Answer
$a_{(4)}=-42\frac{m}{s^2}$
Work Step by Step
As $v=\frac{dx}{dt}=6t-6t^2$,
$a=\frac{dv}{dt}=6-12t$
Next, we substitute $t=4$ in the expression to find the value of $a$ at $t=4s$:
$a_{(4)}=6-12(4)=6-48=-42\frac{m}{s^2}$
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