ar. Terangkan 'aga"mana sa( gra0 gar"s !(r(s &apa &"!(k"s (n(k

me+ak"!" persamaan "n".


1

#

s

t s

t

1 1k

# u= +


24/24


4t is kno!n that u an # are

connecte $y the equation ,

!here k is a constant.

Explain ho! a strai%ht line %raph can $e ra!n to represent this equation.

5 m / Aras T

6'7 Seer(sna) &engan mengg(nakan ska!a #,m kepa&a 8.81 (n" pa&a ke&(a;&(a

paks") !(k"s gra0 me!a+an (n(k peng*amp"ran n"!a" 'ag" k.

ence, $y usin% a scale of 2cm to *.*& unit on $oth axes, ra! the %raph of

a%ainst to etermine the approximate #alue of k

5 m / Aras T

MODUL SOLAF MATEMATIK TAMBAHAN M13 24

1 1k

# u= +

1

#

1

u1

#1

u

Documents

Modul 13 Hukum Linear 2