USTI -
Gravity and Motion
Chapter 2: Vectors and Projective
dimensions
Motion .1
2
IHorizontalVectorcan be
Review
described using quadrants tre bearing
a
Vectors
,
. 1
2 in 2
.
.Verticalvectorscan
2 be described
using up, down , left right, clos see
,
↳ Horizontal Plane .
3 Opposites : (up > down) (North-> South) Cleft-> right) (west > East)
-
-
= 7
, , ,
4 .
270T can also be written as
purely West (W)
in
-
> use
quadrants -N
, bearings . a)
5 i .
full circle bearing : 223T
w Quadrant bearing S43W
eg
. ii. . :
- NUS
49
~
horizontal rector
w
E >E
b) i .
1200T
S60 E
·
WL >*
ii .
60
-
↳
545W
or 2230T
S Mir vertical rector
6..
-
plane up down
↳ Vertical >
left right Between left and
-
, , , left 40
gright
up axis . 40
up up
~ down from left
...
Left right Written conventionally :
38
60 anticlockwise from the
from the downwards direction direction
30 anticlockwise
upwards
:
~
down
2 2 .
Adding Vectors in I dimensions.
Graphical methods + Geometric methods
Head to rail > sOmE 2OmS 390 example ISNEast , ION SYSTE znon90
eg .
,
Parrallelogram -
cEa2 + b2 I5N
sOmE
20mS
geometric R = 23
ION measure ruler
R = 36m -
graphical
in
I
Use protractor
i Y cosO A
=
10
,For
vz O =
cas" (8) = 33 36 .
= 340 = 180
·
124 or S36 E 18 + 90 = 108T or
El80S
2 .
2 Review
so FON N R 337+ 282 (33)(28)20(133)
= + Ins
R 35N 8 upwards metal
45
33N7
=
= 34 .
450 fr
Vectors
2 3
Subtracting
sin" (1)
·
0 = = 22 50
.
.
d = 227 .
31 km 8 R = 227 31km E22
.
.
50%
vz = 16 6 m/s N
.
v. = 18 7 m/sW .
- -
V= = 18 7 .
m/s E
N1 7 18 7 E
Review Use
.
2 3
T
. =ISRB631
3
.
MON
Main thing subtract when R
pythag I 16 6
-
&
R
-
> R = 32 5N
.
NSG'E
: =
25m
# ANGE in
force/velocityeg .
O = fan" (1 16) . = 48 40 .
R =
25m/s N48 4 E .
. 4 Vector
2 Components .5
2 Projectile Motion Position
M
of Ball
·Horizonta
Break down resultant
forces of
y1
into vertical ~
line
of motion
Up + down
bal being
tho
and
horizontal components using trigonemetric rules ! 100 .. Displacement
Review Q8 . · Time
eg
.
/
MTsin12 SNx /Tcos12 16 6N Velocity of Ball
y
= 3
FORMULAS !
N
= = =
Ux Van
.
.
, =
↑
-
yz
= 28sin = 8 N . x2 =
28cos18 = 26 6N .
↓g =
-
9 .
8 m/s2 stays same
throughout
~ x = x, + xz = ION
Vy
=
My +
gt At peak
relocity tim
7
12 IN
y Eg + 0
z
+ +
y + yz vy
= = or =
uy
.
v
Sy
=
R
,
12 IN .
I6N NSIE
R = 15 .
77 = 16N Vy2 =
my2 +
2gsy
* MASS
51"
&
-
O = tan" (i) =
Ux =
Va CAN BE IGNORED
ION ↑ does not affect projectile motion
Gravity and Motion
Chapter 2: Vectors and Projective
dimensions
Motion .1
2
IHorizontalVectorcan be
Review
described using quadrants tre bearing
a
Vectors
,
. 1
2 in 2
.
.Verticalvectorscan
2 be described
using up, down , left right, clos see
,
↳ Horizontal Plane .
3 Opposites : (up > down) (North-> South) Cleft-> right) (west > East)
-
-
= 7
, , ,
4 .
270T can also be written as
purely West (W)
in
-
> use
quadrants -N
, bearings . a)
5 i .
full circle bearing : 223T
w Quadrant bearing S43W
eg
. ii. . :
- NUS
49
~
horizontal rector
w
E >E
b) i .
1200T
S60 E
·
WL >*
ii .
60
-
↳
545W
or 2230T
S Mir vertical rector
6..
-
plane up down
↳ Vertical >
left right Between left and
-
, , , left 40
gright
up axis . 40
up up
~ down from left
...
Left right Written conventionally :
38
60 anticlockwise from the
from the downwards direction direction
30 anticlockwise
upwards
:
~
down
2 2 .
Adding Vectors in I dimensions.
Graphical methods + Geometric methods
Head to rail > sOmE 2OmS 390 example ISNEast , ION SYSTE znon90
eg .
,
Parrallelogram -
cEa2 + b2 I5N
sOmE
20mS
geometric R = 23
ION measure ruler
R = 36m -
graphical
in
I
Use protractor
i Y cosO A
=
10
,For
vz O =
cas" (8) = 33 36 .
= 340 = 180
·
124 or S36 E 18 + 90 = 108T or
El80S
2 .
2 Review
so FON N R 337+ 282 (33)(28)20(133)
= + Ins
R 35N 8 upwards metal
45
33N7
=
= 34 .
450 fr
Vectors
2 3
Subtracting
sin" (1)
·
0 = = 22 50
.
.
d = 227 .
31 km 8 R = 227 31km E22
.
.
50%
vz = 16 6 m/s N
.
v. = 18 7 m/sW .
- -
V= = 18 7 .
m/s E
N1 7 18 7 E
Review Use
.
2 3
T
. =ISRB631
3
.
MON
Main thing subtract when R
pythag I 16 6
-
&
R
-
> R = 32 5N
.
NSG'E
: =
25m
# ANGE in
force/velocityeg .
O = fan" (1 16) . = 48 40 .
R =
25m/s N48 4 E .
. 4 Vector
2 Components .5
2 Projectile Motion Position
M
of Ball
·Horizonta
Break down resultant
forces of
y1
into vertical ~
line
of motion
Up + down
bal being
tho
and
horizontal components using trigonemetric rules ! 100 .. Displacement
Review Q8 . · Time
eg
.
/
MTsin12 SNx /Tcos12 16 6N Velocity of Ball
y
= 3
FORMULAS !
N
= = =
Ux Van
.
.
, =
↑
-
yz
= 28sin = 8 N . x2 =
28cos18 = 26 6N .
↓g =
-
9 .
8 m/s2 stays same
throughout
~ x = x, + xz = ION
Vy
=
My +
gt At peak
relocity tim
7
12 IN
y Eg + 0
z
+ +
y + yz vy
= = or =
uy
.
v
Sy
=
R
,
12 IN .
I6N NSIE
R = 15 .
77 = 16N Vy2 =
my2 +
2gsy
* MASS
51"
&
-
O = tan" (i) =
Ux =
Va CAN BE IGNORED
ION ↑ does not affect projectile motion
