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Mathematics
Problem
A particle moves along a straight line so that its position (in meters) at time
t
t
t
seconds is
s
(
t
)
=
t
3
−
6
t
2
+
9
t
+
4
s(t)=t^{3}-6t^{2}+9t+4
s
(
t
)
=
t
3
−
6
t
2
+
9
t
+
4
for
0
≤
t
≤
5
0\le t\le 5
0
≤
t
≤
5
. Determine the time
t
t
t
at which the particle attains its greatest position on the interval.
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