Answer
The spot is moving left just after coming to rest.
Work Step by Step
$x = 9.00~t- 0.750~t^3$
$v = 9.00-2.25~t^2$
At $t=2.00~s$, the spot is at rest.
When $t \gt 2.00$, then $v \lt 0$
Therefore, the spot is moving left (in the negative direction) just after coming to rest.
