( )(d)

d xi= D

��

> | |d

��

= | |d

Dt t t= -2 1

stav

m

s=

®®D

( )

( )

SÎIv¶

S¨oe ·I¶p

v xti v x

tav av= Þ =D

DDD

vav Dx

: ( )v5m s/ : (v)

5m s/

x m0 40== -- xt s2 10== x m1 100== t s1 6==

( 10 s SI x m2 20==2 ( 6 ( 14 ( 22 (v xtav =

DD

«

v x xt t m sav =--

= - --

= =2 02 0

20 40

10 0

60

106

( ) /

x m1

100= t s1

6=

ÂÄI¿º Søow ¾Ã²»H Søow

ITwHn ¦Ä nj S¨oe ÁHoM ôw¼T¶ JIT{(m / s )2 aav vt t

vtav

m s

s=

--

=®®

2 1

2 1

DD

( / )

( )

Søow oÃÃûU

Søow oÃÃûU ºI¶p â½pIMM

: a

xx x

( )a =0 Ü =Dv 0 Ü

( )a >0 Ü > ÜDv 0

( )a

v t t= - -2 4 22

t s v m s= Þ = - - = -2 2 2 4 2 2 21

2( ) ( ) /t s v m s= Þ = - - =4 2 4 4 4 2 14

2

2( ) ( ) /

a vtav =DD

a v vt t m sav =--

= - --

= =2 12 1

214 2

4 2

16

28

( ) /

x2 t1 x1t2

v xt

x xt t

t tav = =--

= =DD

2 1

2 1

2 11( )ôi KÃ{ ÁIÀï·I¶p ¸ÃM ¥odT¶ ôwIU ¼¼T¶ Søow

( )21

ôi KÃ{

ï

á¾Êd² nj ¥odT¶ ÁHï¾Êd² Søow = t

pH

¾M

é

ëê

ù

ûú

·k{n»j

·k{ ¦Äjqº

é

ëê

ù

ûú t

pH

¾M

é

ëê

ù

ûú

·k{n»j

·k{ ¦Äjqº

é

ëê

ù

ûú

t x t-

t2

t1v1

t

t2 v t-

tt t

t tt t

S

S2 1 1

3 2 2

0IU â¾Êd² »j ¸ÃM ÂÄI] ¾MI]

IU â¾Êd² »j ¸ÃM ÂÄI] ¾MI]

=

=

>

x

x

(2 5/ (10 ( 7 5/ (

v t- x «t s= 25 ¢t t

x

v xt

Stav

= =- ¢

DD

| |25

x

=

- ´ - ¢

- ¢= =

|( )

|/ /

15 25

2

25

15

27 5

t

tm s

S v= D t

a v. > Û0a = Û0a v. < Û0

Û

t

ÛÛt

«

t1t2

( )a =0( )v vav=

(m / s)

( )

Søow ¥odT¶ á¾Ã²»H ·I§¶

â¾Êd² nj ¥odT¶ ·I§¶

·I¶p

t

s

x v t x¬ = + 0

x t-x0 v

x

x

( / )m s ( / h)km

km m s/ h ///

¸

´¾ ®¾¾¬ ¾¾¾

3 6

3 6

+ + + + +18 18 18 18 18

18 36 54 72 90 108v (km / h)

+ + + + +5 5 5 5 5

5 10 15 20 25 30v (m / s)

t s2 12== t s1 1==

x m2 25== x m1 2 5== -- /

-5 ( -2 5/ ( -1(«

( )x0x vt xx vt x

v xv x

1 1 0

2 2 0

0

0

2 5 1

25 12

= += +

üýþ

Þ- = +

= +/ ( )( )

27 5 11 2 5/ / /= Þ =v v m s

Hn ½k¶A Swj ¾M

´ÃÀjï¶ nHo¤ Ï»H â¾²jI÷¶ nj

v x x¾ ®¾¾¾¾¾¾¾ - = + Þ2 5 2 50

/ /00

5= - m

B A

A

( B12 (

12 6/ (16 (

16 3/ («

x v t xx v t x

v xv x

A A A

B B B

A A

B B

= += +

üýþ

Þ= += +

=

0

0

0

0

650 30

600 30

50 30

( )( )

