DESCRIBING
MOTION
IN
1D
(1D KINEMATICS)
August 26th, 2016
Instructor: Dr. Travis Merritt
Review
Review
Instantaneous Velocity
Velocity to Position
Acceleration
Suppose Kevin is trying to get back home after being
downtown for most of the night. He is unsuccessful. He
ends up right back where he started. Below are the av
erage displacement vectors that describe his path back
home. What is the length of
Δ
~
r
3
? All lengths are given
in kilometers.
A
2 km
B
2.5 km
C
5.3 km
D
4.5 km
E
6 km
3
Review
Instantaneous Velocity
Velocity to Position
Acceleration
Suppose Kevin is trying to get back home after being
downtown for most of the night. He is unsuccessful. He
ends up right back where he started. Below are the av
erage displacement vectors that describe his path back
home. What is the length of
Δ
~
r
3
? All lengths are given
in kilometers.
A
2 km
B
2.5 km
C
5.3 km
D
4.5 km
E
6 km
3
Review
Instantaneous Velocity
Velocity to Position
Acceleration
Suppose Kevin is trying to get back home after being
downtown for most of the night. He is unsuccessful. He
ends up right back where he started. Below are the av
erage displacement vectors that describe his path back
home. What is the length of
Δ
~
r
3
? All lengths are given
in kilometers.
A
2 km
B
2.5 km
C
5.3 km
D
4.5 km
E
6 km
3
Review
Instantaneous Velocity
Velocity to Position
Acceleration
Vector
~
A
has a magnitude of 2.00 m and vector
~
B
has
a magnitude of 5.00 m.
If the direction of each vector
is unknown, what is the largest possible value for the
magnitude of
~
A

~
B
?
A
3.00 m
B
5.39 m
C
7.0 m
D
3.00 m
4
Review
Instantaneous Velocity
Velocity to Position
Acceleration
Vector
~
A
has a magnitude of 2.00 m and vector
~
B
has
a magnitude of 5.00 m.
If the direction of each vector
is unknown, what is the largest possible value for the
magnitude of
~
A

~
B
?
A
3.00 m
B
5.39 m
C
7.0 m
D
3.00 m
4
Review
Instantaneous Velocity
Velocity to Position
Acceleration
Vector
~
A
has a magnitude of 2.00 m and vector
~
B
has
a magnitude of 5.00 m.
If the direction of each vector
is unknown, what is the largest possible value for the
magnitude of
~
A

~
B
?
A
3.00 m
B
5.39 m
C
7.0 m
D
3.00 m
4
Review
Instantaneous Velocity
Velocity to Position
Acceleration
REVIEW
1
Vector Mathematics
Subtraction of vectors
5
Review
Instantaneous Velocity
Velocity to Position
Acceleration
REVIEW
1
Vector Mathematics
Subtraction of vectors
5
Review
Instantaneous Velocity
Velocity to Position
Acceleration
REVIEW
1
Vector Mathematics
Subtraction of vectors
5
Review
Instantaneous Velocity
Velocity to Position
Acceleration
REVIEW
1
Tools to analyze motion: Motion Diagrams and Vectors
2
Quantities that describe motion  how an object’s position
changes in time
average speed
=
distance traveled
time interval spent traveling
~v
avg
=
Δ
~
r
Δ
t
6
Review
Instantaneous Velocity
Velocity to Position
Acceleration
REVIEW
1
Tools to analyze motion: Motion Diagrams and Vectors
2
Quantities that describe motion  how an object’s position
changes in time
average speed
=
distance traveled
time interval spent traveling
~v
avg
=
Δ
~
r
Δ
t
6
Review
Instantaneous Velocity
Velocity to Position
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 DURRILL
 Physics, Acceleration, Velocity