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Mathematics
Problem
An object moves along a straight line and its position at time
t
t
t
(in seconds) is given by
x
(
t
)
=
t
3
3
−
5
t
2
2
+
6
t
.
x(t) = \frac{t^3}{3} - \frac{5t^2}{2} + 6t.
x
(
t
)
=
3
t
3
−
2
5
t
2
+
6
t
.
Determine all turning points by finding the times when velocity becomes zero.
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