(vv v x xA B A B- + -) ( )0 0

x x mA B0 0 430- = -

50 30 43050 430

3016= - - Þ - = + =( ) /v v v v m sA B A B

50m B 430m A430 50 480+ = m A 30 s

v vx x

m sA BA B- =

-= =

D D30

480

3016 / B

( )a aav=t a v0 v Dx

( / )

( )

( / )

( / )m s t

s

m s

m sv a t vâ¾Êd² nj ´v] Søow

·I¶p

JIT{

¾Ã²»H Sø= +

2

0oow

t x at v t xâ¾Êd² nj ´v] ·I§¶ ¾Ã²»H ·I§¶= + +12

2

0 0

( / )

( / )

(m s

m s

v v a x xÂÄI¿º Søow

¾Ã²»H Søow

ÂÄI¿º ·I§¶

¾Ã²»H ·I

2

0

2

02- = -

§§¶

)

vv v

av =+

0

2

DDxt

v v=

+1 2

2

t( )Dt

B A

x x a a v xB A B A B A B A- = - + - + -1

2

2

0 0 0 0( )t (v )t (x )

a i== 1 SI t == 4

d i=1 ( d i= 2 ( d i= 4 ( d i= 8 (

x at v t x xx va= + + ¾ ®¾¾¾ = ´ ´ == =

=1

2

1

21 16 8

2

0 0

0 0

1

0 0, « »

d xi d i= Þ = 8( / ) /a m s++ 1 5 2 a

t 22m s/ 10m s/ t(

v0 0= « » v at v= + 0

v atv a t

atat t

1

21 5

10

22 1 5

=

= +ìíî

Þ== +

ìíî( / ) /

â¾²jI÷¶ pHHn ¯IM â¾²jI÷¶¶

.´Ã¹¨ï¶ ´¨ ¸ÃÄIQ¾ ®¾¾¾¾¾ = Þ =12 1 5 8/ t t s

8 B A 8015m s/ B

( 5

4( 5

2( 3

4( 3

2(

v t- x t- A «B

Dx at v t

v at v

a v

a v

= +

= +

ìíï

îïÞ

= +

= +

ìíï

îï

1

280

1

28 8

15 8

2

0

0

2

0

0

( ) ( )

( )

Þ= += + ´

ìíî

Þ= += +

ìíï

îï

=

80 32 8

15 8 8

80 32 8

120 64 8

40 32

0

0

0

0

a va v

a va v( )

aa a m sÞ = =4032

5

4

2/

B A

B 4 A( B A

4 ( 2 ( 2 ( 22 (

«Dx

v a x

v a x

vv

vv

aa

vv

A A

B B

A

B

A

B

A

B

A

B

2

2

2

2

20 2

0 2

4 2- =

- =

ìíï

îïÞ = = = Þ =

D

D( )

vv

v

vvv

av

av

A

B

A

B

A

B

=

+

+= =

0

2

0

2

2

( )v0 0= Dx at v t= +12

2

0

D D

D D

D

D

Dx a t

x a t

a ta t

tA A

B B

A A

B B

=

=

ì

íï

îï

Þ = Þ = ´

1

2

1

2

1 1 4

2

2

2

2

( )

( )

( )( )

