The position of a particle moving in the XY-plane at any time 't' is given by x=$(3t^2-6t)m; y=(t^2-2t)m.$Select the correct statement about the moving particle from the following

Position of a particle moving in the XY plane be  t,

x = (3t² - 6t)m

y= (t²  - 2t)m

Let, 

$\hat{i}$= x

$\hat{j}$ = y

Substituting the value we get , 

 a = $\frac{d^{2}x}{d{t}^2} \hat{i}+\frac{d^{2}y}{d{t}^2} \hat{j}$

a = 6 $\hat{i}$+ 2$\hat{j}$

v = $\frac{dx}{dt}\hat{i} + \frac{dv}{dt}\hat{j}$

v = (6t-6) $\hat{i}$+ (2t-2) $\hat{j}$

v(t=0) = -6 $\hat{i}$ - 2 $\hat{j}$

v(t=1) = 0 $\hat{i}$ + 0 $\hat{j}$ = 0