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Vector : a physical quantity that has both magnitude and direction resultant vector : the single vector which has the same effect as the
scalar : a physical quantity that has magnitude only original vectors acting together
Equations of Motion :
↳ apply to motion in a straight line
0
Vf = Vi + aDt
·
Vf2 =
Vi 2 + 22DOC
VIDt +
·
Dx = agt2
Vi
(Uf
+
· E
Dec =
E
vi initial )
·
Velocity (M S
-
= .
·
Vf =
final Velocity (M . S-)
vectors
·
a =
acceleration (M .
S-2)
displacement (M)
·
Ax =
scalar
& .
+ =
time(s)
when :
-Velocity is constant
calculating average (use totals)
-
can USE :
D
V =
At
note : rate is anything divided by time
· a= DV/DE
distance (d) :
the length of path travelled -
scalar
displacement (ADC) :
a change in position -
Vector
speed (s) : the rate of change of distance -
Scalar
Velocity (v) : the rate of change of position/displacement -vector
acceleration (a) : the rate of change of velocity -
vector
,Remember :
·
starting from rest >
-
Vi 0
=
·
comes to a stop > Vf 0
- =
slowing down >
-
a so still moving in + direction
·
Vf
constant velocity Vi
>
-
a =0 : =
·
working out average >
-
use totals !
·
changes in ac >
-
parts must be worked out separately !
g
1M S
. =
3, 6 kM .
4
X
-
M S .
-
3 ,
6 kM n .
↑
-
-
, Cari time(s) S peed attained
Stage 1 0-8 72
Stage > 8-22 16
(i) Acc during stage ??
Vi = 72 Vf =
Vi + aDt
Vf = 16 16 =
72 + 14a
Dt =
14 2 = -
4
d " 4 M S-S
: =
.
-
ii) A I totalsa for 22sec :
Stage I Stage z
Vi = 0 Vi = 52
Dx =
288M
Vf Vf =
16
A x =
616M
=
72
Dt = S Dt = 14
Ax =? Ax =?
Tas
At =
22 VI
DO YD +
Dx = 904
904/22
v =
V =
?
.. = 41 , 1 m S . N
-
D
iii) Velocity-time graph !
n
72 -
V
16
st
Os
· in
W
, iv) car eventually brought to rest after 2
, 5km N .
loaded on truck
transported 3km on bearing 45:
Resax !
T
-
e 135
Res
Ax
2,5
O
cosine Rule
A= B 2
+ 22 -IBLCOSA
A =, 3 + 2, 52 -
2(3)(2 , 5 ; co3135
A =
5 , 08km
sine Rule
sin A -
sinB
a b
Sinissim
S
5 , 08
:
B =
24 , 680
: 1 = 5, 08km & 24 , 68
°
E of N
D
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