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Mathematics
Mathematics
Problem
The position of a particle moving along a straight line is given by
s
(
t
)
=
t
3
−
12
t
2
+
36
t
s(t)=t^{3}-12t^{2}+36t
s
(
t
)
=
t
3
−
12
t
2
+
36
t
meters for
0
≤
t
≤
6
0\le t\le 6
0
≤
t
≤
6
seconds. Determine the time
t
t
t
at which the particle is farthest from the origin and state that maximum displacement.
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