1. initial conditions t1 = 0 x1 v1 = u final conditions t2 = t x2 v2 = v
origin
always show an arrow
for +X direction
always specify the origin
v < 0 a < 0
v > 0 a < 0
v < 0 a > 0
v > 0 a > 0 +X
x < 0
x > 0
x = 0
origin

4. Z 𝑘
O(0,0,0) 𝑗 Y 𝑖 X

5. P(1, 2)
𝑠 𝑃
[m] O
𝜃 𝑃
𝜃 𝑄
𝜃 𝑅
𝑠 𝑅
R(-4, -3)
Q(3, -4)
𝑠 𝑄
[m]

6. P(1, 2)
[m] O
𝑠 𝑅
𝑠 𝑄
𝑠 𝑅𝑄
R(-4, -3)
Q(3, -4)
[m]

7. P(1, 2)
𝑠 𝑃
[m]
𝑠 𝑃𝑄 O
R(-4, -3)
𝑠 𝑄
Q(3, -4)
[m]

8. Y 𝑠 𝑗 𝜃 𝑖
O(0, 0) X

10. P(1, 2)
𝑠 𝑅𝑃
𝑠 𝑃
𝑠 𝑄𝑃
𝑠 𝑅
𝑠 𝑄
𝑠 𝑅𝑄
Q(3, -4)
R(-4, -3)

11. P(1, 2)
Q(3, -4)
R(-4, -3)

13. head
tail 𝑣 v v

14. 𝐵
- 𝐴
2 𝐴

17. 𝑛 𝑛

19. Y X Initial position of crate final position of crate 𝐹 𝑁 𝐹 𝑁 𝐹 𝑇 𝐹 𝑇
𝐹 𝑁
𝐹 𝑁
𝐹 𝑇
𝐹 𝑇 X
𝐹 𝐺
𝐹 𝐺 𝑠
displacement of crate
𝐹 𝑇 𝜙

20. applied force 𝐹
Origin:
pivot point 𝑟
lever arm vector 𝑛 𝐹 𝑟 𝜃

21. v = 0 x v v < 0 v > 0 t t a = 0 v a a < 0 a > 0 t t
velocity = slope of tangent x/t graph
change in displacement =
area under v/t graph v
a = 0 a
a < 0
a > 0 t t
acceleration =
slope of tangent v/t graph
change in velocity =
area under a/t graph

22.  + a > 0 a > 0 F1 m F2 m m g = +9.8 m.s-2 r FC
centripetal acceleration aC directed
towards centre of circle v
centripetal force FC directed
towards centre of circle
Magnitude of v is constant
Change in direction of v is always directed to centre of circle

23. +
v > 0
v < 0 m m
p = m v > 0
p = m v < 0
v1 = u
force F acts time t
v2 = v m m
initial momentum p1
final momentum p2

24. +
v > 0
v < 0 m m
p = m v > 0
p = m v < 0
v1 = u
force F acts over displacement s
v2 = v m m
initial KE EK1
final KE EK2
work done on object W = F s

25. - +Q V d qe V = 0 -Q electric field is uniform between charged plates
electron accelerated
by electric field

26. vorb2 r2
vorb1 r1 T2 T1 M

27. A I
ammeter  R V
voltmeter

28. slope = 0
Bmax
T/4
max neg slope
max pos slope

29. coil rotates clockwise
current
I (out)
side views of coil A B A A A A A A
current
I (in) 0o
 
180o
360o
90o
270o
torque always acts to produce a clockwise rotation
T = 5.0 ms

30. uniform magnetic field B into pagev
negative charge q enters uniform
B-field
FB causes a change in direction, no change in speed since FB acts at right angle to v r
force F on charge always directed to centre of circle
Circular motion: Magnetic force = Centripetal force