A particle moves along the x-axis according to the equation $$x=6t^2$$ where $$x$$ is displacement in meters and $$t$$ is time in seconds. Therefore

A

the acceleration of the particle is $$6\,\mathrm{m\,s^{-2}}$$

B

the particle follows a parabolic path

C

each second the velocity of the particle changes by $$9.8\,\mathrm{m\,s^{-1}}$$

D

the velocity of the particle is $$6\,\mathrm{m\,s^{-1}}$$ at $$t=0.5\,\mathrm{s}$$