WZ 1: vectoren, vectorrekenen en kinematica
·
5350
&
· ---- B
tan (35 % =
Too
( x = 70
. 02m
-
2
-
(m ,, y ,) =
70 ;
-
3
,
5)
o
&
(22 , y2) :
·in
(
Dy
= 4
, 1 (m2 Ya) ,
= (7 ,
10
;
-
3 5
,
+ 4
,
1)
b = 7, =
(7, 10 j
·
0
. 6)
27
(23 %3) (Ma 43) ,
= (7 ,
10 -
15
; 0
,
60) =
(17 ,
9 ; 0. 60
y2)
,
(n2 ,
------------------
O
&
⑧ - 7
2
- = -
7
, 9 n + 0
. 6 y
·
I602 + 0
.
= 7 ,
92 m
tan(v)
== 4
,
340 ten Noorden v We he
- - -
2 as
~ s
-N
(y -
as)
·
cos(30 %
= y = 39
-
Sin (30
=
·
n = 20
wi
- 2
/
O
(n as) -
= -
2300 ex + 3984 g + 2450e
↳ Z
(1 =
200 39842 24502
2
+ + =
5212
-
En e
zo
(-3 yey
-
+ xe n + 2ey +
yez) =
-
= = 3x -
Ge
-
S n-component :
Ex =
Vox + axt
y-component :
Vy =
Va+ aut
S
0 =
-
14 + 67
=
Sat
taxt (7)
7 37 +
=
+ =
Ma +
·
x
7
=
7
=
= 0 -
14 -
+ -
6 .
= -
13 3 0 -
= +
,
Voxt taxt 7
z +-3(7) 8
·
y yo + + 0 + = 2
-
-
= =
-
,
Dus : = mex +
yex = =
16 , 3 -
5 , 2 ey
#
-ook
= 200 = smans e n
(t) x = t Vanto = 200s .
25m/s = 5000 m = 5
,
0 km
, (a) Er geldt :
x-richting : constant =
ax = 0
w y-richting : a constant en
indienbeweging mithen een
Vox = o
S S
+
opsplitsen i n m 20 Voxt +
+ a 20 VoxtQ
= + n =
+
,
componenten :
(7)
y =
yo +
Vat - gt2 y =
y0
-
7gt2
S
(e) x = no + Vat +
taxta n a h ou re l tijd op hoogte 0
,
65m :
V
+ gt
10 060
45-7
yo Voyt . 65 2
y = + 0
-
=
-
= =
,
① invullen in & : 15 = 0 + Vox 0 ,
6 1 v = 25m/S
S
u =
Voxt &
y =
yo - gt
7 (c)t
n a hourel tijd op de grand : 0 = 2 ,
45-10t-t = 0
.
= 0
.
7s
③ invullen in : n = 25 .
0
,
7 = 17 ,
5 m
17 5-15 2 57 b a l landt i n het
,
=
, = juiste vak
:
Y
----------
sino coördinaten schip :
2
15
-
e ·un
7
n n
S S
kustwacht Max (40)
Voxt
tax 50 in Voxt
taxt
Mo + + 5 18 26 cir
schip Max
=
: = : = Ko + + =
,
+ ·
5000 20(40 % 7
tayz t 2
19 . 32 26
Yay Voxt +ay + +
yo + + =
Ysx y0 +
Voxt + =
.
-
= =
Op onderscheppingspunt geldt :
·
Uw
·
=
Msx Yny =
Y3
= 50 sin (b) + = 5
,
18 + 26 sin (40 % + ( 50 Los(0) + = 19 , 32 + 26 ·
cos(40 % +
t 1, e
in (0)
*+
19 9 2
= coslo 1
↳ 7)
32+
= , ,
Sind + costu = 1
224172 173 16567 396 , 806472 + 769 , 70887
24
= 279 ,
+ ,
+ 52624
+
= 1
2
250072 2500 +
7 ) 1823 9695 + 942 82447 + 400 0948 = 0
, , ,
D = 3807960 ,
698
-
Dus :
tag
sin(o): = 27
,
70 ten ooten ulh Noord e
S taxt
n =
no + Wxt +
y y0 + wy +
+g+
-
=
87
S
m
n = Vo ·
cos(40 % +
7)
y yo + wo in(40 % +
-gt
-
=
S
[ t =
Castroo
3 , 05 2 + 5. in (90 %+
+ gt
-
=
Ee
7 , 341
%
m
·
= 7
105 (40 Wo 10
cuo
in 9 . 81 ( #
=
= V . ,
ontrol
·
5350
&
· ---- B
tan (35 % =
Too
( x = 70
. 02m
-
2
-
(m ,, y ,) =
70 ;
-
3
,
5)
o
&
(22 , y2) :
·in
(
Dy
= 4
, 1 (m2 Ya) ,
= (7 ,
10
;
-
3 5
,
+ 4
,
1)
b = 7, =
(7, 10 j
·
0
. 6)
27
(23 %3) (Ma 43) ,
= (7 ,
10 -
15
; 0
,
60) =
(17 ,
9 ; 0. 60
y2)
,
(n2 ,
------------------
O
&
⑧ - 7
2
- = -
7
, 9 n + 0
. 6 y
·
I602 + 0
.
