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Mathematics
Mathematics
Problem
The position of a particle is
s
(
t
)
=
{
2
t
3
0
≤
t
≤
4
64
+
12
(
t
−
4
)
t
>
4
.
s(t)=\begin{cases}2t^{3} & 0\le t\le 4\\ 64+12(t-4) & t>4\end{cases}.
s
(
t
)
=
{
2
t
3
64
+
12
(
t
−
4
)
0
≤
t
≤
4
t
>
4
.
Find the instantaneous velocity
v
(
4.5
)
v(4.5)
v
(
4.5
)
.
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