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Mathematics
Problem
A particle moves along a line with velocity
v
(
t
)
=
(
t
−
4
)
(
t
−
1
)
v(t)=(t-4)(t-1)
v
(
t
)
=
(
t
−
4
)
(
t
−
1
)
feet per second for
0
≤
t
≤
6
0\le t\le 6
0
≤
t
≤
6
. Compute the total distance the particle travels during this interval, expressing your answer in feet.
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