( AAB

A

BtttD

DD

)2 12

Þ =

B A

vv

xtxt

tt

av

av

A

B

B

A

A

B

= = =

DDDD

DD

2

( Dt t tn n n= - -1 n

t n t n tnt nt t-

10 s 8 s 2 5 2 8´ - =

Dx a n v n a vn = - + = - +1

22 1 0 5

0 0( ) ( / ) n

Dx at n v t n at v tt n, ( ) ( / )= - + = - +1

22 1 0 5

2

0

2

0n t

Dx a

Dx a+

t

³ÔH â¾ÃºIY nj ÂÄI] ¾MI] ³ÔH â¾ÃºIY nj ÂÄI] ¾MI]n t m t

t n tatx x2 =

-D D, ,mmn m-

420 ( 16 ( 12 ( 8 (

Dx a a a m1

21 0 5 0 4 0 5

4

0 58= - + Þ = Þ = =( / ) /

// s «

D Dx a x m3 3

3 0 5 0 2 5 8 20= - + Þ = ´ =( / ) /

x t- v t- a t-

v0 0= a >0

v0 0> a >0

v0 0< a >0

v0 0= a

v0 0> a

8 s( SI

2 ( 1(2 2 ( 1 1(

8 s «

v xt

= = --

= ÞDD

16 16

8 00

x At Bt C A B C Ct= + + ¾ ®¾¾ = + + Þ ==2 0 16 0 0 16( ) ( )

4 s t s A B=¾ ®¾¾ = + +4 24 16 4 16( ) ( )¸¾ ®¾ = +4 2 4 1A B ( )t s A B A B= ¸¾ ®¾¾ = + + ¾ ®¾ = +8 816 64 8 16 0 8 2( ) ( ) ( )

( ),( ) /1 2 12 2

12Þ = - = Þ = -A a a m s

B A

x

x A

( B192 ( 186 (228 ( 200 (

t A «x x

A v t-

A v t a vt

m sA¥odT¶ nHj¼μº KÃ{- = = =- - = - = -D

D8 16

18

24

18

4

3/

v a t v t t sA A A= + Þ =- + Þ =

00

4

316 12

B v t a vt

m sB¥odT¶ nHj¼μº KÃ{- = = =- - - = =D

D8 20

18

12

18

2

3

2( ) /

t s B v a t v v m sB B B B= = + Þ = ´ - = -122

312 20 12

0nj Søow â¾LwId¶: /

Bt s=12 t

S xB= | |D= + ´ =( )20 12 12

2192m

D D Dxv v

t m xB B=+

= - + - ´ = - Þ =1 22

20 12

212 192 192

( ) | | m

++5m s/( 12

14 ( 13 5/ (28 ( 27 (a t- «

v t-

v at v

v tt s m sv

= + Þ

= +Þ = = + =

0

4 5

10 4 10 5 45

(1)

(

ôi â¾²jI÷¶:

nj Søow:( ) ( ) /22) ôi â¾²jI÷¶:

nj Søow:

v tt s v

= - - +Þ = = - - + =

2 10 45

12 2 12 10 45 41

( )( ) ( ) mm s/

ì

íïï

îïï

12 s

Dx S S m= + = + ´ + + ´ = + =1 2

5 45 10

2

45 41 2

2250 86 336

( ) ( )

Þ = = =v xt

m savDD

336

1228 /

v t- x t-

D Dx at v t x m= + Þ = + ´ =12

1

24 10 5 10 250

2

0 1

2( )( )

v at v s v m s= + Þ = + =0

10 4 10 5 45ââ :¾Êd² nj Søow ( ) /

Dx m2

21

22 12 10 45 12 10 86= - - + - =( )( ) ( )

