Answer
$v_{(3)}=-36\frac{m}{s}$
Work Step by Step
We need to differentiate $x=3t^2-2t^3$ to find $v$:
Therefore, $v=\frac{dx}{dt}=6t-6t^2$
For $t=3s$
$v_{(3)}=6(3)-6(3)^2=-36\frac{m}{s}$
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