= 7 ,
92 m
tan(v)
== 4
,
340 ten Noorden v We he
- - -
2 as
~ s
-N
(y -
as)
·
cos(30 %
= y = 39
-
Sin (30
=
·
n = 20
wi
- 2
/
O
(n as) -
= -
2300 ex + 3984 g + 2450e
↳ Z
(1 =
200 39842 24502
2
+ + =
5212
-
En e
zo
(-3 yey
-
+ xe n + 2ey +
yez) =
-
= = 3x -
Ge
-
S n-component :
Ex =
Vox + axt
y-component :
Vy =
Va+ aut
S
0 =
-
14 + 67
=
Sat
taxt (7)
7 37 +
=
+ =
Ma +
·
x
7
=
7
=
= 0 -
14 -
+ -
6 .
= -
13 3 0 -
= +
,
Voxt taxt 7
z +-3(7) 8
·
y yo + + 0 + = 2
-
-
= =
-
,
Dus : = mex +
yex = =
16 , 3 -
5 , 2 ey
#
-ook
= 200 = smans e n
(t) x = t Vanto = 200s .
25m/s = 5000 m = 5
,
0 km
, (a) Er geldt :
x-richting : constant =
ax = 0
w y-richting : a constant en
indienbeweging mithen een
Vox = o
S S
+
opsplitsen i n m 20 Voxt +
+ a 20 VoxtQ
= + n =
+
,
componenten :
(7)
y =
yo +
Vat - gt2 y =
y0
-
7gt2
S
(e) x = no + Vat +
taxta n a h ou re l tijd op hoogte 0
,
65m :
V
+ gt
10 060
45-7
yo Voyt . 65 2
y = + 0
-
=
-
= =
,
① invullen in & : 15 = 0 + Vox 0 ,
6 1 v = 25m/S
S
u =
Voxt &
y =
yo - gt
7 (c)t
n a hourel tijd op de grand : 0 = 2 ,
45-10t-t = 0
.
= 0
.
7s
③ invullen in : n = 25 .
0
,
7 = 17 ,
5 m
17 5-15 2 57 b a l landt i n het
,
=
, = juiste vak
:
Y
----------
sino coördinaten schip :
2
15
-
e ·un
7
n n
S S
kustwacht Max (40)
Voxt
tax 50 in Voxt
taxt
Mo + + 5 18 26 cir
schip Max
=
: = : = Ko + + =
,
+ ·
5000 20(40 % 7
tayz t 2
19 . 32 26
Yay Voxt +ay + +
yo + + =
Ysx y0 +
Voxt + =
.
-
= =
Op onderscheppingspunt geldt :
·
Uw
·
=
Msx Yny =
Y3
= 50 sin (b) + = 5
,
18 + 26 sin (40 % + ( 50 Los(0) + = 19 , 32 + 26 ·
cos(40 % +
t 1, e
in (0)
*+
19 9 2
= coslo 1
↳ 7)
32+
= , ,
Sind + costu = 1
224172 173 16567 396 , 806472 + 769 , 70887
24
= 279 ,
+ ,
+ 52624
+
= 1
2
250072 2500 +
7 ) 1823 9695 + 942 82447 + 400 0948 = 0
, , ,
D = 3807960 ,
698
-
Dus :
tag
sin(o): = 27
,
70 ten ooten ulh Noord e
S taxt
n =
no + Wxt +
y y0 + wy +
+g+
-
=
87
S
m
n = Vo ·
cos(40 % +
7)
y yo + wo in(40 % +
-gt
-
=
S
[ t =
Castroo
3 , 05 2 + 5. in (90 %+
+ gt
-
=
Ee
7 , 341
%
m
·
= 7
105 (40 Wo 10
cuo
in 9 . 81 ( #
=
= V . ,
ontrol
