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Mathematics
Problem
A particle moves along a line so that its acceleration for
t
≥
0
t \ge 0
t
≥
0
is given by
a
(
t
)
=
t
+
3
t
3
+
1
a(t) = \frac{t+3}{\sqrt{t^3+1}}
a
(
t
)
=
t
3
+
1
t
+
3
. If the particle's velocity at
t
=
0
t = 0
t
=
0
is 5, what is the velocity of the particle at
t
=
3
t = 3
t
=
3
?
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