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Mathematics
Problem
A particle moves along a line so that its velocity at time
t
t
t
seconds is
v
(
t
)
=
t
3
−
6
t
2
+
9
t
+
4
v(t)=t^{3}-6t^{2}+9t+4
v
(
t
)
=
t
3
−
6
t
2
+
9
t
+
4
(in meters per second). Find the time(s) in
0
≤
t
≤
10
0\le t\le10
0
≤
t
≤
10
at which the particle’s position function has an inflection point, and justify your answer.
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