Suppose
v
′
(
t
)
=
12
t
−
8
\displaystyle {v}'{\left({t}\right)}={12}{t}-{8}
v
′
(
t
)
=
12
t
−
8
and
v
(
0
)
=
30
\displaystyle {v}{\left({0}\right)}={30}
v
(
0
)
=
30
.
Then
v
(
t
)
=
\displaystyle {v}{\left({t}\right)}=
v
(
t
)
=
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