Þ = + = + =D D Dx x x m®¨ 1 2 250 86 336

vxt

m sav = = =D

D®¨ 336

1228 /

x

( t s2 35== t s1 20==

x«

v t- a t-

t s2

35= t s1

20=

t s= 30

x

stav= D

v xtav

= DD

a vtav

= DD

a v. > Û0 ½kº¼{k¹U S¨oea v. < Û0 ½kº¼{k¹¨ S¨oe

x vt x= + 0km h m s/ //

/¸

´¾ ®¾¾¬ ¾¾¾

3 6

3 6

v at v= + 0

x at v t x= + +12

2

0 0

v v a x20

22- = D

vv v

av =+

0

2

D Dxv v

t=+

1 2

2n t n

Dx nn = - +( / ) a v0 5 0Dx n at v tt n, ( / )= - +0 5

2

0

-5030 40

(

40 2 ( 50 ( 50 2 ( 120 ( -v i j1 2 5== --

SI v i j2 17 10== ++

( 5 2 3 2 -x

-xt2 t1

( x

-SIt2 t1

+5 +2 5/-5 -2 5/

-10m s/ 25 s

( 20 (25 (40 (50 (

-

(

-5 x

( 10 (21 (25 (29 (

-

t s2 15== t s1 5==

t s4 45== t s3 20==-103

10

3

-107

10

7

-

( 2 (4 (6 (8 (

-a t== --12 4 v t t== -- ++6 4 22 SI

0 4/ ( 0 2/ (1 5/ ( 0 5/ (

-4 5/ 9024

45 ( 80 (15 ( 30 (

-B A

-xx m== --122 5/ t s== 5

(49 0/ ( 45 0/ ( 32 4/ ( 19 6/ (

-108 km h/3

2m s/ 165m

( tt2

1

t2 t120 ( 15 ( 10 ( 5 (

-5 2m s/5

2m s/20m s/ 25

( 20 ( 15 ( 10 ( 5 (

-t s1 0== x t t== ++ --2 4 82 SI( t s2 2==

2 ( 1 6/ ( 1 5/ ( 1( - 225 B 40m s/ 200 A

A

50m s/ A 2 2m s/B

( A105 ( 80 ( 82 5/ ( 57 5/ (

-x 2 2m s/OA O 8 s B A

( 18 (36 (45 (72 (

-2 13 2 v0( SI 25

5 ( 3 ( 2 5/ ( 1 5/ ( -x

t == 0( 6 (

7 (8 (9 (

-x

12 t s== 9 t s== 3(

3 (6 (12 (

-t s== 8

( 3 (4 (6 (

12 ( -

(3 (1(

-1(-3 (

- x t t== -- ++ --2 12 402 SI x( t s== 5

26 ( 24 ( 15 ( 10 ( -SI

x m0 3== -- t == 0 v t== --4

- -2 32t - -4 32t - +4 32t - +2 32t - v m s== ++3 / x

x t s== 4 x m== ++4( t s== 8

12 ( 8 ( 6 ( 4 (

-x

( t s== 12 t s== 612 (18 (

22 5/ (32 5/ (

-B A

500m t == 0B A

( 25 (75 (100 (125 (

-x t == 0

10m s/( x m== 6112 ( 22 (

6 ( 8 ( -4

( 1296 ( 48 (160 ( 128 (

-«

xx

d

x m d m= + = Þ = + =40 30 50 50 50 50 22 2 2 2

-a vtv vt t

i j i j i jav =

DD

=--

= + - - = +2 12 1

17 10 2 5

5

15 15( ) ( ) ( )55

«

Þ = + Þ = + = ´ =a i j a m sav av3 3 3 3 3 2 3 22 2 2 2| | /

-x «

x t-

-t v t- «t t2 t1

tx

-t2 t1 «t s= 2

t2 t1 4 s 2 s

v xt

m sav =DD

= --

= +10 04 2

5 / -«

v t@@

Dx S v v= = ´ =max max25

2

25

2

( )v xtav =DD

v xtv

v m sav = Þ = - Þ =DD

10

25

2

25 020

maxmax( ) /

-«

-«

-«

-«

-«

-«

- «A

B B A

AB B A

v xt

x xt t

mABB A

B A= =

--

= --

=DD

54 12

16 107 / s

