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Mathematics
Mathematics
Problem
For
t
≥
0
t\ge 0
t
≥
0
seconds, the velocity of a particle moving along a line is
v
(
t
)
=
5
t
e
−
0.2
t
v(t)=5t\,e^{-0.2t}
v
(
t
)
=
5
t
e
−
0.2
t
meters per second. Determine the time
t
>
0
t>0
t
>
0
at which the velocity attains its maximum value.
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