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6. To emphasize the fact that the velocity is a function of time, we adopt the notation
v
(
t
)
for
/.
dx dt
(a) Eq. 410 leads to
2
ˆˆ
ˆ
ˆ
ˆ
( )
(3.00 i
4.00 j + 2.00k)
(3.00 m/s)i
(8.00 m/s) j
d
vt
t
t
t
dt
=−
=
−
(b) Evaluating this result at
t
= 2.00 s produces
= (3.00i
16.0j) m/s.
v
−
G
(c) The speed at
t
= 2.00 s is
22
 
(3.00 m/s)
( 16.0 m/s)
16.3 m/s.
vv
==
+−
=
G
(d) The angle of
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 Spring '08
 Any
 Physics

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