Ola

1

. .

:

.

,

.

.

2

.

;

3 Na

:

. .

mm. s.

4 5

1000cm 2.

100

. .

.

40

6 7

250s.

m3, dm3, mm3. m, dm, mm.

180km.

100m 100m (

t=0.

5,8s, 7,2s 50m

)

100m.

9

10,1s .

70m

70m

1h 10min 40s,

, 3h 56min 00s.

10

:

;

10L.

850m, 70m

.

.

11 12

m2, dm2, mm2.

«

;» .

5cm.

.

,

12cm ,

:

.

1

y (cm)

y (cm)

x (cm)

y (cm)

x (cm)

. 3.00

x (cm)

. 6.00

13

. 10.00

t0=5s,

x=20cm 8s.

7s.

. .

: -10cm.

4s

x x

:

.

.

14

;

15 .6 .8

16 . -11 . 27

17

(

x2=-24cm.

18

:

cm

. -14 .

,

x=3cm

x1=10cm

:

x1= + 8cm

x x kai . -38cm

:

.

: ; ;

19

cm)

.4 .

x=-30cm. . 38cm . -12cm

. .

x=2cm.

,

x=6cm,

.

T=2s. . .

;

;

: .

2

20

.

:

21

:

s m kg N

22

:

, 1L , 10cm2

. .

=

, 100 m

,

23

10-4m 10-3m3 10-3m2

= = “

24

;”

.................................... . .

............................

=5cm.

:

10cm -5cm -8cm 3cm

25 26

7cm

, ................................... ......................................... . ......................................... ................................ .

. .

......................... ....... .

....................

. ........................

.

3

.

.............

.........

............... . ...........

27

. ( )

( ) ( )

: ( ) ( )

28

:

(

)

29

( ) ( ) .

)

.

;

,

.

;

.

. ;

.

(

, ( )

, .

.

( )

.

.

( ) .

30

. .

;

31

33

;

.

1,2s . . .

( )

100m.

1s.

:

. : .

4

. .

. .

34

.

f1=1Hz , .

.

:

f2=0,9Hz t=1s.

.

.

35

x1=-10cm, 10cm :

x x . 20cm

36

. 0cm

-4cm . (8cm, 8cm) . (8cm, 0cm)

.

(4cm, 8cm).

12cm

x

:

37

. 20cm

y.

. (0cm, 20cm)

. (12cm, 20cm)

;

t=4s

.

y Km

B

5 4 3 2 1

A 1

.

II.

2

3

4

x Km

, . .

. . : :

III.

:

:

(

)

(

)

.

5

( IV. V.

)

;

(0, 3)

38

(2, 0)

.

=300 . 12

. 90

s

.2

.9

s

;

39H

;

. .

t=2,5min.

min s

.

=8h.

:1

=30

,1

=360

.

6

1

x= t.

2

,

t.

o

3

=-3+2t, (

:

. .

u3=40m/s . . .

.

3

t

.

.

u1=30m/s

:

m,

s).

.

.

4

.

0=3

m, =+2m/s

t1=4s

t2=6s

t3=7s.

.

4

10kg,

A A

,

5

A

,

.

.T

.

5kg.

B

,

.

6

,

A

.

A ,

: .' .' . ' . '

. .

,

o

,

o

v,

.

o ,

o

.

.

7

7

=-3+2t, (

:

. .

u3=40m/s . . .

9

:

.

. T

10

,

,

, ;

, :(

):

......

.... .. ..

11H

5s ....................... .......................................................

30m/s. H

10m/s

: . . . .

. .

13H

:

. . . .

14

t3=6s

.

30Km/h

. . . .

t3=4s

t3=7s.

, .

12

.

u1=30m/s .

s).

.

.

8

m, t

.

. .

. . .

:

. . .

. ,

. ,

.

.

8

.

15

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. . . .

. .

.

.

16H

. . . .

17 . . .

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.

. .

.

:

,

,

.

.

. .

,

,

.

18

A

B. E ,

.B

, ):

. . h=½ gt2. . =gt. . .

; (B

.

.

19

, . .

20

. . :

. .

.

.

.

9

.

21

A, B A: B: : (1) .....