2 s t 6 m x -«

5¢v

S| | | v | /¢ = Þ ¢ =v m s6

5

310

| |( , )Dx S m0 5 5 102

25= = ´ = -v t- «

( ) ( )15 5 15 5 202

1001

s s SIU á½pIM: =- ´ =

Þ = = =vSt

m sav11 100

1010

D/

( ) ([( ) ( )] [( ) ( )]) [(45 20 30 20 10 35 30 102

2 3s s S SIU ½pIM: + = - ´ - + - ´ - + 445 35 10

2

- ´) ] = - - + = -100 25 50 75

Þ =+

= --

= - Þ = -vS S

tm s

vvavav

av21

2

2 3

25

75

45 203

10

3D/

-x «

Dv2 Dv1

-«

-«

-«

-«

Dv a t-

| | | || | | | /| | | (t ) | /

D DD

Dv v

v m sv m s

t1 2

1

2

2 2 4

1 2 42 4= Þ

= - ´ =

= ´ - =üýþ

Þ - = ÞÞ =t s6

-«a v av

-x1 t1 «x2 t2 108 30km h m s/ /=

a m s= -3 2/x x x m= + =

1 2165

v at v t t sv m s va m s t t

= + ¾ ®¾¾¾¾¾¾ = - ´ + Þ == ==- =0

30 0

32 2

0

22

0 3 30 10//

»

»

..j¼{ï¶ þ¤¼T¶ ®ÃL¶¼UH ¸TÎo¬q¶oU pH k÷M ¾ÃºIY ¸ÄHoMI¹M10

1

2

2Dx at= + vv t xt t s v m sa m s x x0

10 30

32

22 02

2

1

23 10

= = =

=- =¾ ®¾¾¾¾¾¾¾ = ´ - ´»

»

//

( )D

++ ´

Þ =

ì

í

ïïï

î

ïïï

30 10

1502x m

x x x x x m= + Þ = + Þ =1 2 1 1

165 150 15

D Dx vt t t sx x t tv v m st s= ¾ ®¾¾¾¾¾ = ´ Þ = ¾ ®¾¾= == =

=1 10

2

30 1 1

1015 30 0 5

»/ / ¾¾ =

tt2

1

20

- «v t-

v x St

x S= = Þ = =DD

D( ) ( )20

25

Þ = = + + = + - +nHj¼μº oÄp SeIv¶ S m S S S t t t t500 52

25 2 55

21 2 3

2 2

( )

Þ==

ìíî

t st s S

5

202

�

� .SwH ϼL¤ ®MI¤oÃü ¾¨ j¼{ï¶ Âÿ¹¶ JIve ¸ÄH IM

25 2 15- =t s 25 2- t -2 «

¢ = -´

= -t s42 2

1 ¢ = -t BA2( ) ¢t

(| |)Dx

Þ = Þ =| | | |D Dx x 1

-«

-«

-«

- Q P A B «B

A ( )225 200 425+ = m

B tA 425 m

Q P

t D Dx x S S m S tB A B A A- = - = Þ =425 40

S t t t t tB =+ - ´ = - Þ - - =[ ( )] ( ) ( )25

250 50 625 50 625 40 425

Þ - = Þ = Þ =10 625 425 10 1050 105t t t s

- ( )Dx at v t= +12

2

0«

OB OA

AB

D Dx at v t OA t tx OA v1

2

0

0 2 21

2

1

22 01 0= + ¾ ®¾¾¾¾¾ = ´ ´ + == =,

D Dx a t v t OB t tx OB v2

2

0

0 2 21

28 8

1

22 8 02 0= + + + ¾ ®¾¾¾¾ = ´ ´ + + = += =( ) ( ) ( ), 116 64t+

OB OA t t t

t t t s

- = Þ + + - =

Þ + = ¾ ®¾ + = Þ =¸160 16 64 160

16 64 160 4 10 6

2 2

16

( )

OA t m= = =2 26 36( ) OA

-Dx1 «Dx2 t s= 6 t s= 4

Dx at v t a v a v I1

2

0

2

0 0

1

213

1

22 2 13 2 2= + Þ = + Þ = +( ) ( ) ( )

Dx x x a v x a v x2 6 4

2

0 0

2

0 0

1

26 6

1

24 4= - = + + - + +[ ( ) ( ) ] [ ( ) ( ) ]

Þ = +25 10 20

a v II( )

