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Mathematics
Mathematics
Problem
An object moves along a line with position
s
(
t
)
=
t
3
−
6
t
2
+
9
t
s(t) = t^{3} - 6t^{2} + 9t
s
(
t
)
=
t
3
−
6
t
2
+
9
t
(meters), where
t
t
t
is in seconds. Determine all times in the interval
0
≤
t
≤
5
0 \le t \le 5
0
≤
t
≤
5
at which the object changes direction.
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