H.W.

1
H.W. 3 Kinematics 1

• Chapter 2.1 - 2.8
• Problems 2, 3, 4, 11, 12, 15, 16, 18, 22, 27,30
• Due next Day 6, Tues 10/5
• HW CHECK Mon., Day 5

2
Kinematics

• Mathematical methods of describing motion without
  regard to the forces producing it.
• Motion described in terms of
• displacement
• velocity
• acceleration
• all as a function of time

3
Straight line Motion

• Left or Right on Horizontal
• Up or down
• Inclined plane
• Free-fall Motion

4
Motion Sign Convention

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5
Motion Sign Convention
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6
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7
2.
8
3.
9
4.
10
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11
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12
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13
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14
REMINDER SARRAH A.
TOMORROW!
15
Velocity and Acceleration
F
V
Speed increases
a
F
V
Speed decreases
a
V
Speed constant
a
F
Direction changes
a AND F always in same direction
16
Displacement vs. Time Graph
m/s
Slope Dd/Dt
Slope velocity
do
distance
Velocity 0
time
17
Displacement vs. Time Graph
velocity
Slope Dd/Dt
Velocity 0
Constant
distance
do
time
18
Distance vs. Time Graph
Slope Dd/Dt
velocity
distance
Average Velocity
do
time
19
Distance vs. Time Graph
Slope Dd/Dt
velocity
distance
Instantaneous Velocity
Slope of tangent
do
time
20
Velocity vs. Time Graph
Slope Dv/Dt
m/s/s
m/s2
Slope acceleration
vo
velocity
accel 0
time
21
Velocity vs. Time Graph
Slope Dv/Dt
acceleration
accel 0
Constant
velocity
vo
time
22
Acceleration vs. Time Graph
Slope Da/Dt
m/s/s/s
m/s3
Slope JERK !!!
acceleration
ao
time
23
Displacement vs. Time Graph
Slope Velocity
do
distance
Area ???
nonsense
Area d x t m x s
time
24
Velocity vs. Time Graph
Area Ddistance
Area How far /-
vo
velocity
Area ???
m
Area v x t m/s x s
time
25
Velocity vs. Time Graph
Area Ddistance
Dd A1 A2
AREA 2
vo
velocity
AREA 1
time
26
Velocity vs. Time Graph
Area Ddistance
INTEGRATION
vo
velocity
time
27
Acceleration vs. Time Graph
Area Dvelocity
Dv
Dv
Area a x t
Dt
Dt
ao
acceleration
Area ???
UNITS ?
Area a x t m/s/s x s
m/s
time
28
Motion Graphs
d
Slope v
0
t

Slope a
0
t
v
-

t
a
-
29
Motion Graphs
Slope v
constant
d
t

t
v
Slope a
0
-

t
a
-
30
Motion Graphs
d
- constant
Slope v
t

Slope a
0
t
v
-

t
a
-
31
Motion Graphs
df
d
D distance
do
t

Area D distance
v
t
-
Slope a
constant

t
a
-
32
Kinematics Websites

• Motion Graphs

33
Kinematics Equations
y Vf
x t
b Vo
m slope a
vf
y mx b
velocity
vo
Vf at Vo
Vf Vo at
time
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Kinematics Equations
Area Ddistance
Area triangle rectangle
Area ( ½ bh) ( bh)
d ½ t(Vf Vo) tVo
Vf Vo at
Vf -Vo (at)
vf
vo
velocity
time
35
Area d ½ t(Vf Vo) tVo
d ½ t(at) Vot
d ½ (at2) Vot
d Vot ½ (at2)
36
d Vot ½ (at2)
Vf Vo at
d Vot ½ (at2)
Vf 2 Vo2 2ad
37
KIMEMATICS EQUATIONS (L3)
Vf Vo at
d Vot ½ (at2)
Vf 2 Vo2 2ad
38
HW 3 2-7
39
HW 3 2-11
40
HW 3 2-1314
41
HW 3 2-15
DALMATION
MUT
Dm
Dd
X 135m
FIND Dd, Dm, TIME
Vf Vo at
d Vot ½ (at2)
Vf 2 Vo2 2ad
42
HW 3 2-16
t 0
tf ?
Dc
CAR
CAR
TRUCK
TRUCK
DT
X 1560m
FIND Dc, DT , tf
Vf Vo at
d Vot ½ (at2)
Vf 2 Vo2 2ad