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76. We make use of Eq. 416 and Eq. 410.
Using
ˆˆ
3i 4j
at
t
=+
&
, we have (in m/s)
()
(
)
22
0
00
ˆ
ˆ
ˆ
ˆ
(5.00i 2.00j)
(3 i 4 j)
5.00 3 /2 i
2.00 2
j
tt
vt
v
ad
t
d
t
t
t
=
+
+
+
=
+
+
+
³³
&&&
Integrating using Eq. 410 then yields (in metes)
0
33
ˆ
ˆ
(20.0i 40.0j)
[(5.00 3 /2)i (2.00 2 )j]
ˆ
ˆ
(20.0i 40.0j) (5.00
/2)i (2.00
2 /3)j
(20.0 5.00
/2)i (40.0 2.00
rt
r
vd
t
d
t
t t
=
+
+
+
+
+
=+++
++
=++ +++
(a) At
4.00 s
t
=
, we have
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This test prep was uploaded on 04/22/2008 for the course PHYSICS 1100 taught by Professor Grassers during the Spring '08 term at Rensselaer Polytechnic Institute.
 Spring '08
 Grassers

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