Summary Further Studies Physics IEB/ISC Topic 4 Mechanics

Mechanics
Projectile motion


I dimensional motion
Same as core physics up +



(2 =
x + 2as 20m S" . =
1SF

(2073 817/ 11)
=
v + 21 9 -




,
-




~
V =
24 8 m
.
Soon
,


& 25 m 5 . dom
= 20m S .
SF




V = Gt st


(20) ( 9 81)7
( 25)
= + -
-
.




t =
4 , 595/
= 55 SE




Rocket Boll
=
: :

vi = 23 + 2a)
S
=
Gl + 2ct2 =) Va =
Up
= (16 ,
0 02 =
(25572 + 2) -

3 17s
59(4)2 ()(4)
.

=
0(4) + =




127 0x104m
=

, 516 01
,
S =
1 ,

= S =
8a S =
24 S = xt + zat)
70'm
S =
Up (6)
+ 1 9
-


. 817/s)"
84 24
=


Total 11x103m Sp =
>B S =
Gha-176 50
-




Ax : R ,




2( =( Up
-

176 ,
58

VR
"
=
22 , 0725 m .
S



V = G + Gl




44 , /45 = 0 + G(4)
-
C
=
5 ,
518m . 5 = 6m . s




2 Dimension

Intial velocity has vertical horizontal components
Vo = Kost ,
Vy
= Using

No wind or air resistance

No horizontal acceleration
= 0 ..
a
U, be
Gravitational
-
Z
acceleration is 9 81m
.
.
s

Time for horizontal motion time for vertical motion
+x
ty
=



Often Vital link in
questions
Mange is horizontal distance
"vere =
4 SinD v2 = 2 + 2as



Opposite to math =
/21 8) Sin (32
,
9) ,
02 =
111 , 1281" + 2/ 9 81)s

State reference points
-




.




= 11 ,
128m . S

S = 6 3115m
E
,



the
right ~
.




g
.
up and to is
positive :
Staal =
18 , 5 M above grown




Swee :) 4
nor
= U cost 46
,
38


10 , 5 = =
(21 8) c0337 80
, ,


I
= 1, 809m .
S


t =
1 , 887s


no till
Snor() +



end Of =
/1802)(1 00 ,




Motion
=
33 ,
6056m


= 33 6
,
m

, A
X

Knur 3
D 128
=
2 I
+ 2 as of D



W Le
4x

Yvers
- Fin
(11 1287
=
vvorl =
,
+ 2( -
9 . 81)( -
4 , 20)

U14 , 36m . S" Or Vert = -4 , 36 m .
>
Ux = Ecos280 -15
=
N/A
Ver = 14 , 36 m . 3" down
Ta
14, 36
16 = 620289 =
8 .
5 m . S
"up
= F
Froo" Vot +
TcQ =
17 , 809 2 = 18 , 12


-
:
This
11 (1 8091 + ,
Q =
38 98 below
,
positive e-axis


=
~
22 8772m
1
at
-

,
·
S V= 4 +


: 22 9 m . S
,


0 =
8 .
5 + 1 -
9 81)7
.




7 : 0
.
875m




s =
(E) +




-288 =
(e)(0 .
=
3 7m ,




:
height- Imm ,




less then


SucMorun) 1s
26 =
)((1 5) .




Whor =16m S" .
right V
hor
=
UcosO Ver "
Using

=
=
1520360" 15 s in 30

T 5m 3 = 12 , 94m S
-
= . .
.


-
= Om 3 = 10 S
right
m
.




p
.




~




v2 = u + 2a)


0 =
18 +
2 -

9 81)3
.




S =
0 .
6m

-

~
P : Height
-
=




Use
* exact 11 to Q2
values from .

Only round for answers




M



>



. I
9
We h + zas
9
.2 .
93
L
9 4 .




"
02 Urer" 2(-9 81(4 U 0
U 9 8m
V 4
= + 001 =

at
. ,
.
.


dan = +
j

-8 , 85m . z
8 85 m 3" 5 ~ 8 (8 85) 1
=
Were 0m
=

Wer or
9 81)
=


Va cost 9
= +
.
-

,
:
N/ .
. .




= 8 85R S" up
19
.




, 9025
,


=
10 10362 t =
0
,




=
~ Using 4 , 6 ms"

right
=
ver




, 55
8 =
18 Sind
Speed =
4 6
,
m .
s
So
=
(e)
0 = 62 , 4
J - Li3) 10 9022
=
:


,




8 30 m
=



,

, > T


W
↑




t




1 1
.
.
1 2.
.
1 3
..
4 = 4 cos & Us : 4 Sind v
=
=
2
+ 2 as
Va
x S
of
=
(64) cos yo =
64Sin3 22 =
(7, 75)
2
+ 219 81/2. . 89 ye

=
63 52m S
,
.
=
7 79m
,
S
.
=
117 68 m s
,
.


E D

↳

s =
14 + 5
. =
Gl
+
a ha =
Wa
(33 52 52)7
+ 63 , 13


2(9
.




11 , 9 =

Sy
=
(7 79) 81)10 19) 2
=
+
. , ,



t = 0
,
195
~ =
1. 7 m 1 ,
63 = Fa 1, +
Tao o

=
0 187s : above net =
H 6812 17 7332 ,
+
,
0 :
8 85°
, belon #e-axis
,
=
117 , 95

~ 118 m S .
x




64 ,
4m .
5




&




Mar
3 .
1 . 1 . .I
3 .
2. .
3 1 3
.
..




U = =
8 , 20 m s . v =

13 + 2as

()
S 3


S
L "

114, 2) 02
- 2(9
81) by
= =

Y
+
.




ta 600 = ja 5
=
10 , 2x 10
, 3 =
)
-
~ = 10 t 1 , 455
~

↳= 3m
=

14 , 2 m .
S A , dow B C




S = (1)
/20(/1
+o .




=

,
43
=
11 867m
,



11 , 9 m
=




right
~