.

.

(2) .....

22

(1 .

X,

2)

.

X

1km, X

3km ,

.

( > 0):

.t x= 0t+½ t2 x= t = 0 t x= 0t-½ t2

.

0

u .

u

23

, . . . .

.

.

. , ,

. .

24H

x=x0 .

x x0 u T

t.

25

:

a=0, u 0 u0=0, 0 >0, u<0

26H 27

, ........... ,

. .H . .H

...........

........... ...............

.

10m

............

.

10

.

.............................. ........... ..

28H

A

90km/h.

.H . H ...................... . H ...................... .

29

A

E

’

............ ............................... ’ ........... ........... ........... ...........

h=2m.

.O . H ........................................ .

H .......................

. T .......................... ........................

.............................

30H

u-t:

(m/s)

10

t (s)

.T .H .H

31

.................................................................. ............................................ ................................................. ............................................................... ..................................

u1=50km/h

X A

,

B,

.

. X

,

,

+ 50 K m/ h

.A

u2=60km/h

Y X X

,

30km/h

B

:

110km/h 10km/h

X . A

A

,

Y,

B

A X.

.

11

32

x-t

:

. .T . 0-1h .H . 50m/s

: . 2-3h . 1/50km/h

33

A

. 6-7h 0.3s . 50km/h . .

800m u=30m/s

B

2

=10m/s . N

;

:

.T A B :

.

A B

. H

;

.

.T .O

. 26,6s

. 80s

. 40s

m

: (B

).

. 10s .

.N

34

.

u=72km/h

,

, . .N .N

. ,

,

.

-t.

. O

. (s)

0.0 0.5 1.0

. x-t, u-t

35 ,

;

(m) 0.00 0.54 2.15

.

12

t=5s.

1.5 2.0 .N . N

4.84 8.60 . .

s

t2

.A

;

.

.A

;

.

36

)

.H .H .H .H

; (B . .

.

. .

37O

. T ’ B

.

:

20Hz

. .

38

A

B

f=20Hz. H

20Hz 20Hz.

.

, A

u=2m/s

,

.O A ,

u=5m/s.

B

uA

R=20m. M :

.B .O

A

.

:

u

.

13

.O .K .K

.

.

. .

.N

.

39

50m

AB,

R=20m

u=72km/h. E .

B

:

.H

;

.

. .A

. ,

.

40

h=1,5m

.

. . . H

;

; ,

;

.O 1.

2.

3.

:

, ,

.

.

.Y

.

.

,

41

AB

2

: g=10m/s

.

B

O

u=20m/s.

1,25m

2s. A .

2

: g=10m/s .

. H .T 2m,

,

.

14

.

. .H .

42

A A

;

B

;

,

(

,

.

);

-

:

(m/ s) 10 8 6 4 2

. .K . 7m/s .X

1

2

3

4

5

6

7

1s . 6m/s

8

9

10

. 7,5m/s ,

t (s)

0-2s; : . 8m/s ,

0-2s

,

.

. .

2-4s . .

4-10s . . .

:

.

15

t s 0

2,5 10

u m/s 10 5 0 7,5

H H H H

.

. .

.

.

.

H

;

43

. (B

.H .H

. .

,

,

45 , . . . . . .

. .

.B

.

:

.

.

)

.

.

44

.

:

.N

.

,

,

:

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.

16

. . .

. .

.

46

. N )

)

,

.

: )

).

47

: .

. . . .

. .

.

. : ...................

48

u=60Km/h.

.

. . .

;

49

; ;

,

;

.

u m/ s

.

30 20

.

10

. .

t=3s

.

t=1s

t=2s. ”

”

0

2

4

t

s

,

. .

.

17

50 . .

,

.

:

.

0

51

t

10 -20

x=60m, x=-60m.

20

0

1

(

.1.

t=1s

.

u m/ s

.

.

.

5 t s

,

;

.

s

-10

.

,

. .

5

20

60m.

5s)

1

u m/ s

10

: .

1s

.

”

t=2s.

”

t=3s

, .

52

.2 . .

.

. ,

.

18

1 t=1s. u=1460m/s.

2

,

.

v2=35km/h : 4h, 140km.