-«

-«

-«

(I ) ( ) / /I I a a m s-¾ ®¾¾¾ = Þ = = =12 8 128

3

21 5

2

atx xn m

ax x

at n t m2 2 2 3 2123 1

425 13

26=

--

Þ =--

Þ = - =D D D D, , , ,( )

Þ = =a m s64

1 52/ /

-t s= 4 «t s= 8 t =0

- «t s= 6

9 s 3 st s= 6x xt s t s= ==3 9

9 s 3 s6 s 3 s 12m

48 6 42- = m 6 m -4 s «

( )v v xt1 2

2

+= D

D( , )4 8s s

v v x tv

v m s( ) ( ) ( , ) ( ) ( ) /4 8 4 8 8

82

0

2

12 0

8 46

+= Þ

+= -

-Þ =

DD

- «12 s 6 s t s= 6

( , )6 12s s 18 m

D D Dx a t v t

a a m s

= +

Þ = - + Þ =

1

2

181

212 6 0 1

6 12

2

6 6 12

2 2

( )

( ) /

( , ) ( ) ( , )

( , )0 6 s

Dx a t a t a m s= ¢ Þ - = ¢ Þ ¢ = -12

181

21

2 2 2/

-«

-«

-«

-«

a m s=1 2/

- «

x t t

x a t v t x

a a m

v m s

= - + -

= + +

ì

íï

îï

Þ= - Þ = -

=

ìí

2 12 40

1

2

1

22 4

12

2

2

0 0

2

0

/ s

/

ïï

îï¾ ®¾¾¾ = - += +v at v v t0 4 12

v t-S1 =

| |S2 = t s= 5 t s= 3

½k{ïÂö SÎIv¶ = + = ´ + - ´

= + =

S S

m

1 2

12 3

2

5 3 8

2

18 8 26

| | ( )

- «

v at vv t

a m s= += -

üýþ

Þ = -0 24

4 / v0 0=

x0 v0 a

x at v t x x t t x t= + + Þ = - + - Þ = - -12

1

24 0 3 2 3

2

0 0

2 2( ) ( )

-x t- «

x at v t x x at t= + + Þ = + +12

1

23 4

2

0 0

2 x0 v0

t s= 4

v at a a m st s= + = ¾ ®¾¾ + = Þ = -=3 0 4 3 0 34

4 2/

t s= 8 x t-

x t t xt s= - + + ¾ ®¾¾ = - + + ==38

3 43

88 3 8 4 4

2 8 2( ) ( )

-«

-«

-«

- «a m s= - -

-= - = -9 12

21 0

21

211

2/ t s=12 t s= 6

v at v v tt s v m st s v

= + Þ = - + Þ= = - + == = - + =

ìíî

012

6 6 12 6

12 12 12 0

( ) : /( ) :

S m= - ´ =( )12 6 62

18

-A t s=10 «t s=10

B t s=10 B a v vt t m sB =

--

= - = -2 12 1

240

162 5/ /

D = + = ´ - ´ + =x at v tB1

2

1

22 5 100 40 10 275

2

0( / ) ( ) m

A

D = = - ´ = -x mA SeIv¶ ÁI¿¹¶30 10

2150

B A

A B

- = - - =500 150 275 75 m -a x- «

a xD v v a x20

22- = D

( ) ( )a xÆoø ϼö ½k{諸n ÁIÀï®ÃõTv¶ SeIv¶´ =D ) S S a x

1 250 36 2 22+ = - + ´ = = D

v v a x20

22- = D

nHj¼μº oÄp SeIv¶

v v v m s2 2100 2 22 144 12- = ´ Þ = Þ = /

-«

-«

-«

-a t- «

v t- v t- a t--5 +4

v a t v m s1 1 1 0

4 4 4 20= + = ´ + = / v a t v m s2 2 2 1

5 12 4 20 20= + = - ´ - + = -( ) /

S1

4 20 4

248= + ´ =( ) , S

2

8 4 20

240= - ´ =( )

| | ( ) | |S S S S m3 1 2 3

12 8 20

240 128= - ´ = Þ = + + =½k{ Âö SÎIv¶

-«

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