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Mathematics
Problem
A particle moves along a straight line with velocity
v
(
t
)
=
3
t
2
−
12
t
+
9
v(t)=3t^{2}-12t+9
v
(
t
)
=
3
t
2
−
12
t
+
9
meters per second, where
t
t
t
is measured in seconds. Determine whether the particle’s speed is increasing or decreasing at
t
=
4
s
t=4\text{ s}
t
=
4
s
. Show supporting work.
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