3

75km.

20m/s 5m/s : )

.

4

)

: . 3000s, 60km

.

. 5000s, 100km.

v1=15m/s. v2=30m/s. ;

5

72km/h

72km/h

7

108km/h

20km .

8

,

x=300km v1=40km/h

, . ;

6

,

.

5s

: 10s.

108km/h.

1000m;

:100s.

.

1000m;

80km.

80km/h.

15min

: 20s.

1h.

60km/h. : 90km/h.

.

8s

2

a. , .

t=6s.

.

v0=3m/s v0=3m/s .

.

4m/s

2

=2m/s

v=5m/s

t=10s

.

19

.

4m/s2

v0=30m/s

v=10m/s,

AB.

t=10s

=150m .

1m/s2, : . 128m, 32m/s

9

)

108km/h

.15m/s, 54m

. 0,2m/s2, 40m

. 5s,100m

10s. .

: 3m/s2, 150m.

10

u=60m/s =10m/s2,

.

11

.10m/s.

.

: 180m.

72km/h 250m 20s

) )

«

»

.

:

. .

12

10m/s

13

10m/s.

)

14

2m/s2.

.

: 10s, 200m.

15m/s

2

2m/s . )

: -0,75m/s2, 5m/s.

4m/s2.

,

7,5m

1m/s2.

t=3s

.

: 5s, 100m, 25m/s.

.

. .

.

15

) t1.

v1

t1

: -2,5m/s2.

v1=20m/s.

)

4m/s2.

.

20

: 5s, 5s.

16

4s.

30m/s.

.

17

80m, : 5m/s2, 10m/s.

444m.

3m/s2

12m/s.

1,2m/s2

. .

.

18

0,1 v/v

3s 72km/h

2m/s2,

19

.

) )

.

.

.

.

: 115m, 160m.

40m

:

.

20

0,75s.

.

5m/s2 2s

: 44s.

: 62,5m, 5s, 25m/s.

3

..

10m. : 4m/s2.

21

.

64/100

.

: 5s.

22

.

2s v =340m/s

. .

800m

.

: 230m.

.

21

23

4m/s2

50m.

.

24

72km/h

: 5s, 20m/s.

36km/h

300m.

.

: 100m.

25

5m/s2

100m.

26

10m/s. : t=11s.

20m/s.

5s.

27

,

.

72km/h.

5m/s2.

0,8s,

,

28 ) ) )

,

.

s=16m.

480m. . .

: 56m.

=4m/s2.

:

.

29

: 4m/s2, 50m.

: ) 4,5s, ) 40,5m, ) 18m/s.

10m/s

:

2m/s

.

30

: 80s, 40s.

72km/h.

0,8s

.

56m =5m/s2. N

.

:

.

22

: g=10m/s2.

16

1 2

.

4m/s

.

)

)

3,6s .

2s.

)

.

320m

3 .

:

: 10m/s, 5m, -10m/s.

160m/s.

80m.

4 .

5

60m/s.

20m/s

.

80m.

6

: 60m, 2s.

: 160m.

:

.

)

;

: ) 5m, 35m, )0,447s, 0,025s.

20m/s.

3/4

7 .

: 10m/s.

40m.

8

uo )

vo.

)

.

2s.

:

.

: 30m/s, 45m, 6s.

20m/s.

9

)

.

: ) 1s,15m )10m/s ,10m/s.

:

10

: 80m.

)

!!!

h,

h.

t=9s.

:

.

23

) )

h/3

,

. .

11 v .=340m/s.

: h=405m, v=73,4m/s, 90m/s.

340m.

,

100m

12

.

: 9,2s.

2s.

: 40m/s.

.

13

t1=3s

;

t2=1s.

;

;

14

: 40m, 25m.

.

: . .

55m

.

15

2s ;

,

.

16

2s.

) )

;

: 30m/s, 40m/s, 50m/s.

48m/s, .

17 .

18

:

. .

: 6s, 60m/s.

80m

: g=10m/s2.

t1=3s

80m,

: a=8m/s2, v =32m/s.

.

t2=1s.

;

;

: 40m, 25m.

.

55m

.

: 6s, 60m/s.

.

24