IMPORTANT DEFINITIONS
displacement:
i
f
r
r
r

=
∆
velocity:
dt
r
d
t
r
v
t
=
∆
∆
=
→
∆
lim
0
momentum:
v
m
p
=
force:
[
]
[
]
impulse
the
is
where
,
A
A
A
p
d
dt
p
d
F
=
weight:
N/kg
9.8
)
mag(
where
,
=
=
g
g
m
F
g
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(based on C3B.1)
An object is observed in a certain reference frame to
move from the position [3.0 m, 2.5 m, 1.0 m] to the position
[1.0 m, 4.5 m, 2.0 m] during a time interval of 0.50 s.
(A)
What is the object’s displacement during this interval?
(Write your answer as a column vector.)
(B)
What are the components of the object’s velocity during this interval?
(Assume that the time interval is sufficiently short that the velocity is
essentially constant.)
=

=

=
∆
m
1.0

m
2.0
m
0
.
4

m
1.0

m
2.5
m
0
.
3
m
2.0

m
4.5
m
0
.
1

i
f
r
r
r
=
⋅
=
∆
∆
=
m/s
2.0

m/s
4.0
m/s
8.0

s
5
.
0
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 Spring '08
 DeCarlo
 Physics, Force, Mass, Momentum, General Relativity, 1.2 kg, kg m/s, 1.0kg

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