If a particle is moving on a path with the given equation $y=3t^2-t+5,$ find its rate at $(2,1).$ where $y$ is in meters and $t$ is in seconds.

Select the correct response:

$12\frac{m}{s}$

$11\frac{m}{s}$

$10\frac{m}{s}$

$9\frac{m}{s}$