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Mathematics
Mathematics
Problem
The velocity of a particle for
0
≤
t
≤
4
0\le t\le 4
0
≤
t
≤
4
seconds is given by
v
(
t
)
=
t
3
−
6
t
2
+
9
t
v(t)=t^{3}-6t^{2}+9t
v
(
t
)
=
t
3
−
6
t
2
+
9
t
meters per second. Determine the total distance the particle travels over this time interval.
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