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
, ................................... ......................................... . ......................................... ................................ .
. .
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3
.
.............
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27
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28
:
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29
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30
. .
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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 ,
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o
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7
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u3=40m/s . . .
9
:
.
. T
10
,
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, ;
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):
......
.... .. ..
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
.
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8
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. . . .
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18
A
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. . h=½ gt2. . =gt. . .
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.
.
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
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; (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
;
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;
.O 1. 2. 3.
:
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.
.
.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
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. .
,
,
45 , . . . . . .
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.
.
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.
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44
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.
16
. . .
. .
.
46
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).
47
: .
. . . .
. .
.
. : ...................
48
u=60Km/h.
.
. . .
;
49
; ;
,
;
.
u m/ s
.
30 20
.
10
. .
t=3s
.
t=1s
t=2s. ”
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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