2.00
ˆˆ
ˆ
ˆ
[2.00(8) 5.00(2)]i + [6.00 7.00(16)] j
(6.00i
106 j) m
t
r
=
=−
−
=
−
G
(b) Taking the derivative of the given expression produces
23
( ) = (6.00
5.00) i
28.0 j
vt
t
t
−−
G
where we have written
v
(
t
) to emphasize its dependence on time. This becomes, at
t
= 2.00 s,
= (19.0i
224 j) m/s.
v
−
G
(c) Differentiating the
G
()
found above, with respect to
t
produces
2
12.0 i 84.0
j,
tt
−
which yields
2
=(24.0i 336 j) m/s
a
−
G
at
t
= 2.00 s.
(d) The angle of
G
v
, measured from +
x
, is either
1
224 m/s
tan
85.2 or 94.8
19.0 m/s
−
§·
−
°
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This note was uploaded on 05/17/2011 for the course PHY 2049 taught by Professor Any during the Spring '08 term at University of Florida.
 Spring '08
 Any
 Physics

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