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80. We make use of Eq. 444 and Eq. 445.
The velocity of Jeep
P
relative to
A
at the instant is
ˆˆ
ˆ
ˆ
(40.0 m/s)(cos60 i sin 60 j)
(20.0 m/s)i (34.6 m/s)j.
PA
v
=°
+
°
=
+
G
Similarly, the velocity of Jeep
B
relative to
A
at the instant is
ˆ
ˆ
(20.0 m/s)(cos30 i sin30 j)
(17.3 m/s)i (10.0 m/s)j.
BA
v
+
°
=
+
G
Thus, the velocity of
P
relative to
B
is
ˆ
ˆ
(20.0i 34.6j) m/s (17.3i 10.0j) m/s
(2.68 m/s)i (24.6 m/s)j.
PB
PA
BA
vvv
=−=
+
−
+
=
+
GGG
(a) The magnitude of
PB
v
G
is
22


(2.68m/s)
(24.6m/s)
24.8 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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